**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

**Introduction to Algebraic and Constructive Quantum Field Theory**

by

**John C. Baez, Irving E. Segal, Zhengfang Zhou**-

**Princeton University Press**

The book presents a rigorous treatment of the first principles of the algebraic and analytic core of quantum field theory. The authors address readers interested in fundamental mathematical physics and who have the training of a graduate student.

(

**9875**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.

(

**6176**views)

**Notes on Quantum Field Theory**

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.

(

**6484**views)

**Quantum Field Theory, Black Holes and Holography**

by

**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.

(

**6308**views)