Foundations Of The New Field Theory
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Conceptual Foundations of Quantum Field Theory
Author | : Tian Yu Cao |
Publisher | : Cambridge University Press |
Total Pages | : 424 |
Release | : 2004-03-25 |
Genre | : Science |
ISBN | : 9780521602723 |
Multi-author volume on the history and philosophy of physics.
Mathematical Foundations Of Quantum Field Theory
Author | : Albert Schwarz |
Publisher | : World Scientific |
Total Pages | : 461 |
Release | : 2020-04-15 |
Genre | : Science |
ISBN | : 981327865X |
The book is very different from other books devoted to quantum field theory, both in the style of exposition and in the choice of topics. Written for both mathematicians and physicists, the author explains the theoretical formulation with a mixture of rigorous proofs and heuristic arguments; references are given for those who are looking for more details. The author is also careful to avoid ambiguous definitions and statements that can be found in some physics textbooks.In terms of topics, almost all other books are devoted to relativistic quantum field theory, conversely this book is concentrated on the material that does not depend on the assumptions of Lorentz-invariance and/or locality. It contains also a chapter discussing application of methods of quantum field theory to statistical physics, in particular to the derivation of the diagram techniques that appear in thermo-field dynamics and Keldysh formalism. It is not assumed that the reader is familiar with quantum mechanics; the book contains a short introduction to quantum mechanics for mathematicians and an appendix devoted to some mathematical facts used in the book.
Foundations Of Quantum Field Theory
Author | : Klaus D Rothe |
Publisher | : World Scientific |
Total Pages | : 350 |
Release | : 2020-09-03 |
Genre | : Science |
ISBN | : 9811221944 |
Based on a two-semester course held at the University of Heidelberg, Germany, this book provides a solid basis for postgraduate students wishing to obtain a more profound understanding of the foundations of Quantum Field Theory. The book covers a wide spectrum of topics ranging from traditional operator and modern path integral methods, to different regularization and renormalization methods, asymptotic behavior of Green functions, a particular view on the Renormalization Group, and spontaneous symmetry breaking in effective potentials. Much effort has been made to present the material in a transparent, detailed and structured way, which should help the reader to follow the material.
An Introduction to Non-Perturbative Foundations of Quantum Field Theory
Author | : Franco Strocchi |
Publisher | : Oxford University Press, USA |
Total Pages | : 270 |
Release | : 2013-02-14 |
Genre | : Science |
ISBN | : 0199671575 |
The book discusses fundamental aspects of Quantum Field Theory and of Gauge theories, with attention to mathematical consistency. Basic issues of the standard model of elementary particles (Higgs mechanism and chiral symmetry breaking in quantum Chromodynamics) are treated without relying on the perturbative expansion and on instanton calculus.
Philosophical Foundations of Quantum Field Theory
Author | : Harvey R. Brown |
Publisher | : OUP Oxford |
Total Pages | : 190 |
Release | : 1990 |
Genre | : History |
ISBN | : 9780198242895 |
The aim of this volume of essays is to delineate and examine a range of topics which represent a systematic account of the nature and implications of QFT. The contributors, who include Michael Redhead, James T. Cushing, Paul Teller, and Gordon Fleming, approach QFT from a variety of standpoints. Part I offers two different interpretations of the value of studying the foundations of QFT as an area of separate metaphysical research. Parts II and IIIconsider the metaphysical and methodological implications of such issues as the problem of the status of virtual particles; the technique of renormalization; and the role of covariance principles. Part IV examines the mathematical foundations of QFT.
Microcontinuum Field Theories
Author | : A. Cemal Eringen |
Publisher | : Springer Science & Business Media |
Total Pages | : 336 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 1461205557 |
Microcontinuum field theories extend classical field theories to microscopic spaces and short time scales. This volume is concerned with the kinematics of microcontinua. It begins with a discussion of strain, stress tensors, balance laws, and constitutive equations, and then discusses applications of the fundamental ideas to the theory of elasticity. The ideas developed here are important in modeling the fluid or elastic properties of porous media, polymers, liquid crystals, slurries, and composite materials.
Class Field Theory and L Functions
Author | : Franz Halter-Koch |
Publisher | : CRC Press |
Total Pages | : 585 |
Release | : 2022-03-13 |
Genre | : Mathematics |
ISBN | : 0429014732 |
The book contains the main results of class field theory and Artin L functions, both for number fields and function fields, together with the necessary foundations concerning topological groups, cohomology, and simple algebras. While the first three chapters presuppose only basic algebraic and topological knowledge, the rest of the books assumes knowledge of the basic theory of algebraic numbers and algebraic functions, such as those contained in my previous book, An Invitation to Algebraic Numbers and Algebraic Functions (CRC Press, 2020). The main features of the book are: A detailed study of Pontrjagin’s dualtiy theorem. A thorough presentation of the cohomology of profinite groups. A introduction to simple algebras. An extensive discussion of the various ray class groups, both in the divisor-theoretic and the idelic language. The presentation of local and global class field theory in the algebra-theoretic concept of H. Hasse. The study of holomorphy domains and their relevance for class field theory. Simple classical proofs of the functional equation for L functions both for number fields and function fields. A self-contained presentation of the theorems of representation theory needed for Artin L functions. Application of Artin L functions for arithmetical results.
The Quantum Theory of Fields: Volume 1, Foundations
Author | : Steven Weinberg |
Publisher | : Cambridge University Press |
Total Pages | : 628 |
Release | : 2005-05-09 |
Genre | : Science |
ISBN | : 113964324X |
Available for the first time in paperback, The Quantum Theory of Fields is a self-contained, comprehensive, and up-to-date introduction to quantum field theory from Nobel Laureate Steven Weinberg. Volume I introduces the foundations of quantum field theory. The development is fresh and logical throughout, with each step carefully motivated by what has gone before. After a brief historical outline, the book begins with the principles of relativity and quantum mechanics, and the properties of particles that follow. Quantum field theory emerges from this as a natural consequence. The classic calculations of quantum electrodynamics are presented in a thoroughly modern way, showing the use of path integrals and dimensional regularization. It contains much original material, and is peppered with examples and insights drawn from the author's experience as a leader of elementary particle research. Exercises are included at the end of each chapter.
Foundations of Potential Theory
Author | : Oliver Dimon Kellogg |
Publisher | : Courier Corporation |
Total Pages | : 404 |
Release | : 1953-01-01 |
Genre | : Science |
ISBN | : 9780486601441 |
Introduction to fundamentals of potential functions covers the force of gravity, fields of force, potentials, harmonic functions, electric images and Green's function, sequences of harmonic functions, fundamental existence theorems, the logarithmic potential, and much more. Detailed proofs rigorously worked out. 1929 edition.