BRST-invariant Lagrangian of spontaneously broken gauge theories in a noncommutative geometry

Journal Article · Sun Sep 01 04:00:00 EDT 1996 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.54.4114· OSTI ID:383437

Okumura, Y ^[1]

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1. Department of Natural Science, Chubu University, Kasugai, 487 (Japan)

The quantization of spontaneously broken gauge theories in a 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{close_quote}eman recently succeeded in realizing the BRST quantization of gauge theories in a NCG in the matrix derivative approach proposed by Coquereaux and co-workers. The present author has proposed a characteristic formulation to reconstruct a gauge theory in a NCG on the discrete space {ital M}{sub 4}{times}{ital Z}{sub {sub {ital 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{close_quote}eman and apply it to the SU(2){times}U(1) gauge theory. {copyright} {ital 1996 The American Physical Society.}

• OSTI ID: 383437
• Journal Information: Physical Review, D, Journal Name: Physical Review, D Journal Issue: 6 Vol. 54; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
GAUGE INVARIANCE
GEOMETRY
HIGGS BOSONS
LAGRANGIAN FUNCTION
QUANTIZATION
STANDARD MODEL
SYMMETRY BREAKING