Contribution to a conference proceedings/Contribution to a book FZJ-2023-05492

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Intra-taste eigenvalue splittings of staggered, Karsten-Wilczek and Borici-Creutz fermions in 2D

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2022
Sissa Medialab Trieste, Italy

Proceedings of The 39th International Symposium on Lattice Field Theory — PoS(LATTICE2022) - Sissa Medialab Trieste, Italy, 2022. - ISBN - doi:10.22323/1.430.0291
The 39th International Symposium on Lattice Field Theory, Lattice 2021, BonnBonn, Germany, 8 Aug 2022 - 13 Aug 20222022-08-082022-08-13
Sissa Medialab Trieste, Italy 291 pp. () [10.22323/1.430.0291]

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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.


Contributing Institute(s):
  1. Jülich Supercomputing Center (JSC)
Research Program(s):
  1. 5111 - Domain-Specific Simulation & Data Life Cycle Labs (SDLs) and Research Groups (POF4-511) (POF4-511)

Appears in the scientific report 2023
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Creative Commons Attribution-NonCommercial-NoDerivs CC BY-NC-ND 4.0 ; OpenAccess
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 Record created 2023-12-15, last modified 2024-02-26


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