Fermions on tori in uniform abelian fields

Details Fermions on tori in uniform abelian fields Fermions on tori in uniform abelian fields

2001-12-14

arxiv.org/abs/hep-lat/0112017v2

Phys.Rev.D65:074506,2002

Physics

High Energy Physics

High Energy Physics - Lattice

latex, 38 pages and 2 eps figures. New version with change in author address only. To be published in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.65.074506

We study Fermi fields defined on tori in the presence of gauge backgrounds carrying non-trivial topology. We show that 2k dimensional field space can alternatively be described by fields over a k-dimensional space. This dual description is particularly natural when the background is uniform and abelian. The reduction in number of dimensions carries over to the lattice. The lattice ultraviolet regularization induces an infrared regularization of the lower dimensional representations. We focus on k=1,2.

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