Quantum Field Theory as a Faithful Image of Nature
by Hans Christian Öttinger
Publisher: arXiv 2016
Number of pages: 130
This book can be used as a textbook on quantum field theory for students of physics or as a monograph for philosophers and physicists interested in the epistemological foundations of particle physics. The benefits of an approach resting on philosophical foundations is twofold: the reader is stimulated to critical thinking and the entire story flows very naturally, thus removing all the mysteries from quantum field theory.
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by Ivan G. Avramidi - New Mexico Institute of Mining and Technology
From the table of contents: Classical Field Theory (Models in field theory, Cauchy problem for Jacobi fields, Feynman propagator, Classical perturbation theory ...); Quantization of non-gauge field theories; Quantization of gauge field theories.
by Bojko Bakalov, Alexander Kirillov - American Mathematical Society
The book gives an exposition of the relations among the following three topics: monoidal tensor categories (such as a category of representations of a quantum group), 3-dimensional topological quantum field theory, and 2-dimensional modular functors.
by Richard J. Szabo - arXiv
An introduction to noncommutative quantum field theory is presented, with emphasis on those properties that are intimately tied to string theory and gravity. Topics covered include the Weyl-Wigner correspondence, noncommutative Feynman diagrams, etc.
by Nils Carqueville, Ingo Runkel - arXiv.org
These notes offer a lightening introduction to topological quantum field theory in its functorial axiomatisation assuming no or little prior exposure. We highlight the algebraic formulation emerging from a formal generators-and-relations description.