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

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.
(9799 views)

by Sidney Coleman - arXiv
These notes were taken during Sidney Coleman's lectures on Quantum Field Theory (Physics 253), given at Harvard University in Fall semester of the 1986-1987 academic year. These notes remain the principal source for the Physics 253a materials.
(9866 views)

by Ling-Fong Li - National Tsing Hua University
These quantum field theory notes include the following topics: Quantization of Field Theory; Theory of Renormalization; Symmetry; Standard Model of Electroweak Interaction; Theory of Strong Interaction -- Quantum Chromodynamics.
(11939 views)

by Hans Christian Öttinger - arXiv
This book can be used as a textbook on quantum field theory for students of physics or as a monograph for philosophers and physicists interested in the epistemological foundations of particle physics. The reader is stimulated to critical thinking ...
(7486 views)