On spacetime rotation invariance, spin-chargeseparation and SU(2) Yang-Mills theory

摘要

Previously, it has been shown that in a spin-charge separated SU(2) Yang_Mills theory, (Euclidean) spacetime rotation invariance can be broken by aninfinitesimal 1-cocycle that appears in the SO(4) boosts. Here we study indetail the structure of this 1-cocycle. In particular, we show that its non-triviality relates to the presence of a (Dirac) magnetic monopole bundle. Wealso compute the finite version of the cocycle.