Algebraic Quantum Field Theory
by Hans Halvorson, Michael Mueger
Publisher: arXiv 2006
Number of pages: 202
Description:
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.
Download or read it online for free here:
Download link
(1.6MB, PDF)
Similar books
Nonequilibrium Quantum Fields: From Cold Atoms to Cosmologyby J. Berges - arXiv
Lecture notes. From the table of Contents: Introduction; Nonequilibrium quantum field theory; Thermalization; Classical aspects of nonequilibrium quantum fields; Nonequilibrium instabilities; Nonthermal fixed points and turbulence.
(3409 views)
Scattering Amplitudesby Henriette Elvang, Yu-tin Huang - arXiv
The purpose of this review is to bridge the gap between a standard course in quantum field theory and recent fascinating developments in the studies of on-shell scattering amplitudes. We build up the subject from basic quantum field theory...
(5576 views)
Quantum Field Theory on Noncommutative Spacesby 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.
(8994 views)
Introduction to Feynman Integralsby Stefan Weinzierl - arXiv
An introduction to Feynman integrals. In the first part of the course the author reviews the basics of the perturbative expansion in quantum field theories. In the second part of the course he will discuss more advanced topics.
(6523 views)