Gauge Theory on Noncommutative Space and Its Quantization
نویسنده
چکیده
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 problem via our gauge theory on noncommutative space. 1 typeset using PTPTEX.cls 〈Ver.0.9〉 §
منابع مشابه
Gauge Theory and a Dirac Operator on a Noncommutative Space
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...
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