Introduction To Quantum Field Theory With Applications To Quantum Gravity

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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.

A Prelude to Quantum Field Theory

John Donoghue,Lorenzo Sorbo
A Prelude to Quantum Field Theory Book PDF

Author : John Donoghue,Lorenzo Sorbo
Publisher : Princeton University Press
Page : 160 pages
File Size : 54,7 Mb
Release : 2022-02-22
Category : Science
ISBN : 9780691223506

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A Prelude to Quantum Field Theory by John Donoghue,Lorenzo Sorbo Pdf

A concise, beginner-friendly introduction to quantum field theory Quantum field theory is a powerful framework that extends quantum mechanics in ways that are essential in many modern applications. While it is the fundamental formalism for the study of many areas of physics, quantum field theory requires a different way of thinking, and many newcomers to the subject struggle with the transition from quantum mechanics. A Prelude to Quantum Field Theory introduces the key concepts of quantum field theory in a brief and accessible manner while never sacrificing mathematical rigor. The result is an easy-to-use textbook that distills the most general properties of the theory without overwhelming beginning students with more advanced applications. Bridges quantum mechanics and quantum field theory, emphasizing analogies and differences Emphasizes a “quantum field theoretical mindset” while maintaining mathematical rigor Obtains quantum fields as the continuum limit of a quantized system of many particles Highlights the correspondence between wave function—fundamental in quantum mechanics—and the formalism of second quantization used in quantum field theory Provides a step-by-step derivation of Feynman rules for the perturbative study of interacting theories Introduces students to renormalization, path integrals techniques, and more Discusses more modern topics like effective field theories Ideal for both undergraduate and graduate students Proven in the classroom

Quantum Field Theory

Gordon Walter Semenoff
Quantum Field Theory Book PDF

Author : Gordon Walter Semenoff
Publisher : Springer Nature
Page : 409 pages
File Size : 42,8 Mb
Release : 2023-12-16
Category : Science
ISBN : 9789819954100

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Quantum Field Theory by Gordon Walter Semenoff Pdf

This textbook is intended to be used in an introductory course in quantum field theory. It assumes the standard undergraduate education of a physics major and it is designed to appeal to a wide array of physics graduate students, from those studying theoretical and experimental high energy physics to those interested in condensed matter, optical, atomic, nuclear and astrophysicists. It includes a thorough development of the field theoretic approach to nonrelativistic many-body physics as a step in developing a broad-based working knowledge of some of the basic aspects of quantum field theory. It presents a logical, step by step systematic development of relativistic field theory and of functional techniques and their applications to perturbation theory with Feynman diagrams, renormalization, and basic computations in quantum electrodynamics.

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 : 40,6 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.

Introduction to Quantum Field Theory

Shau-Jin Chang
Introduction to Quantum Field Theory Book PDF

Author : Shau-Jin Chang
Publisher : World Scientific
Page : 416 pages
File Size : 45,5 Mb
Release : 1990
Category : Science
ISBN : 9971506815

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Introduction to Quantum Field Theory by Shau-Jin Chang Pdf

This book presents in a short volume the basics of quantum field theory and many body physics. The first part introduces the perturbative techniques without sophisticated apparatus and applies them to numerous problems including quantum electrodynamics (renormalization), Fermi and Bose gases, the Brueckner theory of nuclear system, liquid Helium and classical systems with noise. The material is clear, illustrative and the important points are stressed to help the reader get the understanding of what is crucial without overwhelming him with unnecessary detours or comments. The material in the second part ranges from variational principles to path integrals, discusses gauge theory, the renormalization group and classical solutions together with their applications.

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 : 41,6 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.

The Formalisms of Quantum Mechanics

Francois David
The Formalisms of Quantum Mechanics Book PDF

Author : Francois David
Publisher : Springer
Page : 157 pages
File Size : 42,5 Mb
Release : 2014-11-06
Category : Science
ISBN : 9783319105390

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The Formalisms of Quantum Mechanics by Francois David Pdf

These lecture notes present a concise and introductory, yet as far as possible coherent, view of the main formalizations of quantum mechanics and of quantum field theories, their interrelations and their theoretical foundations. The “standard” formulation of quantum mechanics (involving the Hilbert space of pure states, self-adjoint operators as physical observables, and the probabilistic interpretation given by the Born rule) on one hand, and the path integral and functional integral representations of probabilities amplitudes on the other, are the standard tools used in most applications of quantum theory in physics and chemistry. Yet, other mathematical representations of quantum mechanics sometimes allow better comprehension and justification of quantum theory. This text focuses on two of such representations: the algebraic formulation of quantum mechanics and the “quantum logic” approach. Last but not least, some emphasis will also be put on understanding the relation between quantum physics and special relativity through their common roots - causality, locality and reversibility, as well as on the relation between quantum theory, information theory, correlations and measurements, and quantum gravity. Quantum mechanics is probably the most successful physical theory ever proposed and despite huge experimental and technical progresses in over almost a century, it has never been seriously challenged by experiments. In addition, quantum information science ha s become an important and very active field in recent decades, further enriching the many facets of quantum physics. Yet, there is a strong revival of the discussions about the principles of quantum mechanics and its seemingly paradoxical aspects: sometimes the theory is portrayed as the unchallenged and dominant paradigm of modern physical sciences and technologies while sometimes it is considered a still mysterious and poorly understood theory, waiting for a revolution. This volume, addressing graduate students and seasoned researchers alike, aims to contribute to the reconciliation of these two facets of quantum mechanics.

