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arXiv · 2405.03037

Gauging staggered fermion shift symmetries

Simon Catterall·Arnab Pradhan
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Abstract

Staggered fermion shift symmetries correspond to translations of the fermion field within the unit cell of a hypercubic lattice. They satisfy an algebra and in four Euclidean dimensions can be related to a discrete subgroup of an $SU(4)$ flavor symmetry which plays a crucial role in showing that staggered fermions lead to a theory of four degenerate Dirac fermions in the continuum limit. They are associated with the appearance of certain $Z_2$ valued global parameters. We propose a strategy to try to partially gauge these translation symmetries by allowing these parameters to vary locally in the lattice. To maintain invariance of the action requires the addition of $Z_2$ valued higher form lattice gauge fields. An analogous procedure can be carried out for reduced staggered fermions where the shifts correspond to a discrete subgroup of an $SO(4)$ flavor symmetry.

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Simon Catterall, Arnab Pradhan. 2024-05-05. Gauging staggered fermion shift symmetries. https://arxiv.org/abs/2405.03037

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