Quantum Field Theory And Gravity

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Quantum Field Theory and Gravity

Felix Finster,Olaf Müller,Marc Nardmann,Jürgen Tolksdorf,Eberhard Zeidler
Quantum Field Theory and Gravity Book PDF

Author : Felix Finster,Olaf Müller,Marc Nardmann,Jürgen Tolksdorf,Eberhard Zeidler
Publisher : Springer Science & Business Media
Page : 382 pages
File Size : 47,5 Mb
Release : 2012-02-08
Category : Mathematics
ISBN : 9783034800433

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Quantum Field Theory and Gravity by Felix Finster,Olaf Müller,Marc Nardmann,Jürgen Tolksdorf,Eberhard Zeidler Pdf

One of the most challenging problems of contemporary theoretical physics is the mathematically rigorous construction of a theory which describes gravitation and the other fundamental physical interactions within a common framework. The physical ideas which grew from attempts to develop such a theory require highly advanced mathematical methods and radically new physical concepts. This book presents different approaches to a rigorous unified description of quantum fields and gravity. It contains a carefully selected cross-section of lively discussions which took place in autumn 2010 at the fifth conference "Quantum field theory and gravity - Conceptual and mathematical advances in the search for a unified framework" in Regensburg, Germany. In the tradition of the other proceedings covering this series of conferences, a special feature of this book is the exposition of a wide variety of approaches, with the intention to facilitate a comparison. The book is mainly addressed to mathematicians and physicists who are interested in fundamental questions of mathematical physics. It allows the reader to obtain a broad and up-to-date overview of a fascinating active research area.

Quantum Field Theory in a Nutshell

A. Zee
Quantum Field Theory in a Nutshell Book PDF

Author : A. Zee
Publisher : Princeton University Press
Page : 608 pages
File Size : 41,9 Mb
Release : 2010-02-01
Category : Science
ISBN : 9781400835324

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Quantum Field Theory in a Nutshell by A. Zee Pdf

A fully updated edition of the classic text by acclaimed physicist A. Zee Since it was first published, Quantum Field Theory in a Nutshell has quickly established itself as the most accessible and comprehensive introduction to this profound and deeply fascinating area of theoretical physics. Now in this fully revised and expanded edition, A. Zee covers the latest advances while providing a solid conceptual foundation for students to build on, making this the most up-to-date and modern textbook on quantum field theory available. This expanded edition features several additional chapters, as well as an entirely new section describing recent developments in quantum field theory such as gravitational waves, the helicity spinor formalism, on-shell gluon scattering, recursion relations for amplitudes with complex momenta, and the hidden connection between Yang-Mills theory and Einstein gravity. Zee also provides added exercises, explanations, and examples, as well as detailed appendices, solutions to selected exercises, and suggestions for further reading. The most accessible and comprehensive introductory textbook available Features a fully revised, updated, and expanded text Covers the latest exciting advances in the field Includes new exercises Offers a one-of-a-kind resource for students and researchers Leading universities that have adopted this book include: Arizona State University Boston University Brandeis University Brown University California Institute of Technology Carnegie Mellon College of William & Mary Cornell Harvard University Massachusetts Institute of Technology Northwestern University Ohio State University Princeton University Purdue University - Main Campus Rensselaer Polytechnic Institute Rutgers University - New Brunswick Stanford University University of California - Berkeley University of Central Florida University of Chicago University of Michigan University of Montreal University of Notre Dame Vanderbilt University Virginia Tech University

Quantum Field Theory II

Edouard B. Manoukian
Quantum Field Theory II Book PDF

Author : Edouard B. Manoukian
Publisher : Springer
Page : 364 pages
File Size : 54,5 Mb
Release : 2016-09-26
Category : Science
ISBN : 9783319338521

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Quantum Field Theory II by Edouard B. Manoukian Pdf

