A Path Integral Representation of the Map between Commutative and Noncommutative Gauge Fields
High Energy Physics - Theory
2009-10-31 v3
Abstract
The world-volume theory on a D-brane in a constant B-field background can be described by either commutative or noncommutative Yang-Mills theories. These two descriptions correspond to two different gauge fixing of the diffeomorphism on the brane. Comparing the boundary states in the two gauges, we derive a map between commutative and noncommutative gauge fields in a path integral form, when the gauge group is U(1).
Cite
@article{arxiv.hep-th/9910138,
title = {A Path Integral Representation of the Map between Commutative and Noncommutative Gauge Fields},
author = {Kazumi Okuyama},
journal= {arXiv preprint arXiv:hep-th/9910138},
year = {2009}
}
Comments
14 pages, harvmac; transformation of Wilson loop corrected, SW map at the 2nd order corrected