Worldline Formalism and Noncommutative Theories
High Energy Physics - Theory
2015-10-07 v1 Mathematical Physics
math.MP
Abstract
The objective of this Ph.D. thesis is the implementation of the Worldline Formalism in the frame of Noncommutative Quantum Field Theories. The result is a master formula for the 1-loop effective action that is applied to a number of scalar models -- among them the Grosse-Wulkenhaar model. As a byproduct we find an expression for the small propertime expansion of general nonlocal operators' Heat Kernel. As an introduction, basic notions of spectral functions, Quantum Field Theories --path integrals and renormalization by means of spectral functions-- and the Worldline Formalism for commutative theories are given.
Keywords
Cite
@article{arxiv.1510.01387,
title = {Worldline Formalism and Noncommutative Theories},
author = {Sebastián A. Franchino-Viñas},
journal= {arXiv preprint arXiv:1510.01387},
year = {2015}
}
Comments
Ph.D. thesis, in spanish, 166 pages, 8 figures. Advisor: P.A.G. Pisani. Co-advisor: H.Falomir. En espa\~nol