Perturbative Quantum Electrodynamics and Axiomatic Field Theory
Title | Perturbative Quantum Electrodynamics and Axiomatic Field Theory PDF eBook |
Author | Othmar Steinmann |
Publisher | Springer Science & Business Media |
Pages | 353 |
Release | 2013-04-17 |
Genre | Computers |
ISBN | 3662042975 |
This novel approach is presented for the first time in book form. The author demonstrates that fundamental concepts and methods from phenomenological particle physics can be derived rigorously from well-defined general assumptions in a mathematically clean way.
From Classical Field Theory to Perturbative Quantum Field Theory
Title | From Classical Field Theory to Perturbative Quantum Field Theory PDF eBook |
Author | Michael Dütsch |
Publisher | Springer |
Pages | 536 |
Release | 2019-03-18 |
Genre | Mathematics |
ISBN | 3030047385 |
This book develops a novel approach to perturbative quantum field theory: starting with a perturbative formulation of classical field theory, quantization is achieved by means of deformation quantization of the underlying free theory and by applying the principle that as much of the classical structure as possible should be maintained. The resulting formulation of perturbative quantum field theory is a version of the Epstein-Glaser renormalization that is conceptually clear, mathematically rigorous and pragmatically useful for physicists. The connection to traditional formulations of perturbative quantum field theory is also elaborated on, and the formalism is illustrated in a wealth of examples and exercises.
Finite Quantum Electrodynamics
Title | Finite Quantum Electrodynamics PDF eBook |
Author | Gunter Scharf |
Publisher | Courier Corporation |
Pages | 434 |
Release | 2014-04-23 |
Genre | Science |
ISBN | 0486492737 |
The third edition of this classic graduate-level physics text covers relativistic quantum mechanics, field quantization, causal perturbation theory, properties of the S-matrix, and considerations of other electromagnetic couplings. 2014 edition.
From Classical Field Theory to Perturbative Quantum Field Theory
Title | From Classical Field Theory to Perturbative Quantum Field Theory PDF eBook |
Author | Michael Dütsch |
Publisher | Birkhäuser |
Pages | 538 |
Release | 2019-02-26 |
Genre | Mathematics |
ISBN | 9783030047375 |
This book develops a novel approach to perturbative quantum field theory: starting with a perturbative formulation of classical field theory, quantization is achieved by means of deformation quantization of the underlying free theory and by applying the principle that as much of the classical structure as possible should be maintained. The resulting formulation of perturbative quantum field theory is a version of the Epstein-Glaser renormalization that is conceptually clear, mathematically rigorous and pragmatically useful for physicists. The connection to traditional formulations of perturbative quantum field theory is also elaborated on, and the formalism is illustrated in a wealth of examples and exercises.
From Classical Field Theory to Perturbative Quantum Field Theory
Title | From Classical Field Theory to Perturbative Quantum Field Theory PDF eBook |
Author | Michael Dütsch |
Publisher | |
Pages | |
Release | 2019 |
Genre | Differential equations, Partial |
ISBN | 9783030047399 |
This book develops a novel approach to perturbative quantum field theory: starting with a perturbative formulation of classical field theory, quantization is achieved by means of deformation quantization of the underlying free theory and by applying the principle that as much of the classical structure as possible should be maintained. The resulting formulation of perturbative quantum field theory is a version of the Epstein-Glaser renormalization that is conceptually clear, mathematically rigorous and pragmatically useful for physicists. The connection to traditional formulations of perturbative quantum field theory is also elaborated on, and the formalism is illustrated in a wealth of examples and exercises.
Perturbative Algebraic Quantum Field Theory
Title | Perturbative Algebraic Quantum Field Theory PDF eBook |
Author | Kasia Rejzner |
Publisher | Springer |
Pages | 186 |
Release | 2016-03-16 |
Genre | Science |
ISBN | 3319259016 |
Perturbative Algebraic Quantum Field Theory (pAQFT), the subject of this book, is a complete and mathematically rigorous treatment of perturbative quantum field theory (pQFT) that doesn’t require the use of divergent quantities and works on a large class of Lorenzian manifolds. We discuss in detail the examples of scalar fields, gauge theories and the effective quantum gravity. pQFT models describe a wide range of physical phenomena and have remarkable agreement with experimental results. Despite this success, the theory suffers from many conceptual problems. pAQFT is a good candidate to solve many, if not all, of these conceptual problems. Chapters 1-3 provide some background in mathematics and physics. Chapter 4 concerns classical theory of the scalar field, which is subsequently quantized in chapters 5 and 6. Chapter 7 covers gauge theory and chapter 8 discusses effective quantum gravity. The book aims to be accessible to researchers and graduate students, who are interested in the mathematical foundations of pQFT.
Condensed Matter Field Theory
Title | Condensed Matter Field Theory PDF eBook |
Author | Alexander Altland |
Publisher | Cambridge University Press |
Pages | 785 |
Release | 2010-03-11 |
Genre | Science |
ISBN | 0521769752 |
This primer is aimed at elevating graduate students of condensed matter theory to a level where they can engage in independent research. Topics covered include second quantisation, path and functional field integration, mean-field theory and collective phenomena.