Taming lattice artifacts with Pauli--Villars fields

Abstract

As fermions are added to a lattice gauge theory, one is driven to stronger bare coupling in order to maintain the same renormalized coupling. Stronger bare couplings are usually associated with larger gauge fluctuations, leading to larger cutoff effects and more expensive simulations. In theories with many light fermions, sometimes the desired physical region cannot be reached before encountering a phase boundary. We show that these undesired effects can be reduced by adding Pauli--Villars fields. We reach significantly larger renormalized couplings while at the same time damping short-distance fluctuations of the gauge field. This may allow for controlled continuum extrapolations from large lattice spacings.

arXiv comment7 pages, 4 figures

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Cited by in corpus (3)

• Emergent strongly coupled ultraviolet fixed point in four dimensions with 8 Kähler-Dirac fermions
• Gradient flow step-scaling function for SU(3) with $N_f=8$ fundamental flavors
• Gradient flow step-scaling function for SU(3) with $N_f$ = 6 or 4 fundamental flavors