Minimally doubled fermions at one loop

Details Minimally doubled fermions at one loop Minimally doubled fermions at one loop

2009-07-16

arxiv.org/abs/0907.2825v2

Physics

High Energy Physics

High Energy Physics - Lattice

11 pages, 1 figure, discussion of renormalization of four-momentum modified, increased numerical precision of one-loop integra

Scientific paper

Minimally doubled fermions have been proposed as a cost-effective realization of chiral symmetry at non-zero lattice spacing. Using lattice perturbation theory at one loop, we study their renormalization properties. Specifically, we investigate the consequences of the breaking of hyper-cubic symmetry, which is a typical feature of this class of fermionic discretizations. Our results for the quark self-energy indicate that the four-momentum undergoes a renormalization which contains a linearly divergent piece. We also compute renormalization factors for quark bilinears, construct the conserved vector and axial-vector currents and verify that at one loop the renormalization factors of the latter are equal to one.

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