Introductory Quantum Physics and Relativity

Jacob Dunningham,Vlatko Vedral
Introductory Quantum Physics and Relativity Book PDF

Author : Jacob Dunningham,Vlatko Vedral
Publisher : World Scientific
Page : 238 pages
File Size : 52,8 Mb
Release : 2011
Category : Science
ISBN : 9781848165151

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Introductory Quantum Physics and Relativity by Jacob Dunningham,Vlatko Vedral Pdf

"Based on the lecture courses taught by Dunningham and Vedral at the University of Leeds"--P. [4] of cover.

An Introduction To Quantum Field Theory

Michael E. Peskin
An Introduction To Quantum Field Theory Book PDF

Author : Michael E. Peskin
Publisher : CRC Press
Page : 866 pages
File Size : 48,8 Mb
Release : 2018-05-04
Category : Science
ISBN : 9780429972102

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An Introduction To Quantum Field Theory by Michael E. Peskin Pdf

An Introduction to Quantum Field Theory is a textbook intended for the graduate physics course covering relativistic quantum mechanics, quantum electrodynamics, and Feynman diagrams. The authors make these subjects accessible through carefully worked examples illustrating the technical aspects of the subject, and intuitive explanations of what is going on behind the mathematics. After presenting the basics of quantum electrodynamics, the authors discuss the theory of renormalization and its relation to statistical mechanics, and introduce the renormalization group. This discussion sets the stage for a discussion of the physical principles that underlie the fundamental interactions of elementary particle physics and their description by gauge field theories.

Introduction to Quantum Field Theory

Horatiu Nastase
Introduction to Quantum Field Theory Book PDF

Author : Horatiu Nastase
Publisher : Cambridge University Press
Page : 735 pages
File Size : 52,5 Mb
Release : 2019-10-17
Category : Science
ISBN : 9781108493994

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Introduction to Quantum Field Theory by Horatiu Nastase Pdf

A comprehensive, graduate-level textbook introducing quantum field theory, giving equal emphasis to operator and path integral formalisms.

Waves, Particles and Fields

Anthony C. Fischer-Cripps
Waves Particles and Fields Book PDF

Author : Anthony C. Fischer-Cripps
Publisher : CRC Press
Page : 290 pages
File Size : 53,5 Mb
Release : 2019-06-20
Category : Science
ISBN : 9780429534072

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Waves, Particles and Fields by Anthony C. Fischer-Cripps Pdf

This book fills a gap in the middle ground between quantum mechanics of a single electron to the concept of a quantum field. In doing so, the book is divided into two parts; the first provides the necessary background to quantum theory extending from Planck’s formulation of black body radiation to Schrodinger’s equation; and the second part explores Dirac’s relativistic electron to quantum fields, finishing with an description of Feynman diagrams and their meaning. Much more than a popular account, yet not too heavy so as to be inaccessible, this book assumes no prior knowledge of quantum physics or field theory and provides the necessary foundations for readers to then progress to more advanced texts on quantum field theory. It will be of interest to undergraduate students in physics and mathematics, in addition to an interested, general audience. Features: Provides an extensive yet accessible background to the concepts Contains numerous, illustrative diagrams Presents in-depth explanations of difficult subjects

A Modern Introduction to Quantum Field Theory

Michele Maggiore
A Modern Introduction to Quantum Field Theory Book PDF

Author : Michele Maggiore
Publisher : Oxford University Press
Page : 308 pages
File Size : 54,6 Mb
Release : 2005
Category : Science
ISBN : 9780198520733

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A Modern Introduction to Quantum Field Theory by Michele Maggiore Pdf

Quantum field theory has undergone extraordinary developments in the last few decades and permeates many branches of modern research such as particle physics, cosmology, condensed matter, statistical mechanics and critical phenomena. This book introduces the reader to the modern developments in a manner which assumes no previous knowledge of quantum field theory, and makes it readily accessible from the advanced undergraduate level upwards. - ;The importance and the beauty of modern quantum field theory resides in the power and variety of its methods and ideas, which find application in domain.

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 : 41,8 Mb
Release : 2009-08-20
Category : Science
ISBN : 9780521877879

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

Suitable for graduate students, this book develops quantum field theory in curved spacetime in a pedagogical style.

Operators, Geometry and Quanta

Dmitri Fursaev,Dmitri Vassilevich
Operators Geometry and Quanta Book PDF

Author : Dmitri Fursaev,Dmitri Vassilevich
Publisher : Springer Science & Business Media
Page : 294 pages
File Size : 46,9 Mb
Release : 2011-06-25
Category : Science
ISBN : 9789400702059

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Operators, Geometry and Quanta by Dmitri Fursaev,Dmitri Vassilevich Pdf

This book gives a detailed and self-contained introduction into the theory of spectral functions, with an emphasis on their applications to quantum field theory. All methods are illustrated with applications to specific physical problems from the forefront of current research, such as finite-temperature field theory, D-branes, quantum solitons and noncommutativity. In the first part of the book, necessary background information on differential geometry and quantization, including less standard material, is collected. The second part of the book contains a detailed description of main spectral functions and methods of their calculation. In the third part, the theory is applied to several examples (D-branes, quantum solitons, anomalies, noncommutativity). This book addresses advanced graduate students and researchers in mathematical physics with basic knowledge of quantum field theory and differential geometry. The aim is to prepare readers to use spectral functions in their own research, in particular in relation to heat kernels and zeta functions.

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 : 43,7 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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