Algebraic Quantum Field Theory

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.