Particles And Quantum Fields
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Particles And Quantum Fields
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Author : Hagen Kleinert
language : en
Publisher: World Scientific
Release Date : 2016-05-30
Particles And Quantum Fields written by Hagen Kleinert and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-30 with Science categories.
This is an introductory book on elementary particles and their interactions. It starts out with many-body Schrödinger theory and second quantization and leads, via its generalization, to relativistic fields of various spins and to gravity. The text begins with the best known quantum field theory so far, the quantum electrodynamics of photon and electrons (QED). It continues by developing the theory of strong interactions between the elementary constituents of matter (quarks). This is possible due to the property called asymptotic freedom. On the way one has to tackle the problem of removing various infinities by renormalization. The divergent sums of infinitely many diagrams are performed with the renormalization group or by variational perturbation theory (VPT). The latter is an outcome of the Feynman-Kleinert variational approach to path integrals discussed in two earlier books of the author, one representing a comprehensive treatise on path integrals, the other dealing with critial phenomena. Unlike ordinary perturbation theory, VPT produces uniformly convergent series which are valid from weak to strong couplings, where they describe critical phenomena.The present book develops the theory of effective actions which allow to treat quantum phenomena with classical formalism. For example, it derives the observed anomalous power laws of strongly interacting theories from an extremum of the action. Their fluctuations are not based on Gaussian distributions, as in the perturbative treatment of quantum field theories, or in asymptotically-free theories, but on deviations from the average which are much larger and which obey power-like distributions.Exactly solvable models are discussed and their physical properties are compared with those derived from general methods. In the last chapter we discuss the problem of quantizing the classical theory of gravity.
From Classical To Quantum Fields
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Author : Laurent Baulieu
language : en
Publisher: Oxford University Press
Release Date : 2017-02-10
From Classical To Quantum Fields written by Laurent Baulieu and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-02-10 with Science categories.
Quantum Field Theory has become the universal language of most modern theoretical physics. This introductory textbook shows how this beautiful theory offers the correct mathematical framework to describe and understand the fundamental interactions of elementary particles. The book begins with a brief reminder of basic classical field theories, electrodynamics and general relativity, as well as their symmetry properties, and proceeds with the principles of quantisation following Feynman's path integral approach. Special care is used at every step to illustrate the correct mathematical formulation of the underlying assumptions. Gauge theories and the problems encountered in their quantisation are discussed in detail. The last chapters contain a full description of the Standard Model of particle physics and the attempts to go beyond it, such as grand unified theories and supersymmetry. Written for advanced undergraduate and beginning graduate students in physics and mathematics, the book could also serve as a reference for active researchers in the field.
Particles Fields And Forces
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Author : Wouter Schmitz
language : en
Publisher:
Release Date : 2019
Particles Fields And Forces written by Wouter Schmitz and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with Quantum field theory categories.
How can fundamental particles exist as waves in the vacuum? How can such waves have particle properties such as inertia? What is behind the notion of "virtual" particles? Why and how do particles exert forces on one another? Not least: What are forces anyway? These are some of the central questions that have intriguing answers in Quantum Field Theory and the Standard Model of Particle Physics. Unfortunately, these theories are highly mathematical, so that most people - even many scientists - are not able to fully grasp their meaning. This book unravels these theories in a conceptual manner, using more than 180 figures and extensive explanations and will provide the nonspecialist with great insights that are not to be found in the popular science literature.
Particles Fields Quanta
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Author : Gerhard Ecker
language : en
Publisher: Springer
Release Date : 2019-04-05
Particles Fields Quanta written by Gerhard Ecker and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-04-05 with Science categories.
This book provides an introduction to the current state of our knowledge about the structure of matter. Gerhard Ecker describes the development of modern physics from the beginning of the quantum age to the standard model of particle physics, the fundamental theory of interactions of the microcosm. The focus lies on the most important discoveries and developments, e.g. of quantum field theory, gauge theories and the future of particle physics. The author also emphasizes the interplay between theory and experiment, which helps us to explore the deepest mysteries of nature. "Particles, Fields, Quanta" is written for everyone who enjoys physics. It offers high school graduates and students of physics in the first semesters an encouragement to understand physics more deeply. Teachers and others interested in physics will find useful insights into the world of particle physics. For advanced students, the book can serve as a comprehensive preparation for lectures on particle physics and quantum field theory. A brief outline of the mathematical structures, an index of persons with research focuses and a glossary for quick reference of important terms such as gauge theory, spin and symmetry complete the book. From the foreword by Michael Springer: “The great successes and the many open questions this book describes illustrate how immensely complicated nature is and nevertheless how much we already understand of it.” The author Gerhard Ecker studied theoretical physics with Walter Thirring at the University of Vienna. His research focus has been on theoretical particle physics, in particular during several long-term visits at CERN, the European Organisation for Nuclear Research in Geneva. In 1986 he was promoted to Professor of Theoretical Physics at the University of Vienna. Since 1977 he has given both basic lectures in theoretical physics and advanced courses on different topics in particle physics, e.g., quantum field theory, symmetry groups in particle physics and renormalisation in quantum field theory.
Lectures On Elementary Particles And Quantum Field Theory
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Author : Stanley Deser
language : en
Publisher:
Release Date : 19??
Lectures On Elementary Particles And Quantum Field Theory written by Stanley Deser and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 19?? with categories.
