Fermions on tori in uniform Abelian fields

L. Giusti, L. Giusti, A. González-Arroyo, A. González-Arroyo, Ch Hoelbling, Ch Hoelbling, H. Neuberger, H. Neuberger, C. Rebbi

Research output: Contribution to journalArticlepeer-review

14 Scopus citations


We study Fermi fields defined on tori in the presence of gauge backgrounds carrying a nontrivial 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.

Original languageEnglish (US)
Article number074506
Pages (from-to)745061-7450616
Number of pages6705556
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Issue number7B
StatePublished - Apr 1 2002

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


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