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arXiv · 0902.2289

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

Antti J. Niemi·Sergey Slizovskiy
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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.

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Antti J. Niemi, Sergey Slizovskiy. 2009-02-13. On Lorentz Invariance, Spin-Charge Separation And SU(2) Yang-Mills Theory. https://doi.org/10.1088/1751-8113%2F42%2F32%2F322001

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