Shift of symmetries of naive and staggered fermions in QCD-like lattice theories
Mario Kieburg, Tim R Wuerfel
PHYSICAL REVIEW D | AMER PHYSICAL SOC | Published : 2017
We study the global symmetries of naive and staggered lattice Dirac operators in QCD-like theories in any dimension larger than two. In particular we investigate how the chosen number of lattice sites in each direction affects the global symmetries of the Dirac operator. These symmetries are important since they determine not only the infrared spectrum of the Dirac operator but also the symmetry breaking pattern and, thus, the lightest pseudoscalar mesons. We perform the symmetry analysis and discuss the possible zero modes and the degree of degeneracy of the lattice Dirac operators. Moreover we explicitly identify a "reduced" lattice Dirac operator which is the naive Dirac operator apart fr..View full abstract
Awarded by "Products of Random Matrices" of the German Research Council (DFG)
We thank Jacobus Verbaarschot for fruitful discussions and Gernot Akemann for helpful comments on the first draft. M. K. acknowledges support from the grant AK35/2-1 "Products of Random Matrices" of the German Research Council (DFG).