New actions for minimally doubled fermions and their counterterms

Abstract

Minimally doubled fermions provide a cheap and convenient way of simulating quarks which preserve chiral symmetry. It has been established that two actions of this kind (known as Boriçi-Creutz and Karsten-Wilczek) require the tuning of three counterterms in order to be properly renormalized. Here we construct some more general minimally doubled actions and investigate the properties of their counterterms.

Suppression of excited-state effects in lattice determination of nucleon electromagnetic form factors

“…One could therefore argue that the reduction in (hard to control) systematic error is paid for by a corresponding increase in (expensive to reduce) statistical error. • To have a further handle on the precise behaviour of the excited-state contributions, we have also considered two-state fits [4,7], i.e. we have explicitly fit G eff X (Q 2 ,t,t s ) to leading excitedstate contributions of the form (2.1) with ∆ = m π , ∆ = 2m π , both as a function of t, t s − t at each t s separately, and as a function of t s , t at all t s simultaneously.…”