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Advanced Concepts in Quantum Field Theory

Advanced Concepts in Quantum Field Theory
Author: James M. Cline
Publisher: Springer Nature
Total Pages: 153
Release: 2020-10-21
Genre: Science
ISBN: 3030561682

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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.


Advanced Modern Physics: Theoretical Foundations

Advanced Modern Physics: Theoretical Foundations
Author: John Dirk Walecka
Publisher: World Scientific Publishing Company
Total Pages: 498
Release: 2010-03-22
Genre: Science
ISBN: 9813101008

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Our understanding of the physical world was revolutionized in the twentieth century — the era of “modern physics”. This book, aimed at the very best students, extends the coverage of the theoretical groundwork of today's physics presented in the previous volume: Introduction to Modern Physics: Theoretical Foundations (Vol. I). Typically, students have to wade through several courses to see many of these topics. The goal is to give them some idea of where they are going, and how things fit together, as they go along.The present book focuses on the following topics: reformulation of quantum mechanics, angular momentum, scattering theory, lagrangian field theory, symmetries, Feynman rules, quantum electrodynamics, including higher-order contributions, path integrals, and canonical transformations for quantum systems. Many problems are included that enhance and extend the coverage. The book assumes a mastery of the material in Vol. I, and the continued development of mathematical skills, including multivariable calculus and linear algebra. Several appendices provide important details, and any additional required mathematics. The reader should then find the text, together with the appendices and problems, to be self-contained. The aim is to cover the framework of modern theoretical physics in sufficient depth that things “make sense” to students, and, when finished, the reader should have an elementary working knowledge in the principal areas of theoretical physics of the twentieth century.


Advanced Concepts in Particle and Field Theory

Advanced Concepts in Particle and Field Theory
Author: Tristan Hübsch
Publisher: Cambridge University Press
Total Pages: 581
Release: 2015-06-11
Genre: Science
ISBN: 1107097487

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


Advanced Topics in Quantum Field Theory

Advanced Topics in Quantum Field Theory
Author: M. Shifman
Publisher: Cambridge University Press
Total Pages: 641
Release: 2012-01-19
Genre: Science
ISBN: 1139501887

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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.


Theoretical Physics: Advanced Concepts

Theoretical Physics: Advanced Concepts
Author: Aydan Bailey
Publisher:
Total Pages: 233
Release: 2019-06-25
Genre:
ISBN: 9781682855973

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Theoretical physics is the study of simple and complex natural phenomena occurring in the universe using abstraction and mathematical models. There are myriad areas of research in theoretical physics that are actively being pursued in the world today like string theory, chaos theory, astrophysics, cosmology and biophysics. The pillars of modern theoretical physics are relativity theory and quantum mechanics. These help in understanding astronomical, cosmological phenomena as well as phenomena at the particle level. This book traces the progress of this field and highlights some of its key concepts and applications. Researchers and students in this field will find it a valuable text to stay updated with the latest developments across all areas of theoretical physics. It unfolds the innovative aspects of this field, which will be crucial for the progress of this discipline in the future.


A Complete Course on Theoretical Physics

A Complete Course on Theoretical Physics
Author: Albrecht Lindner
Publisher: Springer
Total Pages: 638
Release: 2018-12-30
Genre: Science
ISBN: 3030043606

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Kompakt und verständlich führt dieses Lehrbuch in die Grundlagen der theoretischen Physik ein. Dabei werden die üblichen Themen der Grundvorlesungen Mechanik, Elektrodynamik, Relativitätstheorie, Quantenmechanik , Thermodynamik und Statistik in einem Band zusammengefasst, um den Zusammenhang zwischen den einzelnen Teilgebieten besonders zu betonen. Ein Kapitel mit mathematischen Grundlagen der Physik erleichtert den Einstieg. Zahlreiche Übungsaufgaben dienen der Vertiefung des Stoffes.


Topics in Advanced Quantum Mechanics

Topics in Advanced Quantum Mechanics
Author: Barry R. Holstein
Publisher: Courier Corporation
Total Pages: 448
Release: 2013-08-21
Genre: Science
ISBN: 0486315894

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This graduate-level text explores propagator methods, scattering theory, charged particle interactions and their applications, alternate approximate methods, and the Klein-Gordon and Dirac equations. Problems appear throughout the text. 1992 edition.


Topics In Modern Physics: Theoretical Foundations

Topics In Modern Physics: Theoretical Foundations
Author: John Dirk Walecka
Publisher: World Scientific Publishing Company
Total Pages: 499
Release: 2013-01-21
Genre: Science
ISBN: 9814436917

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While the two previous books entitled Introduction to Modern Physics: Theoretical Foundations and Advanced Modern Physics: Theoretical Foundations exposed the reader to the foundations and frontiers of today's physics, the goal of this third volume is to cover in some detail several topics omitted in the essentially linear progression of the first two.This book is divided into three parts. Part 1 is on quantum mechanics. Analytic solutions to the Schrödinger equation are developed for some basic systems. The analysis is then formalized, concluding with a set of postulates for the theory. Part 2 is on applications of quantum mechanics: approximation methods for bound states, scattering theory, time-dependent perturbation theory, and electromagnetic radiation and quantum electrodynamics. Part 3 covers some selected topics in relativistic quantum field theory: discrete symmetries, the Heisenberg picture, and the Feynman rules for quantum chromodynamics.The three volumes in this series taken together provide a clear, logical, self-contained, and comprehensive base from which the very best students can learn modern physics. When finished, readers should have an elementary working knowledge in the principal areas of theoretical physics of the twentieth century.


Advanced Topics in Quantum Field Theory

Advanced Topics in Quantum Field Theory
Author: Mikhail Shifman
Publisher: Cambridge University Press
Total Pages: 740
Release: 2022-04-28
Genre: Science
ISBN: 1108882080

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Quantum field theory is the basis of our modern description of physical phenomena at the fundamental level. This systematic and comprehensive text 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. This Second Edition is revised to include topics developed in the last decade, including higher-form global symmetries and their applications, anomalies in supersymmetric theories beyond Ferrara–Zumino, and non-Abelian supersymmetric vortex strings. A new final part is added, presenting more than 90 problems with detailed solutions, allowing students to check their understanding of the acquired knowledge and providing extra details to supplement the main text descriptions. This an indispensable book for graduate students and researchers in theoretical physics.


Advanced Concepts in Quantum Mechanics

Advanced Concepts in Quantum Mechanics
Author: Giampiero Esposito
Publisher: Cambridge University Press
Total Pages: 399
Release: 2015
Genre: Science
ISBN: 1107076048

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This book introduces a geometric view of fundamental physics, ideal for advanced undergraduate and graduate students in quantum mechanics and mathematical physics.