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| Format: | Preprint |
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2025
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| Online Access: | https://arxiv.org/abs/2502.16500 |
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| _version_ | 1866918121716056064 |
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| author | Weber, Johannes Heinrich |
| author_facet | Weber, Johannes Heinrich |
| contents | Minimally doubled fermions realize one pair of Dirac fermions on the lattice. Similarities to Kogut-Susskind fermions exist, namely, spin and taste degrees of freedom become intertwined, and a peculiar non-singlet chiral symmetry and ultralocality are maintained. However, charge conjugation, some space-time reflection symmetries and isotropy are broken by the cutoff. We address the most simple variant, Karsten-Wilczek fermions, in its parallel and in its perpendicular version. We derive the correct spin-taste representation from first principles. 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 breaking. We classify all interpolating operator for mesons and diquarks, and give examples for baryons. We also discuss the appropriate discretizations for taste-singlet or taste-isovector mass or chemical potential terms. We explain the counterterms in the spin-taste framework, and derive generic constraints on the parametric form and cutoff effects from the KW determinant and hadronic correlation functions. We derive how and why non-perturbative tuning schemes for the counterterms work, and obtain analytic, assumption-free, non-perturbative predictions for taste-symmetry breaking and other hadronic properties from first principles. In particular, we identify the origin and nature of two different types of taste-symmetry breaking cutoff effects. The few available numerical results for KW fermions validate these predictions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_16500 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Spin-taste representation of minimally doubled fermions from first principles: Karsten-Wilczek fermions Weber, Johannes Heinrich High Energy Physics - Lattice Minimally doubled fermions realize one pair of Dirac fermions on the lattice. Similarities to Kogut-Susskind fermions exist, namely, spin and taste degrees of freedom become intertwined, and a peculiar non-singlet chiral symmetry and ultralocality are maintained. However, charge conjugation, some space-time reflection symmetries and isotropy are broken by the cutoff. We address the most simple variant, Karsten-Wilczek fermions, in its parallel and in its perpendicular version. We derive the correct spin-taste representation from first principles. 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 breaking. We classify all interpolating operator for mesons and diquarks, and give examples for baryons. We also discuss the appropriate discretizations for taste-singlet or taste-isovector mass or chemical potential terms. We explain the counterterms in the spin-taste framework, and derive generic constraints on the parametric form and cutoff effects from the KW determinant and hadronic correlation functions. We derive how and why non-perturbative tuning schemes for the counterterms work, and obtain analytic, assumption-free, non-perturbative predictions for taste-symmetry breaking and other hadronic properties from first principles. In particular, we identify the origin and nature of two different types of taste-symmetry breaking cutoff effects. The few available numerical results for KW fermions validate these predictions. |
| title | Spin-taste representation of minimally doubled fermions from first principles: Karsten-Wilczek fermions |
| topic | High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2502.16500 |