Preliminary results of the hypercubic symmetry restauration of Boriçi - Creutz fermions in the light hadrons spectrum

Boriçi - Creutz fermions, as minimally doubled fermions, are a kind of local lattice fermions which preserve chiral symmetry but break the hyper - cubic symmetry. In our previous works we have shown the effects of this broken symmetry in the light hadrons spectrum, and also have proposed a method of how to restore it partially for BC fermions using the chiral condensate. The methodology proposed seems very effective, with low computational costs and the taken results confirmed the partial restauration of the hyper - cubic symmetry. What we want to test is the effect of this restauration in the light hadrons spectrum. In this work we present some preliminary results of the calculations of the pion mass, in two different lattice directions, using the same conditions in which we have restored the hyper - cubic symmetry. So, we have worked in the quenched approximation, in a background of 100 gauge configurations, β = 6, in a 244 lattice and for the counterterm value of c3 = 0.4. The results show that the pion mass is almost the same in the two different directions, considering the small lattice and statistical errors, a sign that confirm the partial restauration of the hyper - cubic symmetry. The original version of this article supplied to AIP Publishing included Artan Borici as a coauthor of the article. However, his name was added to the manuscript without his knowledge or consent. With the agreement of all the authors, Artan Borici has been removed from this article in the updated and republished version on 6 May 2019.