English

Gauge Fields with Quasinilpotent Gauge Group

General Relativity and Quantum Cosmology 2007-05-23 v1

Abstract

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.

Keywords

Cite

@article{arxiv.gr-qc/9509029,
  title  = {Gauge Fields with Quasinilpotent Gauge Group},
  author = {Arthur M. Aslanyan},
  journal= {arXiv preprint arXiv:gr-qc/9509029},
  year   = {2007}
}

Comments

4 pages

R2 v1 2026-07-22T12:50:36.505Z