Abelian chiral gauge theories on the lattice with exact gauge invariance

Details Abelian chiral gauge theories on the lattice with exact gauge invariance Abelian chiral gauge theories on the lattice with exact gauge invariance

1998-11-25

arxiv.org/abs/hep-lat/9811032v2

Nucl.Phys.B549:295-334,1999

Physics

High Energy Physics

High Energy Physics - Lattice

plain tex source, 49 pages, needs amssym.def, added a few references

Scientific paper

10.1016/S0550-3213(99)00115-7

It is shown that U(1) chiral gauge theories with anomaly-free multiplets of Weyl fermions can be put on the lattice without breaking the gauge invariance or violating any other fundamental principle. The Ginsparg-Wilson relation plays a key role in this construction, which is non-perturbative and includes all topological sectors of the theory in finite volume. In particular, the cancellation of the gauge anomaly and the absence of global topological obstructions can be established on the basis of this relation and the lattice symmetries alone.

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