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
Scattering Amplitudesby Henriette Elvang, Yu-tin Huang - arXiv
The purpose of this review is to bridge the gap between a standard course in quantum field theory and recent fascinating developments in the studies of on-shell scattering amplitudes. We build up the subject from basic quantum field theory...
(4777 views)
Introduction to Feynman Integralsby Stefan Weinzierl - arXiv
An introduction to Feynman integrals. In the first part of the course the author reviews the basics of the perturbative expansion in quantum field theories. In the second part of the course he will discuss more advanced topics.
(5643 views)
Introduction to Quantum Field Theoryby Matthew Schwartz - Harvard University
The approach is to emphasize that Quantum Field Theory is first and foremost a tool for performing practical calculations. I will emphasize the physical problems which have driven the development of the field, and to show how they can be solved.
(3029 views)
Quantum Field Theory, Black Holes and Holographyby Chethan Krishnan - arXiv
These notes are an expanded version of lectures given in 2010. The aim is to provide a practical introduction to quantum field theory in curved spacetime and related black hole physics, with AdS / CFT as the loose motivation.
(4862 views)