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.
@article{arxiv.0907.2825,
title = {Minimally doubled fermions at one loop},
author = {Stefano Capitani and Johannes Weber and Hartmut Wittig},
journal= {arXiv preprint arXiv:0907.2825},
year = {2015}
}
Comments
11 pages, 1 figure, discussion of renormalization of four-momentum modified, increased numerical precision of one-loop integrals, results and conclusions unchanged