Unified prescription for the generation of electroweak and gravitational gauge field Lagrangian on a principal fiber bundle
Autor: | Theo Verwimp |
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Jazyk: | angličtina |
Rok vydání: | 2021 |
Předmět: |
Introduction to gauge theory
Gauge boson High Energy Physics::Lattice High Energy Physics::Phenomenology FOS: Physical sciences Statistical and Nonlinear Physics General Relativity and Quantum Cosmology (gr-qc) BRST quantization General Relativity and Quantum Cosmology Higgs field Theoretical physics High Energy Physics::Theory Supersymmetric gauge theory Quantum mechanics Gauge theory Mathematical Physics Gauge anomaly Mathematics Gauge symmetry |
Popis: | The Glashow-Weinberg-Salam gauge field Lagrangian for electroweak theory and the Townsend-Zardecki action for gravitation are obtained from the same type of Yang-Mills Weil form on a principal fiber bundle over space-time, with symmetry group U(2) and SO(2,3), respectively. The unified geometrical approach given here shows that fiber bundle reduction and symmetry breaking are essential not only in electroweak theory but also in the SO(2,3) gauge theory for gravitation. In fact, the process of symmetry breaking in electroweak theory and the soldering of the anti-de Sitter bundle, essential in the interpretation of SO(2,3) gauge theory as a theory for gravitation, are corresponding geometrical concepts. 12 pages, adapted version of the original publication: references changed, conclusions unchanged |
Databáze: | OpenAIRE |
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