A noncommutative anomaly through Seiberg-Witten map and non-locally regularized BV quantization
High Energy Physics - Theory
2013-02-01 v1 Mathematical Physics
math.MP
Abstract
Anomalies are one essential concept for the renormalization of noncommutative (NC) gauge theories. A NC space can be visualized as a deformation of the usual spacetime with the -product and can be constructed after the quantization of a given space with its symplectic structure. The Seiberg-Witten (SW) map connects NC fields, transformations parameters and gauge potential to their commutative analogs. In this work we used the SW map to calculate the NC version of the anomaly of the BV quantized chiral Schwinger model with nonlocal regularization.
Cite
@article{arxiv.1301.7478,
title = {A noncommutative anomaly through Seiberg-Witten map and non-locally regularized BV quantization},
author = {Everton M. C. Abreu and Vahid Nikoofard},
journal= {arXiv preprint arXiv:1301.7478},
year = {2013}
}
Comments
19 pages, preprint format. arXiv admin note: substantial text overlap with arXiv:hep-th/9711182, arXiv:hep-th/0001064