This book takes a pedagogical approach to explaining quantum gravity, supersymmetry and string theory in a coherent way. It is aimed at graduate students and researchers in quantum field theory and high-energy physics. The first part of the book introduces quantum gravity, without requiring previous knowledge of general relativity (GR). The necessary geometrical aspects are derived afresh leading to explicit general Lagrangians for gravity, including that of general relativity. The quantum aspect of gravitation, as described by the graviton, is introduced and perturbative quantum GR is discussed. The Schwinger-DeWitt formalism is developed to compute the one-loop contribution to the theory and renormalizability aspects of the perturbative theory are also discussed. This follows by introducing only the very basics of a non-perturbative, background-independent, formulation of quantum gravity, referred to as “loop quantum gravity”, which gives rise to a quantization of space. In the second part the author introduces supersymmetry and its consequences. The generation of superfields is represented in detail. Supersymmetric generalizations of Maxwell’s Theory as well as of Yang-Mills field theory, and of the standard model are worked out. Spontaneous symmetry breaking, improvement of the divergence problem in supersymmetric field theory, and its role in the hierarchy problem are covered. The unification of the fundamental constants in a supersymmetric version of the standard model are then studied. Geometrical aspects necessary to study supergravity are developed culminating in the derivation of its full action. The third part introduces string theory and the analysis of the spectra of the mass (squared) operator associated with the oscillating strings. The properties of the underlying fields, associated with massless particles, encountered in string theory are studied in some detail. Elements of compactification, duality and D-branes are given, as well of the generation of vertices and interactions of strings. In the final sections, the author shows how to recover GR and the Yang-Mills field Theory from string theory.

Progress and Visions in Quantum Theory in View of Gravity

Felix Finster,Domenico Giulini,Johannes Kleiner,Jürgen Tolksdorf
Progress and Visions in Quantum Theory in View of Gravity Book PDF

Author : Felix Finster,Domenico Giulini,Johannes Kleiner,Jürgen Tolksdorf
Publisher : Springer Nature
Page : 302 pages
File Size : 50,5 Mb
Release : 2020-04-09
Category : Science
ISBN : 9783030389413

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Progress and Visions in Quantum Theory in View of Gravity by Felix Finster,Domenico Giulini,Johannes Kleiner,Jürgen Tolksdorf Pdf

This book focuses on a critical discussion of the status and prospects of current approaches in quantum mechanics and quantum field theory, in particular concerning gravity. It contains a carefully selected cross-section of lectures and discussions at the seventh conference “Progress and Visions in Quantum Theory in View of Gravity” which took place in fall 2018 at the Max Planck Institute for Mathematics in the Sciences in Leipzig. In contrast to usual proceeding volumes, instead of reporting on the most recent technical results, contributors were asked to discuss visions and new ideas in foundational physics, in particular concerning foundations of quantum field theory. A special focus has been put on the question of which physical principles of quantum (field) theory can be considered fundamental in view of gravity. The book is mainly addressed to mathematicians and physicists who are interested in fundamental questions of mathematical physics. It allows the reader to obtain a broad and up-to-date overview of a fascinating active research area.

Introduction to Quantum Effects in Gravity

Viatcheslav Mukhanov,Sergei Winitzki
Introduction to Quantum Effects in Gravity Book PDF

Author : Viatcheslav Mukhanov,Sergei Winitzki
Publisher : Cambridge University Press
Page : 298 pages
File Size : 40,5 Mb
Release : 2007-06-14
Category : Mathematics
ISBN : 0521868343

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Introduction to Quantum Effects in Gravity by Viatcheslav Mukhanov,Sergei Winitzki Pdf

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Progress in Group Field Theory and Related Quantum Gravity Formalisms

Steffen Gielen,Sylvain Carrozza,Daniele Oriti
Progress in Group Field Theory and Related Quantum Gravity Formalisms Book PDF

Author : Steffen Gielen,Sylvain Carrozza,Daniele Oriti
Publisher : MDPI
Page : 338 pages
File Size : 40,9 Mb
Release : 2020-07-01
Category : Mathematics
ISBN : 9783039361786

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Progress in Group Field Theory and Related Quantum Gravity Formalisms by Steffen Gielen,Sylvain Carrozza,Daniele Oriti Pdf

Following the fundamental insights from quantum mechanics and general relativity, geometry itself should have a quantum description; the search for a complete understanding of this description is what drives the field of quantum gravity. Group field theory is an ambitious framework in which theories of quantum geometry are formulated, incorporating successful ideas from the fields of matrix models, ten-sor models, spin foam models and loop quantum gravity, as well as from the broader areas of quantum field theory and mathematical physics. This special issue collects recent work in group field theory and these related approaches, as well as other neighbouring fields (e.g., cosmology, quantum information and quantum foundations, statistical physics) to the extent that these are directly relevant to quantum gravity research.

