Renormalization of minimally doubled fermions
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Publication:2251051
DOI10.1007/JHEP09(2010)027zbMATH Open1291.81384arXiv1006.2009OpenAlexW2066474806MaRDI QIDQ2251051
Author name not available (Why is that?)
Publication date: 10 July 2014
Published in: (Search for Journal in Brave)
Abstract: We investigate the renormalization properties of minimally doubled fermions, at one loop in perturbation theory. Our study is based on the two particular realizations of Borici-Creutz and Karsten-Wilczek. A common feature of both formulations is the breaking of hyper-cubic symmetry, which requires that the lattice actions are supplemented by suitable counterterms. We show that three counterterms are required in each case and determine their coefficients to one loop in perturbation theory. For both actions we compute the vacuum polarization of the gluon. It is shown that no power divergences appear and that all contributions which arise from the breaking of Lorentz symmetry are cancelled by the counterterms. We also derive the conserved vector and axial-vector currents for Karsten-Wilczek fermions. Like in the case of the previously studied Borici-Creutz action, one obtains simple expressions, involving only nearest-neighbour sites. We suggest methods how to fix the coefficients of the counterterms non-perturbatively and discuss the implications of our findings for practical simulations.
Full work available at URL: https://arxiv.org/abs/1006.2009
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