Gauge Theory and a Dirac Operator on a Noncommutative Space
High Energy Physics - Theory
2008-11-26 v2
Abstract
As a tool to carry out the quantization of gauge theory on a noncommutative space, we present a Dirac operator that behaves as a line element of the canonical noncommutative space. Utilizing this operator, we construct the Dixmier trace, which is the regularized trace for infinite-dimensional matrices. We propose the possibility of solving the cosmological constant problem by applying our gauge theory on the noncommutative space.
Cite
@article{arxiv.hep-th/0604217,
title = {Gauge Theory and a Dirac Operator on a Noncommutative Space},
author = {Yoshinobu Habara},
journal= {arXiv preprint arXiv:hep-th/0604217},
year = {2008}
}
Comments
2 figures, final version