2000/07/31 by Edward Farhi, E. Farhi, N. Graham +3 · 3 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Quantum and electron transport phenomena #Quantum many-body systems #hep-th
paper · pdf · doi:10.1016/s0550-3213(00)00665-9
published as Nucl.Phys. B595 (2001) 536-550 · 16 pages, uses RevTex, 1 figure; v2: minor corrections
arxiv created 2000/12/06 · openalex publication_date 2001/02/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.