Gauge Theories Coupled to Fermions in Generation

Gauge theories coupled to fermions in generation are reformulated in a modified version of extended differential geometry with the symbol \(\chi\). After discussing several toy models, we will reformulate in our framework the standard model based on Connes' real structure. It is shown that for...

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Bibliographic Details
Published in:arXiv.org 1998-03
Main Authors: Kase, Hiromi, Morita, Katsusada, Okumura, Yoshitaka
Format: Article
Language:English
Subjects:
Differential geometry
Fermions
Yang-Mills theory
Online Access:Get full text
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Summary:Gauge theories coupled to fermions in generation are reformulated in a modified version of extended differential geometry with the symbol \(\chi\). After discussing several toy models, we will reformulate in our framework the standard model based on Connes' real structure. It is shown that for the most general bosonic lagrangin which is required to also reconstruct N=2 super Yang-Mills theory Higgs mechanism operates only for more than one generation as first pointed out by Connes and Lott.
ISSN:2331-8422
DOI:10.48550/arxiv.9803240