Gauge Theory and a Dirac Operator on a Noncommutative Space
arXiv:hep-th/0604217 · doi:10.1143/PTP.116.771
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.
2 figures, final version