Global Symmetries of Naive and Staggered Fermions in Arbitrary Dimensions
Fakultät für Physik, Universität Bielefeld, Postfach 100131, 33501 Bielefeld, Germany
* Speaker, Acknowledges support by the grant AK35/2-1 "Products of Random Matrices" of the German research council (DFG), e-mail: email@example.com
** e-mail: firstname.lastname@example.org
Published online: 26 March 2018
It is well-known that staggered fermions do not necessarily satisfy the same global symmetries as the continuum theory. We analyze the mechanism behind this phenomenon for arbitrary dimension and gauge group representation. For this purpose we vary the number of lattice sites between even and odd parity in each single direction. Since the global symmetries are manifest in the lowest eigenvalues of the Dirac operator, the spectral statistics and also the symmetry breaking pattern will be affected. We analyze these effects and compare our predictions with Monte-Carlo simulations of naive Dirac operators in the strong coupling limit. This proceeding is a summary of our work .
© The Authors, published by EDP Sciences, 2018
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (http://creativecommons.org/licenses/by/4.0/).