Advanced Field Theory

Author : Hiroomi Umezawa
Publisher : Springer
Page : 238 pages
File Size : 40,9 Mb
Release : 1995-01-01
Category : Mathematics
ISBN : 9781563964565

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Advanced Field Theory by Hiroomi Umezawa Pdf

This work begins by distinguishing the difference between quantum mechanics and quantum field theory. It then attempts to extend field theory by adding a thermal degree of freedom to phenomena occurring within a vacuum. The resulting quantum field theory is called Thermo Field Dynamics (TFD).

Author : M. Shifman
Publisher : Cambridge University Press
Page : 641 pages
File Size : 46,9 Mb
Release : 2012-01-19
Category : Science
ISBN : 9781139501880

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Advanced Topics in Quantum Field Theory by M. Shifman Pdf

Since the advent of Yang–Mills theories and supersymmetry in the 1970s, quantum field theory - the basis of the modern description of physical phenomena at the fundamental level - has undergone revolutionary developments. This is the first systematic and comprehensive text devoted specifically to modern field theory, bringing readers to the cutting edge of current research. The book emphasizes nonperturbative phenomena and supersymmetry. It includes a thorough discussion of various phases of gauge theories, extended objects and their quantization, and global supersymmetry from a modern perspective. Featuring extensive cross-referencing from traditional topics to recent breakthroughs in the field, it prepares students for independent research. The side boxes summarizing the main results and over 70 exercises make this an indispensable book for graduate students and researchers in theoretical physics.

Author : G. Giachetta
Publisher : World Scientific
Page : 393 pages
File Size : 42,5 Mb
Release : 2009
Category : Science
ISBN : 9789812838964

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Advanced Classical Field Theory by G. Giachetta Pdf

Contemporary quantum field theory is mainly developed as quantization of classical fields. Therefore, classical field theory and its BRST extension is the necessary step towards quantum field theory. This book aims to provide a complete mathematical foundation of Lagrangian classical field theory and its BRST extension for the purpose of quantization. Based on the standard geometric formulation of theory of nonlinear differential operators, Lagrangian field theory is treated in a very general setting. Reducible degenerate Lagrangian theories of even and odd fields on an arbitrary smooth manifold are considered. The second Noether theorems generalized to these theories and formulated in the homology terms provide the strict mathematical formulation of BRST extended classical field theory. The most physically relevant field theories OCo gauge theory on principal bundles, gravitation theory on natural bundles, theory of spinor fields and topological field theory OCo are presented in a complete way. This book is designed for theoreticians and mathematical physicists specializing in field theory. The authors have tried throughout to provide the necessary mathematical background, thus making the exposition self-contained.

Author : James M. Cline
Publisher : Springer Nature
Page : 153 pages
File Size : 50,6 Mb
Release : 2020-10-21
Category : Science
ISBN : 9783030561680

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Advanced Concepts in Quantum Field Theory by James M. Cline Pdf

This book comprises the second half of a quantum field theory (QFT) course for graduate students. It gives a concise introduction to advanced concepts that are important for research in elementary particle theory. Topics include the path integral, loop expansion, Feynman rules, various regularization methods, renormalization, running couplings and the renormalization group, fixed points and asymptotic freedom, effective action, Coleman-Weinberg effective potential, fermions, the axial anomaly, QED, gauge fixing, nonabelian gauge theories, unitarity, optical theorem, Slavnov-Taylor identities, beta function of Yang-Mills theory, a heuristic derivation of asymptotic freedom, instantons in SU(N) gauge theory, theta vacua and the strong CP problem. Exercises are included and are intended for advanced graduate students or postdocs seeking to deepen their understanding of QFT.