The Physics Of Quantum Fields
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Author : Michael Stone
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
The Physics Of Quantum Fields written by Michael Stone and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
This book is intended to provide a general introduction to the physics of quantized fields and many-body physics. It is based on a two-semester sequence of courses taught at the University of Illinois at Urbana-Champaign at various times between 1985 and 1997. The students taking all or part of the sequence had interests ranging from particle and nuclear theory through quantum optics to condensed matter physics experiment. The book does not cover as much ground as some texts. This is because I have tried to concentrate on the basic conceptual issues that many students find difficult. For a computation-method oriented course an instructor would probably wish to suplement this book with a more comprehensive and specialized text such as Peskin and Schroeder An Introduction to Quantum Field Theory, which is intended for particle theorists, or perhaps the venerable Quantum Theory of Many-Particle Systems by Fetter and Walecka. The most natural distribution of the material if the book is used for a two-semster course is as follows: 1 st Semester: Chapters 1-11. 2nd semester: Chapters 12-18.
Waves Particles And Fields
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Author : Anthony C. Fischer-Cripps
language : en
Publisher: CRC Press
Release Date : 2019-06-20
Waves Particles And Fields written by Anthony C. Fischer-Cripps and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-20 with Science categories.
Choice Outstanding Title, September 2020 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
Foundations Of Quantum Field Theory
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Author : Klaus D Rothe
language : en
Publisher: World Scientific
Release Date : 2020-09-03
Foundations Of Quantum Field Theory written by Klaus D Rothe and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-03 with Science categories.
Based on a two-semester course held at the University of Heidelberg, Germany, this book provides an adequate resource for the lecturer and the student. The contents are primarily aimed at graduate students who wish to learn about the fundamental concepts behind constructing a Relativistic Quantum Theory of particles and fields. So it provides a comprehensive foundation for the extension to Quantum Chromodynamics and Weak Interactions, that are not included in this book.
Quantum Field Theory
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Author : Kazuhiko Nishijima
language : en
Publisher: Springer Nature
Release Date : 2022-11-12
Quantum Field Theory written by Kazuhiko Nishijima and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11-12 with Science categories.
This book is a translation of the 8th edition of Prof. Kazuhiko Nishijima’s classical textbook on quantum field theory. It is based on the lectures the Author gave to students and researchers with diverse interests over several years in Japan. The book includes both the historical development of QFT and its practical use in theoretical and experimental particle physics, presented in a pedagogical and transparent way and, in several parts, in a unique and original manner. The Author, Academician Nishijima, is the inventor (independently from Murray Gell-Mann) of the third (besides the electric charge and isospin) quantum number in particle physics: strangeness. He is also most known for his works on several other theories describing particles such as electron and muon neutrinos, and his work on the so-called Gell-Mann–Nishijima formula. The present English translation from its 8th Japanese edition has been initiated and taken care of by the editors Prof. M. Chaichian and Dr. A. Tureanu from the University of Helsinki, who were close collaborators of Prof. Nishijima. Dr. Yuki Sato, a researcher in particle physics at the University of Nagoya, most kindly accepted to undertake the heavy task of translation. The translation of the book can be regarded as a tribute to Prof. Nishijima's memory, for his fundamental contributions to particle physics and quantum field theory. The book presents with utmost clarity and originality the most important topics and applications of QFT which by now constitute the established core of the theory. It is intended for a wide circle of graduate and post-graduate students, as well as researchers in theoretical and particle physics. In addition, the book can be a useful source as a basic material or supplementary literature for lecturers giving a course on quantum field theory.
Symmetries Particles And Fields
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Author : Ben Allanach
language : en
Publisher:
Release Date : 2021-08-05
Symmetries Particles And Fields written by Ben Allanach and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-08-05 with categories.
A coursebook for a Master's level course at the University of Cambridge to prepare students for a Ph.D. in theoretical particle physics. Lie groups and Lie algebras are important in the construction of quantum field theories that describe interactions between known particles. One particle states are described in terms of irreducible representations of the Poincare group, a Lie group. Quantum fields may be acted on by operators of the Poincare group. Gauge theories, which describe many of the interactions in the Standard Model of particle physics, also rely on Lie groups. We assume knowledge of quantum mechanics, linear algebras, and vector spaces at the undergraduate level. We do not require knowledge of quantum field theory, although the book was designed with the assumption that some basic quantum field theory is studied simultaneously (in particular, the construction of Lagrangian densities in terms of fields); then, a few applications will make more sense. After some basic properties and preliminaries, we introduce matrix Lie groups, which rely on continuous parameters. Differentially, these act as a Lie algebra. The exponential map connects the Lie algebra to the Lie group. We then introduce representations in terms of square matrices, describing how to construct various new representations in terms of combinations of others. The group of rotations in three-dimensional space SO(3) is examined, along with SU(2) and the connection to angular momentum states in quantum theory. Representations of each are covered. The relativistic symmetries (the Lorentz group and the Poincare group in four dimensions) are studied from the point of view of their group elements and Lie algebras. Analysis of compact simple Lie algebras and their finite representations comes from mapping them to a geometrical picture involving roots and weights via the Cartan matrix. An overview of the results of the Cartan classification of simple Lie algebras is included. An application in terms of representations of a global SU(3)F flavour symmetry explains some features of the spectrum of hadronic particles. Further properties of the spectrum lead one to introduce an additional local SU(3)c colour symmetry leading to a particular gauge theory called quantum chromodynamics. We cover abelian and non-abelian gauge theories before returning to irreducible induced representations of the Poincare group, which are used to describe one-particle states.