Gravity, Gauge Theories and Quantum Cosmology

J.V. Narlikar,T. Padmanabhan
Gravity Gauge Theories and Quantum Cosmology Book PDF

Author : J.V. Narlikar,T. Padmanabhan
Publisher : Springer Science & Business Media
Page : 477 pages
File Size : 42,6 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789400945081

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Gravity, Gauge Theories and Quantum Cosmology by J.V. Narlikar,T. Padmanabhan Pdf

For several decades since its inception, Einstein's general theory of relativity stood somewhat aloof from the rest of physics. Paradoxically, the attributes which normally boost a physical theory - namely, its perfection as a theoreti cal framework and the extraordinary intellectual achievement underlying i- prevented the general theory from being assimilated in the mainstream of physics. It was as if theoreticians hesitated to tamper with something that is manifestly so beautiful. Happily, two developments in the 1970s have narrowed the gap. In 1974 Stephen Hawking arrived at the remarkable result that black holes radiate after all. And in the second half of the decade, particle physicists discovered that the only scenario for applying their grand unified theories was offered by the very early phase in the history of the Big Bang universe. In both cases, it was necessary to discuss the ideas of quantum field theory in the background of curved spacetime that is basic to general relativity. This is, however, only half the total story. If gravity is to be brought into the general fold of theoretical physics we have to know how to quantize it. To date this has proved a formidable task although most physicists would agree that, as in the case of grand unified theories, quantum gravity will have applications to cosmology, in the very early stages of the Big Bang universe. In fact, the present picture of the Big Bang universe necessarily forces us to think of quantum cosmology.

Introduction to Quantum Field Theory with Applications to Quantum Gravity

Iosif L. Buchbinder,Ilya Shapiro
Introduction to Quantum Field Theory with Applications to Quantum Gravity Book PDF

Author : Iosif L. Buchbinder,Ilya Shapiro
Publisher : Oxford University Press
Page : 464 pages
File Size : 51,9 Mb
Release : 2021-03-01
Category : Science
ISBN : 9780192575319

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Introduction to Quantum Field Theory with Applications to Quantum Gravity by Iosif L. Buchbinder,Ilya Shapiro Pdf

Applications of quantum field theoretical methods to gravitational physics, both in the semiclassical and the full quantum frameworks, require a careful formulation of the fundamental basis of quantum theory, with special attention to such important issues as renormalization, quantum theory of gauge theories, and especially effective action formalism. The first part of this graduate textbook provides both a conceptual and technical introduction to the theory of quantum fields. The presentation is consistent, starting from elements of group theory, classical fields, and moving on to the effective action formalism in general gauge theories. Compared to other existing books, the general formalism of renormalization in described in more detail, and special attention paid to gauge theories. This part can serve as a textbook for a one-semester introductory course in quantum field theory. In the second part, we discuss basic aspects of quantum field theory in curved space, and perturbative quantum gravity. More than half of Part II is written with a full exposition of details, and includes elaborated examples of simplest calculations. All chapters include exercises ranging from very simple ones to those requiring small original investigations. The selection of material of the second part is done using the “must-know” principle. This means we included detailed expositions of relatively simple techniques and calculations, expecting that the interested reader will be able to learn more advanced issues independently after working through the basic material, and completing the exercises.

