On Lorentz Invariance, Spin-Charge Separation And SU(2) Yang-Mills Theory
arXiv:0902.2289 · doi:10.1088/1751-8113/42/32/322001
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.
4 pages