**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

**Physics Quest: Understanding Relativistic Quantum Field Theory**

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.

(

**4042**views)

**The Monte Carlo Method in Quantum Field Theory**

by

**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.

(

**4750**views)

**Introduction to Quantum Fields in Curved Spacetime and the Hawking Effect**

by

**Ted Jacobson**-

**arXiv**

These notes introduce the subject of quantum field theory in curved spacetime and some of its applications and the questions they raise. Topics include particle creation in time-dependent metrics, quantum origin of primordial perturbations, etc.

(

**5981**views)

**Introductory Lectures on Topological Quantum Field Theory**

by

**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.

(

**933**views)