English

On Lorentz Invariance, Spin-Charge Separation And SU(2) Yang-Mills Theory

High Energy Physics - Theory 2009-11-28 v1

Abstract

Previously it has been shown that in spin-charge separated SU(2) Yang-Mills theory Lorentz invariance can become broken by a one-cocycle that appears in the Lorentz boosts. Here we study in detail the structure of this one-cocycle. In particular we show that its non-triviality relates to the presence of a (Dirac) magnetic monopole bundle. We also explicitely present the finite version of the cocycle.

Keywords

Cite

@article{arxiv.0902.2289,
  title  = {On Lorentz Invariance, Spin-Charge Separation And SU(2) Yang-Mills Theory},
  author = {Antti J. Niemi and Sergey Slizovskiy},
  journal= {arXiv preprint arXiv:0902.2289},
  year   = {2009}
}

Comments

4 pages

R2 v1 2026-06-21T12:11:13.196Z