PoS - Proceedings of Science
Volume 453 - The 40th International Symposium on Lattice Field Theory (LATTICE2023) - Theoretical Developments
Spin-taste structure of minimally doubled fermions
J.H. Weber
Full text: pdf
Pre-published on: December 27, 2023
Published on: November 06, 2024
Abstract
Minimally doubled fermions realize one degenerate pair of Dirac fermions on the lattice.
Similarities to staggered fermions exist, namely, spin and taste degrees of freedom become
intertwined, and a remnant, non-singlet chiral symmetry and ultralocality are maintained.
However, charge conjugation, isotropy and some space-time reflection symmetries are broken
by the cutoff.
For two variants, i.e., Karsten-Wilczek (KW) or Borici-Creutz (BC) fermions, a tasted charge
conjugation symmetry can be identified, and the respective representations of the spin-taste
algebra can be constructed explicitly. In the case of BC fermions, the tasted symmetry
indicates that amendments to the published counterterms are necessary.
The spin-taste representation on the quark level permits construction of local or extended
hadron interpolating operators for any spin-taste combination, albeit with contamination by
parity partners and taste-symmetry violation. The few available numerical results for KW
fermions are in line with expectations.
DOI: https://doi.org/10.22323/1.453.0353
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