Minimally doubled fermions at one-loop level

Details Minimally doubled fermions at one-loop level Minimally doubled fermions at one-loop level

2009-10-14

arxiv.org/abs/0910.2597v1

PoS LAT2009:075,2009

Physics

High Energy Physics

High Energy Physics - Lattice

7 pages, no figures; Talk given at the XXVII International Symposium on Lattice Field Theory, July 26-31, 2009, Peking Univers

Scientific paper

Single fermionic degrees of freedom together with standard chiral symmetry at finite lattice spacing, correct continuum limit and local interactions only are precluded by the Nielsen-Ninomiya no-go theorem. The class of minimally doubled fermion actions exhibits exactly two chiral modes. Recent interest in these actions has been sparked by the investigation of fermionic actions defined on "hyperdiamond" lattices. Due to the necessity of breaking hypercubic symmetry explicitly, radiative corrections generate operator mixings with relevant and marginal operators that should vanish in continuum QCD. These cannot be avoided and must be taken into account in particular by a peculiar wave-function renormalisation and additive momentum renormalisation. Renormalisation properties at one-loop level of the self-energy, local bilinears and conserved vector and axial-vector currents are presented for Borici-Creutz and Karsten-Wilczek actions. Distinct differences and similarities between both actions are elucidated.

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