BRST invariant Lagrangian of spontaneously broken gauge theories in noncommutative geometry release_jrkhw4drrzcw3cp3lh6pbbv63e

by Yoshitaka Okumura

Released as a report .

1996  

Abstract

The quantization of spontaneously broken gauge theories in noncommutative geometry(NCG) has been sought for some time, because quantization is crucial for making the NCG approach a reliable and physically acceptable theory. Lee, Hwang and Ne'eman recently succeeded in realizing the BRST quantization of gauge theories in NCG in the matrix derivative approach proposed by Coquereaux et al. The present author has proposed a characteristic formulation to reconstruct a gauge theory in NCG on the discrete space M_4× Z__N. Since this formulation is a generalization of the differential geometry on the ordinary manifold to that on the discrete manifold, it is more familiar than other approaches. In this paper, we show that within our formulation we can obtain the BRST invariant Lagrangian in the same way as Lee, Hwang and Ne'eman and apply it to the SU(2)×U(1) gauge theory.
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Type  report
Stage   submitted
Date   1996-03-08
Version   v1
Language   en ?
Number  Chubu 9603
arXiv  hep-th/9603045v1
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