Gauge Fields with Quasinilpotent Gauge Group

Details Gauge Fields with Quasinilpotent Gauge Group Gauge Fields with Quasinilpotent Gauge Group

1995-09-18

arxiv.org/abs/gr-qc/9509029v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages

Scientific paper

We investigate non-linear generalization of Maxwell theory of electromagnetic field keeping the gauge invariance of Lagrangian. New theory, which is standard Yang-Mills theory, is based on Harmonic Oscillator HO(4,R) gauge group. It's a solvable Lie group with nilpotent normal subgroup of codimension 1. We write down the Yang-Mills equation and point out their pecularities and connection with standard Maxwell theory.

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