GENERALIZED GAUGE THEORIES AND THE WEINBERG–SALAM MODEL WITH DIRAC–KÄHLER FERMIONS

DOI10.1142/S0217751X01004438zbMath0989.81128arXivhep-th/0010254OpenAlexW2112812477MaRDI QIDQ2762020

Hiroshi Umetsu, Takuya Tsukioka, Noboru Kawamoto

Publication date: 6 August 2002

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0010254

zbMATH Keywords

quantum gravitynon-commutative geometryquantizationstandard modelWeinberg-Salam model\(N=2\) supersymmetryunified field theoryChern-Simons type actionsDirac-Kähler fermion formulationtopological Yang-Mills actions

Mathematics Subject Classification ID

Unified quantum theories (81V22) Noncommutative topology (46L85) Noncommutative differential geometry (46L87) Model quantum field theories (81T10) Supersymmetric field theories in quantum mechanics (81T60) Yang-Mills and other gauge theories in quantum field theory (81T13) Quantization in field theory; cohomological methods (81T70) Quantization of the gravitational field (83C45) Noncommutative geometry methods in quantum field theory (81T75) Noncommutative geometry (à la Connes) (58B34)

Related Items (2)

New representation of Dirac-Yang-Mills equations ⋮ DIRAC–KÄHLER FERMION FROM CLIFFORD PRODUCT WITH NONCOMMUTATIVE DIFFERENTIAL FORM ON A LATTICE

Cites Work

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• Topological Yang–Mills theory from non-commutative geometry
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• 4-dimensional BF gravity on the lattice

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