Algebraic Quantum Field Theory
by Hans Halvorson, Michael Mueger
Publisher: arXiv 2006
Number of pages: 202
Algebraic quantum field theory provides a general, mathematically precise description of the structure of quantum field theories, and then draws out consequences of this structure by means of various mathematical tools -- the theory of operator algebras, category theory, etc. This paper is a survey of AQFT, with an orientation towards foundational topics. In addition to covering the basics of the theory, we discuss issues related to nonlocality, the particle concept, the field concept, and inequivalent representations.
Home page url
Download or read it online for free here:
by Chethan Krishnan - arXiv
These notes are an expanded version of lectures given in 2010. The aim is to provide a practical introduction to quantum field theory in curved spacetime and related black hole physics, with AdS / CFT as the loose motivation.
by Ling-Fong Li - National Tsing Hua University
These quantum field theory notes include the following topics: Quantization of Field Theory; Theory of Renormalization; Symmetry; Standard Model of Electroweak Interaction; Theory of Strong Interaction -- Quantum Chromodynamics.
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 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.