Gauge Theory and a Dirac Operator on a Noncommutative Space

Details Gauge Theory and a Dirac Operator on a Noncommutative Space Gauge Theory and a Dirac Operator on a Noncommutative Space

2006-04-28

arxiv.org/abs/hep-th/0604217v2

Prog.Theor.Phys.116:771-781,2007

Physics

High Energy Physics

High Energy Physics - Theory

2 figures, final version

Scientific paper

10.1143/PTP.116.771

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.

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