Home > Publications database > Intra-taste eigenvalue splittings of staggered, Karsten-Wilczek and Borici-Creutz fermions in 2D |
Contribution to a conference proceedings/Contribution to a book | FZJ-2023-05492 |
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2022
Sissa Medialab Trieste, Italy
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Please use a persistent id in citations: doi:10.22323/1.430.0291 doi:10.34734/FZJ-2023-05492
Abstract: Staggered, Karsten-Wilczek (KW) and Borici-Creutz (BC) fermions all retain a remnant chiral symmetry. The price to be payed is that they are doubled, and the resulting taste symmetry is broken by cut-off effects. We measure the size of the taste symmetry violation by determining the low-lying eigenvalues of these fermion operators in the two-dimensional Schwinger model which admits, like QCD, a global topological charge q∈ℤ of a given gauge configuration. We find that it matters whether the pertinent eigenmode is a would-be zero mode or a non-topological mode. The intra-taste splittings of these fermion formulations are all found to diminish with increasing β. Our goal is to verify standard Symanzik scaling for these taste-breaking effects.
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