Author : Jean-Pierre Serre
Publisher : Springer Science & Business Media
Page : 215 pages
File Size : 55,6 Mb
Release : 2013-12-01
Category : Mathematics
ISBN : 9783642591419

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Galois Cohomology by Jean-Pierre Serre Pdf

This is an updated English translation of Cohomologie Galoisienne, published more than thirty years ago as one of the very first versions of Lecture Notes in Mathematics. It includes a reproduction of an influential paper by R. Steinberg, together with some new material and an expanded bibliography.

Author : Matthew D. Schwartz
Publisher : Cambridge University Press
Page : 869 pages
File Size : 53,9 Mb
Release : 2014
Category : Science
ISBN : 9781107034730

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Quantum Field Theory and the Standard Model by Matthew D. Schwartz Pdf

A modern introduction to quantum field theory for graduates, providing intuitive, physical explanations supported by real-world applications and homework problems.

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 54,6 Mb
Release : 2024-07-01
Category : Electronic
ISBN : 9789814507455

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Introduction to String Field Theory by Anonim Pdf

Author : H. Umezawa
Publisher : American Institute of Physics
Page : 264 pages
File Size : 54,9 Mb
Release : 1993
Category : Science
ISBN : UOM:39015029463356

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Advanced Field Theory by H. Umezawa Pdf

Market: Students and researchers in high energy, nuclear, and condensed matter physics, quantum optics, and cosmology. This book describes how modern quantum field theory is capable of treating not only quantum field particles, but also objects with classical and quantum mechanical degrees of freedom, including thermal degrees of freedom. It thus provides a unified overview of many areas of physics on the basis of the concept of macroscopic quantum vacuum.

Author : Tristan Hübsch
Publisher : Cambridge University Press
Page : 581 pages
File Size : 46,5 Mb
Release : 2015-06-11
Category : Science
ISBN : 9781107097483

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Advanced Concepts in Particle and Field Theory by Tristan Hübsch Pdf

An expansive and conceptually unifying textbook of fundamental and theoretical physics, describing elementary particles and their interactions.

Author : John Donoghue,Lorenzo Sorbo
Publisher : Princeton University Press
Page : 160 pages
File Size : 42,6 Mb
Release : 2022-03-08
Category : Science
ISBN : 9780691223483

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

"A Prelude to Quantum Field Theory offers a short introduction to quantum field theory (QFT), a powerful framework for understanding particle behavior that is an essential tool across many subfields of physics. A subject that is typically taught at the graduate level in most physics departments, quantum field theory is a unification of standard quantum theories and special relativity, which depicts all particles as "excitations" that arise in underlying fields. It extends quantum mechanics, the modern theory of one or few particles, in a way that is useful for the analysis of many-particle systems in the real world. As it requires a different style of thinking from quantum mechanics, which is typically the undergraduate physics student's first encounter with the quantum world, many beginners struggle with the transition to quantum field theory, especially when working with traditional textbooks. Existing books on the subject often tend to be large, sophisticated, and complete; and an overwhelming wealth of information and technical detail makes it difficult for the novice to discern what is most important. This book is a concise, friendly entrée for QFT-beginners, guiding the reader from the style of quantum mechanical thinking to that of QFT, and distilling the key ideas without a welter of unnecessary detail. In contrast with standard texts, which are predominantly particle physics-centric, this book is designed to be "subfield-neutral" - usable by students of any background and interest, and easily adaptable in a course setting according to instructors' preferences. The authors' conviction is that QFT is a core element of physics that should be understood by all PhD physicists-but that developing an appreciation for it does not require digesting a large, encyclopedic volume"--

Author : C. P. Burgess
Publisher : Cambridge University Press
Page : 665 pages
File Size : 49,8 Mb
Release : 2020-12-10
Category : Science
ISBN : 9780521195478

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Introduction to Effective Field Theory by C. P. Burgess Pdf

This advanced, accessible textbook on effective field theories uses worked examples to bring this important topic to a wider audience.

