Introduction To Axiomatic Quantum Field Theory
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Introduction To Axiomatic Quantum Field Theory
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Author : Nikolai Nikolaevich Bogoliubov
language : en
Publisher:
Release Date : 1975
Introduction To Axiomatic Quantum Field Theory written by Nikolai Nikolaevich Bogoliubov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with categories.
Introduction To Axiomatic Quantum Field Theory
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Author : Nikolai Nikolaevich Bogoliubov
language : en
Publisher:
Release Date : 1975
Introduction To Axiomatic Quantum Field Theory written by Nikolai Nikolaevich Bogoliubov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with Quantum field theory categories.
Perturbative Quantum Electrodynamics And Axiomatic Field Theory
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Author : Othmar Steinmann
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Perturbative Quantum Electrodynamics And Axiomatic Field Theory written by Othmar Steinmann 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 2013-04-17 with Computers categories.
This book is concerned with relativistic quantum field theory, especially QED, its most successful example. It is set in the no-man's land between the math ematically rigorous but numerically barren general field theory of the math ematical physicist and the computationally fertile but mathematically some times adventurous field theory of the more phenomenologically inclined, and it aims at demonstrating that closer contact between these two disparate cultures may be of benefit to both. Perturbative QED serves as an exam ple. It is shown how the rules of perturbative quantum field theory, one of the major tools of phenomenology, can be derived from well-defined general assumptions in a mathematically clean way, in particular, not using any reg ularizations. Special emphasis is placed on giving the infrared problem its full due. This leads, among other things, to an unorthodox method based on the local-observables approach to field theory, of describing particles and their reactions. The resulting scattering formalism is immediately applica ble to the infraparticle situation of QED by directly yielding expressions for the observable-inclusive cross sections, dispensing with the notion of an S matrix. Interestingly enough, these expressions differ somewhat from those of the conventional approach. This point will hopefully give rise to interesting and fruitful discussions. I have been working on these sorts of problems on and off for a long time.
General Principles Of Quantum Field Theory
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Author : N.N. Bogolubov
language : en
Publisher: Springer Science & Business Media
Release Date : 1989-12-31
General Principles Of Quantum Field Theory written by N.N. Bogolubov 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 1989-12-31 with Science categories.
The majority of the "memorable" results of relativistic quantum theory were obtained within the framework of the local quantum field approach. The explanation of the basic principles of the local theory and its mathematical structure has left its mark on all modern activity in this area. Originally, the axiomatic approach arose from attempts to give a mathematical meaning to the quantum field theory of strong interactions (of Yukawa type). The fields in such a theory are realized by operators in Hilbert space with a positive Poincare-invariant scalar product. This "classical" part of the axiomatic approach attained its modern form as far back as the sixties. * It has retained its importance even to this day, in spite of the fact that nowadays the main prospects for the description of the electro-weak and strong interactions are in connection with the theory of gauge fields. In fact, from the point of view of the quark model, the theory of strong interactions of Wightman type was obtained by restricting attention to just the "physical" local operators (such as hadronic fields consisting of ''fundamental'' quark fields) acting in a Hilbert space of physical states. In principle, there are enough such "physical" fields for a description of hadronic physics, although this means that one must reject the traditional local Lagrangian formalism. (The connection is restored in the approximation of low-energy "phe nomenological" Lagrangians.
Introduction To Algebraic Quantum Field Theory
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Author : S.S. Horuzhy
language : en
Publisher: Springer Science & Business Media
Release Date : 1990-06-30
Introduction To Algebraic Quantum Field Theory written by S.S. Horuzhy 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 1990-06-30 with Science categories.
'Et moi, ... , si j'avait su comment en revenir, One service mathematics has rendered the human race. It has put common sense back je n'y serais point aile.' Jules Verne where it belongs, on the topmost shel.f next to the dusty canister labelled 'discarded non The series is divergent; therefore we may be sense'. Eric T. Bell able to do something with it. o. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.
