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A gauge theory generalization of the fermion-doubling theorem

High Energy Physics - Theory 2013-10-30 v1 Strongly Correlated Electrons

Abstract

It is possible to characterize certain states of matter by properties of their edge states. This implies a notion of `surface-only models': models which can only be regularized at the edge of a higher-dimensional system. After incorporating the fermion-doubling results of Nielsen and Ninomiya into this framework, we employ this idea to identify new obstructions to symmetry-preserving regulators of quantum field theory. We focus on an example which forbids regulated models of Maxwell theory with manifest electromagnetic duality symmetry.

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Cite

@article{arxiv.1306.3992,
  title  = {A gauge theory generalization of the fermion-doubling theorem},
  author = {S. M. Kravec and John McGreevy},
  journal= {arXiv preprint arXiv:1306.3992},
  year   = {2013}
}

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10 pages