Logo

Quantum Field Theory on Noncommutative Spaces

Quantum Field Theory on Noncommutative Spaces
by

Publisher: arXiv
Number of pages: 111

Description:
A pedagogical and self-contained introduction to noncommutative quantum field theory is presented, with emphasis on those properties that are intimately tied to string theory and gravity. Topics covered include the Weyl-Wigner correspondence, noncommutative Feynman diagrams, UV/IR mixing, noncommutative Yang-Mills theory on infinite space and on the torus, Morita equivalences of noncommutative gauge theories, twisted reduced models, and an in-depth study of the gauge group of noncommutative Yang-Mills theory.

Home page url

Download or read it online for free here:
Download link
(840KB, PDF)

Similar books

Book cover: Introduction to Quantum Field TheoryIntroduction to Quantum Field Theory
by - 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.
(2866 views)
Book cover: Introductory Lectures on Topological Quantum Field TheoryIntroductory Lectures on Topological Quantum Field Theory
by - 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.
(729 views)
Book cover: Scattering AmplitudesScattering Amplitudes
by - 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...
(4634 views)
Book cover: Algebraic Quantum Field TheoryAlgebraic Quantum Field Theory
by - arXiv
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.
(8991 views)