Z-string global gauge anomaly and Lorentz non-invariance

Details Z-string global gauge anomaly and Lorentz non-invariance Z-string global gauge anomaly and Lorentz non-invariance

1998-05-15

arxiv.org/abs/hep-th/9805095v5

Nucl.Phys. B535 (1998) 233-241

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, LaTeX

Scientific paper

10.1016/S0550-3213(98)00637-3

Certain (3+1)-dimensional chiral non-Abelian gauge theories have been shown to exhibit a new type of global gauge anomaly, which in the Hamiltonian formulation is due to the fermion zero-modes of a Z-string-like configuration of the gauge potential and the corresponding spectral flow. Here, we clarify the relation between this Z-string global gauge anomaly and other anomalies in both 3+1 and 2+1 dimensions. We then point out a possible trade-off between the (3+1)-dimensional Z-string global gauge anomaly and the violation of CPT and Lorentz invariance.

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