Gauge Theory and a Dirac Operator on a Noncommutative Space | Zendy

Yoshinobu Habara | Zendy

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Gauge Theory and a Dirac Operator on a Noncommutative Space

Author(s) -

Yoshinobu Habara

Publication year - 2006

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.116.771

Subject(s) - noncommutative geometry , noncommutative quantum field theory , physics , dirac operator , noncommutative algebraic geometry , mathematical physics , quantization (signal processing) , gauge theory , spectral triple , trace (psycholinguistics) , operator (biology) , quantum mechanics , theoretical physics , mathematics , algorithm , linguistics , philosophy , biochemistry , chemistry , repressor , transcription factor , gene

As a tool to carry out the quantization of gauge theory on a noncommutativespace, we present a Dirac operator that behaves as a line element of thecanonical noncommutative space. Utilizing this operator, we construct theDixmier trace, which is the regularized trace for infinite-dimensionalmatrices. We propose the possibility of solving the cosmological constantproblem by applying our gauge theory on the noncommutative space.Comment: 2 figures, final versio

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