Lattice fermions on anisotropic lattices

by Dr Johannes Heinrich Weber (Technische Universität Darmstadt)

Monday 29 Jun 2026, 14:30 → 16:30 Europe/Rome

U2-04 (Building U2 - Quantum)

Doubled lattice fermions, e.g. minimally doubled fermions or staggered fermions, may play a key role in understanding QCD thermodynamics and in-medium spectroscopy due to their small cutoff effects, good chiral properties, and strict locality. Yet this computational expediency comes at the high cost of distorting the spectrum and the symmetries of QCD. We aim to use such fermions in anisotropic setups for hot and dense QCD, where isotropic staggered fermions are the well-established workhorse providing nonperturbative, first-principles results widely used in heavy-ion phenomenology. In general, anisotropic lattices are a fairly well-established part of the lattice QCD toolbox, e.g. with undoubled Wilson fermions for vacuum or in-medium hadron spectroscopy. Yet anisotropic doubled lattice fermions are still poorly understood.

On the one hand, anisotropic gauge backgrounds permit access to finite-temperature QCD correlators with high resolution in Euclidean time, which are of central importance for tackling inverse problems such as spectral reconstruction. On the other hand, minimally doubled fermions, which are inherently anisotropic, may prove valuable for studying dense QCD by avoiding problems related to rooting the complex light-quark determinant. Thus, anisotropic lattice QCD with doubled fermions may be a device for much-needed progress in multiple areas. I give an overview of the state of the art toward dynamical anisotropic lattice QCD with doubled fermions, stressing both common aspects and distinctive features of minimally doubled and staggered fermions, and close with an outlook toward progress and applications in the near future.