Fractional and Integer Charges from Levinson's Theorem

Details Fractional and Integer Charges from Levinson's Theorem Fractional and Integer Charges from Levinson's Theorem

2000-07-24

arxiv.org/abs/hep-th/0007189v2

Nucl.Phys. B595 (2001) 536-550

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, uses RevTex, 1 figure; v2: minor corrections

Scientific paper

10.1016/S0550-3213(00)00665-9

We compute fractional and integer fermion quantum numbers of static background field configurations using phase shifts and Levinson's theorem. By extending fermionic scattering theory to arbitrary dimensions, we implement dimensional regularization in a 1+1 dimensional gauge theory. We demonstrate that this regularization procedure automatically eliminates the anomaly in the vector current that a naive regulator would produce. We also apply these techniques to bag models in one and three dimensions.

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