**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.

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