**Quantum Field Theory on Noncommutative Spaces**

by Richard J. Szabo

**Publisher**: arXiv 2003**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.

Download or read it online for free here:

**Download link**

(840KB, PDF)

## Similar books

**Lectures on Tensor Categories and Modular Functors**

by

**Bojko Bakalov, Alexander Kirillov**-

**American Mathematical Society**

The book gives an exposition of the relations among the following three topics: monoidal tensor categories (such as a category of representations of a quantum group), 3-dimensional topological quantum field theory, and 2-dimensional modular functors.

(

**5034**views)

**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.

(

**3364**views)

**Introductory Lectures on Quantum Field Theory**

by

**Luis Alvarez-Gaume, Miguel A. Vazquez-Mozo**-

**arXiv**

In these lectures we present a few topics in Quantum Field Theory in detail. Some of them are conceptual and some more practical. They have been selected because they appear frequently in current applications to Particle Physics and String Theory.

(

**4318**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.

(

**577**views)