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
Introduction to Nonequilibrium Statistical Mechanics with Quantum Fieldby Takafumi Kita - arXiv
The author presents a concise and self-contained introduction to nonequilibrium statistical mechanics with quantum field theory. Readers are assumed to be familiar with the Matsubara formalism of equilibrium statistical mechanics.
(10446 views)
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.
(6936 views)
The Monte Carlo Method in Quantum Field Theoryby Colin Morningstar - arXiv
This series of six lectures is an introduction to using the Monte Carlo method to carry out nonperturbative studies in quantum field theories. Path integrals in quantum field theory are reviewed, and their evaluation is presented.
(9468 views)
Introductory Lectures on Topological Quantum Field Theoryby 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.
(5507 views)