Towards the Mathematics of Quantum Field Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Towards the Mathematics of Quantum Field Theory write by Frédéric Paugam. This book was released on 2014-02-20. Towards the Mathematics of Quantum Field Theory available in PDF, EPUB and Kindle. This ambitious and original book sets out to introduce to mathematicians (even including graduate students ) the mathematical methods of theoretical and experimental quantum field theory, with an emphasis on coordinate-free presentations of the mathematical objects in use. This in turn promotes the interaction between mathematicians and physicists by supplying a common and flexible language for the good of both communities, though mathematicians are the primary target. This reference work provides a coherent and complete mathematical toolbox for classical and quantum field theory, based on categorical and homotopical methods, representing an original contribution to the literature. The first part of the book introduces the mathematical methods needed to work with the physicists' spaces of fields, including parameterized and functional differential geometry, functorial analysis, and the homotopical geometric theory of non-linear partial differential equations, with applications to general gauge theories. The second part presents a large family of examples of classical field theories, both from experimental and theoretical physics, while the third part provides an introduction to quantum field theory, presents various renormalization methods, and discusses the quantization of factorization algebras.
Quantum Field Theory: A Tourist Guide for Mathematicians
Quantum Field Theory: A Tourist Guide for Mathematicians - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Quantum Field Theory: A Tourist Guide for Mathematicians write by Gerald B. Folland. This book was released on 2021-02-03. Quantum Field Theory: A Tourist Guide for Mathematicians available in PDF, EPUB and Kindle. Quantum field theory has been a great success for physics, but it is difficult for mathematicians to learn because it is mathematically incomplete. Folland, who is a mathematician, has spent considerable time digesting the physical theory and sorting out the mathematical issues in it. Fortunately for mathematicians, Folland is a gifted expositor. The purpose of this book is to present the elements of quantum field theory, with the goal of understanding the behavior of elementary particles rather than building formal mathematical structures, in a form that will be comprehensible to mathematicians. Rigorous definitions and arguments are presented as far as they are available, but the text proceeds on a more informal level when necessary, with due care in identifying the difficulties. The book begins with a review of classical physics and quantum mechanics, then proceeds through the construction of free quantum fields to the perturbation-theoretic development of interacting field theory and renormalization theory, with emphasis on quantum electrodynamics. The final two chapters present the functional integral approach and the elements of gauge field theory, including the Salam–Weinberg model of electromagnetic and weak interactions.
Quantum Field Theory for Mathematicians
Quantum Field Theory for Mathematicians - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Quantum Field Theory for Mathematicians write by Robin Ticciati. This book was released on 1999-06-13. Quantum Field Theory for Mathematicians available in PDF, EPUB and Kindle. This should be a useful reference for anybody with an interest in quantum theory.
Mathematical Foundations Of Quantum Field Theory
Mathematical Foundations Of Quantum Field Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematical Foundations Of Quantum Field Theory write by Albert Schwarz. This book was released on 2020-04-15. Mathematical Foundations Of Quantum Field Theory available in PDF, EPUB and Kindle. 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.
Mathematical Theory of Quantum Fields
Mathematical Theory of Quantum Fields - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematical Theory of Quantum Fields write by Huzihiro Araki. This book was released on 1999-10-22. Mathematical Theory of Quantum Fields available in PDF, EPUB and Kindle. This is an introduction to the mathematical foundations of quantum field theory, using operator algebraic methods and emphasizing the link between the mathematical formulations and related physical concepts. It starts with a general probabilistic description of physics, which encompasses both classical and quantum physics. The basic key physical notions are clarified at this point. It then introduces operator algebraic methods for quantum theory, and goes on to discuss the theory of special relativity, scattering theory, and sector theory in this context.
