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 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...
by Christopher J. Fewster, Kasia Rejzner - arXiv.org
We give a pedagogical introduction to algebraic quantum field theory (AQFT), with the aim of explaining its key structures and features. Topics covered include: algebraic formulations of quantum theory and the GNS representation theorem, etc.
by Sidney Coleman - arXiv
These notes were taken during Sidney Coleman's lectures on Quantum Field Theory (Physics 253), given at Harvard University in Fall semester of the 1986-1987 academic year. These notes remain the principal source for the Physics 253a materials.
by Mrinal Dasgupta - University of Manchester
Presently, all observational evidence points to the fact that Quantum Field Theory provides a good description of all known elementary particles. The scope of these lectures is to provide an introduction to the formalism of Quantum Field Theory.