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 Hans de Vries - Physics-Quest.org
From the table of contents: Relativistic foundations of light and matter Fields; Advanced treatment of the EM field; The relativistic matter wave equations; Foundations of Quantum Electro Dynamics; Non Abelian gauge theories.
by 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.
by 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.
by Luis Alvarez-Gaume, Miguel A. Vazquez-Mozo - arXiv
In these lectures we present a few topics in Quantum Field Theory in detail. Some of them are conceptual and some more practical. They have been selected because they appear frequently in current applications to Particle Physics and String Theory.