Global Symmetries of Naive and Staggered Fermions in Arbitrary Dimensions

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 [1].

Note:

8 pages, 2 plots in 1 figure; proceeding of LATTICE 2017, Granada (Spain); PACS numbers: 12.38.Gc, 05.50.+q, 02.10.Yn, 11.15.Ha

field theory: any-dimensional
symmetry: global
fermion: staggered
operator: Dirac
group: representation
numerical calculations: Monte Carlo
approximation: strong coupling
symmetry breaking
statistics
spectral

References(0)

Figures(2)

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