Quantum Gravity

Domenico J. W. Giulini,Claus Kiefer,Claus Lämmerzahl
Quantum Gravity Book PDF

Author : Domenico J. W. Giulini,Claus Kiefer,Claus Lämmerzahl
Publisher : Springer Science & Business Media
Page : 426 pages
File Size : 54,8 Mb
Release : 2003-09-16
Category : Science
ISBN : 354040810X

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Quantum Gravity by Domenico J. W. Giulini,Claus Kiefer,Claus Lämmerzahl Pdf

The relation between quantum theory and the theory of gravitation remains one of the most outstanding unresolved issues of modern physics. According to general expectation, general relativity as well as quantum (field) theory in a fixed background spacetime cannot be fundamentally correct. Hence there should exist a broader theory comprising both in appropriate limits, i.e., quantum gravity. This book gives readers a comprehensive introduction accessible to interested non-experts to the main issues surrounding the search for quantum gravity. These issues relate to fundamental questions concerning the various formalisms of quantization; specific questions concerning concrete processes, like gravitational collapse or black-hole evaporation; and the all important question concerning the possibility of experimental tests of quantum-gravity effects.

Quantum Field Theory in Curved Spacetime

Leonard Parker,David Toms
Quantum Field Theory in Curved Spacetime Book PDF

Author : Leonard Parker,David Toms
Publisher : Cambridge University Press
Page : 472 pages
File Size : 54,6 Mb
Release : 2009-08-20
Category : Science
ISBN : 9781139480857

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Quantum Field Theory in Curved Spacetime by Leonard Parker,David Toms Pdf

Quantum field theory in curved spacetime has been remarkably fruitful. It can be used to explain how the large-scale structure of the universe and the anisotropies of the cosmic background radiation that we observe today first arose. Similarly, it provides a deep connection between general relativity, thermodynamics, and quantum field theory. This book develops quantum field theory in curved spacetime in a pedagogical style, suitable for graduate students. The authors present detailed, physically motivated, derivations of cosmological and black hole processes in which curved spacetime plays a key role. They explain how such processes in the rapidly expanding early universe leave observable consequences today, and how in the context of evaporating black holes, these processes uncover deep connections between gravitation and elementary particles. The authors also lucidly describe many other aspects of free and interacting quantized fields in curved spacetime.

Quantum Field Theory

Thanu Padmanabhan
Quantum Field Theory Book PDF

Author : Thanu Padmanabhan
Publisher : Springer
Page : 283 pages
File Size : 42,7 Mb
Release : 2016-02-02
Category : Science
ISBN : 9783319281735

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Quantum Field Theory by Thanu Padmanabhan Pdf

This book describes, in clear terms, the Why, What and the How of Quantum Field Theory. The raison d'etre of QFT is explained by starting from the dynamics of a relativistic particle and demonstrating how it leads to the notion of quantum fields. Non-perturbative aspects and the Wilsonian interpretation of field theory are emphasized right from the start. Several interesting topics such as the Schwinger effect, Davies-Unruh effect, Casimir effect and spontaneous symmetry breaking introduce the reader to the elegance and breadth of applicability of field theoretical concepts. Complementing the conceptual aspects, the book also develops all the relevant mathematical techniques in detail, leading e.g., to the computation of anomalous magnetic moment of the electron and the two-loop renormalisation of the self-interacting scalar field. It contains nearly a hundred problems, of varying degrees of difficulty, making it suitable for both self-study and classroom use.

Quantum Field Theory

Michio Kaku
Quantum Field Theory Book PDF

Author : Michio Kaku
Publisher : Unknown
Page : 812 pages
File Size : 52,9 Mb
Release : 1993
Category : Science
ISBN : UOM:39015059099138

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Quantum Field Theory by Michio Kaku Pdf

The rise of quantum electrodynamics (QED) made possible a number of excellent textbooks on quantum field theory in the 1960s. However, the rise of quantum chromodynamics (QCD) and the Standard Model has made it urgent to have a fully modern textbook for the 1990s and beyond. Building on the foundation of QED, Quantum Field Theory: A Modern Introduction presents a clear and comprehensive discussion of the gauge revolution and the theoretical and experimental evidence which makes the Standard Model the leading theory of subatomic phenomena. The book is divided into three parts: Part I, Fields and Renormalization, lays a solid foundation by presenting canonical quantization, Feynman rules and scattering matrices, and renormalization theory. Part II, Gauge Theory and the Standard Model, focuses on the Standard Model and discusses path integrals, gauge theory, spontaneous symmetry breaking, the renormalization group, and BPHZ quantization. Part III, Non-perturbative Methods and Unification, discusses more advanced methods which now form an essential part of field theory, such as critical phenomena, lattice gauge theory, instantons, supersymmetry, quantum gravity, supergravity, and superstrings.