Introduction To Axiomatic Quantum Field Theory
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Author : N. N. Bogolubov
language : it
Publisher:
Release Date : 1975
Introduction To Axiomatic Quantum Field Theory written by N. N. Bogolubov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with categories.
Introduction To Axiomatic Quantum Field Theory
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Author : N. N. Bogoliubov
language : en
Publisher:
Release Date : 1980
Introduction To Axiomatic Quantum Field Theory written by N. N. Bogoliubov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with categories.
An Introduction To Non Perturbative Foundations Of Quantum Field Theory
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Author : Franco Strocchi
language : en
Publisher: OUP Oxford
Release Date : 2013-02-14
An Introduction To Non Perturbative Foundations Of Quantum Field Theory written by Franco Strocchi and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-02-14 with Science categories.
Quantum Field Theory (QFT) has proved to be the most useful strategy for the description of elementary particle interactions and as such is regarded as a fundamental part of modern theoretical physics. In most presentations, the emphasis is on the effectiveness of the theory in producing experimentally testable predictions, which at present essentially means Perturbative QFT. However, after more than fifty years of QFT, we still are in the embarrassing situation of not knowing a single non-trivial (even non-realistic) model of QFT in 3+1 dimensions, allowing a non-perturbative control. As a reaction to these consistency problems one may take the position that they are related to our ignorance of the physics of small distances and that QFT is only an effective theory, so that radically new ideas are needed for a consistent quantum theory of relativistic interactions (in 3+1 dimensions). The book starts by discussing the conflict between locality or hyperbolicity and positivity of the energy for relativistic wave equations, which marks the origin of quantum field theory, and the mathematical problems of the perturbative expansion (canonical quantization, interaction picture, non-Fock representation, asymptotic convergence of the series etc.). The general physical principles of positivity of the energy, Poincare' covariance and locality provide a substitute for canonical quantization, qualify the non-perturbative foundation and lead to very relevant results, like the Spin-statistics theorem, TCP symmetry, a substitute for canonical quantization, non-canonical behaviour, the euclidean formulation at the basis of the functional integral approach, the non-perturbative definition of the S-matrix (LSZ, Haag-Ruelle-Buchholz theory). A characteristic feature of gauge field theories is Gauss' law constraint. It is responsible for the conflict between locality of the charged fields and positivity, it yields the superselection of the (unbroken) gauge charges, provides a non-perturbative explanation of the Higgs mechanism in the local gauges, implies the infraparticle structure of the charged particles in QED and the breaking of the Lorentz group in the charged sectors. A non-perturbative proof of the Higgs mechanism is discussed in the Coulomb gauge: the vector bosons corresponding to the broken generators are massive and their two point function dominates the Goldstone spectrum, thus excluding the occurrence of massless Goldstone bosons. The solution of the U(1) problem in QCD, the theta vacuum structure and the inevitable breaking of the chiral symmetry in each theta sector are derived solely from the topology of the gauge group, without relying on the semiclassical instanton approximation.
An Introduction To Quantum Field Theory
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Author : Michael E. Peskin
language : en
Publisher: CRC Press
Release Date : 2018-05-04
An Introduction To Quantum Field Theory written by Michael E. Peskin and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-04 with Science categories.
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.
An Introduction To Symmetry And Supersymmetry In Quantum Field Theory
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Author : Jan T. ?opusza?ski
language : en
Publisher: World Scientific
Release Date : 1991
An Introduction To Symmetry And Supersymmetry In Quantum Field Theory written by Jan T. ?opusza?ski and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Science categories.
This is a set of lecture notes given by the author at the Universities of Gttingen and Wroclaw. The text presents the axiomatic approach to field theory and studies in depth the concepts of symmetry and supersymmetry and their associated generators, currents and charges. It is intended as a one-semester course for graduate students in the field of mathematical physics and high energy physics.