Author : Pierre van Baal
Publisher : CRC Press
Page : 234 pages
File Size : 54,5 Mb
Release : 2016-04-19
Category : Science
ISBN : 9781466594609

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A Course in Field Theory by Pierre van Baal Pdf

Extensively classroom-tested, A Course in Field Theory provides material for an introductory course for advanced undergraduate and graduate students in physics. Based on the author's course that he has been teaching for more than 20 years, the text presents complete and detailed coverage of the core ideas and theories in quantum field theory.

Author : Manfred Opper,David Saad
Publisher : MIT Press
Page : 300 pages
File Size : 41,6 Mb
Release : 2001
Category : Computers
ISBN : 0262150549

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Advanced Mean Field Methods by Manfred Opper,David Saad Pdf

This book covers the theoretical foundations of advanced mean field methods, explores the relation between the different approaches, examines the quality of the approximation obtained, and demonstrates their application to various areas of probabilistic modeling. A major problem in modern probabilistic modeling is the huge computational complexity involved in typical calculations with multivariate probability distributions when the number of random variables is large. Because exact computations are infeasible in such cases and Monte Carlo sampling techniques may reach their limits, there is a need for methods that allow for efficient approximate computations. One of the simplest approximations is based on the mean field method, which has a long history in statistical physics. The method is widely used, particularly in the growing field of graphical models. Researchers from disciplines such as statistical physics, computer science, and mathematical statistics are studying ways to improve this and related methods and are exploring novel application areas. Leading approaches include the variational approach, which goes beyond factorizable distributions to achieve systematic improvements; the TAP (Thouless-Anderson-Palmer) approach, which incorporates correlations by including effective reaction terms in the mean field theory; and the more general methods of graphical models. Bringing together ideas and techniques from these diverse disciplines, this book covers the theoretical foundations of advanced mean field methods, explores the relation between the different approaches, examines the quality of the approximation obtained, and demonstrates their application to various areas of probabilistic modeling.

Author : Tommy Ohlsson
Publisher : Cambridge University Press
Page : 311 pages
File Size : 45,7 Mb
Release : 2011-09-22
Category : Science
ISBN : 9781139504324

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Relativistic Quantum Physics by Tommy Ohlsson Pdf

Quantum physics and special relativity theory were two of the greatest breakthroughs in physics during the twentieth century and contributed to paradigm shifts in physics. This book combines these two discoveries to provide a complete description of the fundamentals of relativistic quantum physics, guiding the reader effortlessly from relativistic quantum mechanics to basic quantum field theory. The book gives a thorough and detailed treatment of the subject, beginning with the classification of particles, the Klein–Gordon equation and the Dirac equation. It then moves on to the canonical quantization procedure of the Klein–Gordon, Dirac and electromagnetic fields. Classical Yang–Mills theory, the LSZ formalism, perturbation theory, elementary processes in QED are introduced, and regularization, renormalization and radiative corrections are explored. With exercises scattered through the text and problems at the end of most chapters, the book is ideal for advanced undergraduate and graduate students in theoretical physics.

Author : Mark Srednicki
Publisher : Cambridge University Press
Page : 664 pages
File Size : 50,8 Mb
Release : 2007-01-25
Category : Science
ISBN : 9781139462761

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Quantum Field Theory by Mark Srednicki Pdf

Quantum field theory is the basic mathematical framework that is used to describe elementary particles. This textbook provides a complete and essential introduction to the subject. Assuming only an undergraduate knowledge of quantum mechanics and special relativity, this book is ideal for graduate students beginning the study of elementary particles. The step-by-step presentation begins with basic concepts illustrated by simple examples, and proceeds through historically important results to thorough treatments of modern topics such as the renormalization group, spinor-helicity methods for quark and gluon scattering, magnetic monopoles, instantons, supersymmetry, and the unification of forces. The book is written in a modular format, with each chapter as self-contained as possible, and with the necessary prerequisite material clearly identified. It is based on a year-long course given by the author and contains extensive problems, with password protected solutions available to lecturers at www.cambridge.org/9780521864497.