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arXiv · 0907.2825

Minimally doubled fermions at one loop

Stefano Capitani·Johannes Weber·Hartmut Wittig
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Abstract

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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Stefano Capitani, Johannes Weber, Hartmut Wittig. 2009-08-19. Minimally doubled fermions at one loop. https://doi.org/10.1016/j.physletb.2009.09.050

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