On Lorentz Invariance, Spin-Charge Separation And SU(2) Yang-Mills Theory
Antti J. Niemi, Sergey Slizovskiy
TL;DR
This paper investigates how Lorentz invariance can be broken in spin-charge separated SU(2) Yang-Mills theory, linking the phenomenon to magnetic monopole bundles and providing a detailed analysis of the underlying one-cocycle structure.
Contribution
It offers a detailed study of the one-cocycle responsible for Lorentz invariance breaking and connects its non-triviality to magnetic monopole bundles in SU(2) Yang-Mills theory.
Findings
Lorentz invariance can be broken by a one-cocycle in the theory.
The non-triviality of the cocycle is related to magnetic monopole bundles.
A finite version of the cocycle is explicitly constructed.
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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