The Structural Foundations of Quantum Gravity

Dean Rickles,Steven French,Juha T. Saatsi
The Structural Foundations of Quantum Gravity Book PDF

Author : Dean Rickles,Steven French,Juha T. Saatsi
Publisher : Clarendon Press
Page : 288 pages
File Size : 50,8 Mb
Release : 2006-11-16
Category : Science
ISBN : 9780191515026

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The Structural Foundations of Quantum Gravity by Dean Rickles,Steven French,Juha T. Saatsi Pdf

Quantum gravity is the name given to a theory that unites general relativity - Einstein's theory of gravitation and spacetime - with quantum field theory, our framework for describing non-gravitational forces. The Structural Foundations of Quantum Gravity brings together philosophers and physicists to discuss a range of conceptual issues that surface in the effort to unite these theories, focusing in particular on the ontological nature of the spacetime that results. Although there has been a great deal written about quantum gravity from the perspective of physicists and mathematicians, very little attention has been paid to the philosophical aspects. This volume closes that gap, with essays written by some of the leading researchers in the field. Individual papers defend or attack a structuralist perspective on the fundamental ontologies of our physical theories, which offers the possibility of shedding new light on a number of foundational problems. It is a book that will be of interest not only to physicists and philosophers of physics but to anyone concerned with foundational issues and curious to explore new directions in our understanding of spacetime and quantum physics.

Introduction to Quantum Effects in Gravity

Viatcheslav Mukhanov,Sergei Winitzki
Introduction to Quantum Effects in Gravity Book PDF

Author : Viatcheslav Mukhanov,Sergei Winitzki
Publisher : Cambridge University Press
Page : 298 pages
File Size : 45,6 Mb
Release : 2007-06-14
Category : Science
ISBN : 9781139788946

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Introduction to Quantum Effects in Gravity by Viatcheslav Mukhanov,Sergei Winitzki Pdf

This book, first published in 2007, is an introductory textbook on quantum field theory in gravitational backgrounds intended for undergraduate and beginning graduate students in the fields of theoretical astrophysics, cosmology, particle physics, and string theory. The book covers the basic (but essential) material of quantization of fields in an expanding universe and quantum fluctuations in inflationary spacetime. It also contains a detailed explanation of the Casimir, Unruh, and Hawking effects, and introduces the method of effective action used for calculating the back-reaction of quantum systems on a classical external gravitational field. The broad scope of the material covered will provide the reader with a thorough perspective of the subject. Every major result is derived from first principles and thoroughly explained. The book is self-contained and assumes only a basic knowledge of general relativity. Exercises with detailed solutions are provided throughout the book.

Quantum Mechanics and Gravity

Mendel Sachs
Quantum Mechanics and Gravity Book PDF

Author : Mendel Sachs
Publisher : Springer Science & Business Media
Page : 200 pages
File Size : 45,6 Mb
Release : 2013-06-29
Category : Science
ISBN : 9783662096406

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Quantum Mechanics and Gravity by Mendel Sachs Pdf

This book describes a paradigm change in modern physics from the philosophy and mathematical expression of the quantum theory to those of general relativity. The approach applies to all domains - from elementary particles to cosmology. The change is from the positivistic views in which atomism, nondeterminism and measurement are fundamental, to a holistic view in realism, wherein matter - electrons, galaxies, - are correlated modes of a single continuum, the universe. A field that unifies electromagnetism, gravity and inertia is demonstrated explicitly, with new predictions, in terms of quaternion and spinor field equations in a curved spacetime. Quantum mechanics emerges as a linear, flatspace approximation for the equations of inertia in general relativity.