Gauge Theory and a Dirac Operator on a Noncommutative Space
نویسنده
چکیده
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.
منابع مشابه
Gauge Theory on Noncommutative Space and Its Quantization
A quantization method of a gauge theory on a canonical noncommutative space is presented utilizing the path integral formalism. As tools to quantize, we construct the Dixmier trace that is the special trace for the infinite-dimensional matrices and the Dirac operator which behaves as a line element of the noncommutative space. We refer to a suggestion of solving the cosmological constant proble...
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