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arXiv · hep-th/0604217

Gauge Theory and a Dirac Operator on a Noncommutative Space

Yoshinobu Habara
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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.

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Yoshinobu Habara. 2006-10-29. Gauge Theory and a Dirac Operator on a Noncommutative Space. https://doi.org/10.1143/ptp.116.771

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