Light hadron masses with a tadpole-improved next-nearest-neighbour lattice fermion action

Abstract

Calculations of hadron masses are done in quenched approximation using gauge field and fermion actions which are both corrected for discretization errors to O(a 2 ) at the classical level and which contain tadpole improvement factors. The fermion action has both nearest-neighbour and next-nearestneighbour couplings in the kinetic and Wilson terms. Simulations done at lattice spacings of 0.27 and 0.4fm yield hadron masses which are already quite close to experimental values. The results are compared to Wilson action calculations done at comparable lattice spacings.

Discretisation Errors in Landau Gauge on the Lattice

“…O(g 2 a 2 ) corrections to this action are estimated to be of the order of two to three percent [7]. Note that our β = 6/g 2 differs from that used in [7][8][9]. Multiplication of our β in eqn (4.1) by a factor of 5/3 reproduces their definition.…”

Exploring the π + -π + Interaction in Lattice QCD

“…The number of gauge configurations was N U = 208 separated by at least 1024 update steps. The hadron spectrum of this action has been studied in [33], and also in [34], on coarse lattices. Quite good agreement with the experimental masses was observed in both cases.…”

“…Quite good agreement with the experimental masses was observed in both cases. In the conventions of [33] the gauge field coupling parameter was β = 6.2. This corresponds to a lattice constant of a ≃ 0.4 fm or a −1 ≃ 0.5 GeV (49)…”

Two-body spectra of pseudoscalar mesons with an O(a2)-improved lattice action using Wilson fermions

“…with the hopping parameter κ. Both actions are corrected for discretization errors to O(a 2 ) at the classical level and contain the tadpole factor u 0 [2,3]. Starting from a π + -like field where the quarks carry the flavors u and d…”