New extended interpolating fields built from three-dimensional fermions

TL;DR

This paper introduces new extended interpolating operators constructed from three-dimensional fermions in lattice QCD, improving overlap with target states and enhancing short-distance behavior, with promising numerical results.

Contribution

The authors develop and analyze a novel class of extended interpolating operators using quenched 3D fermions, offering better control and properties for lattice QCD simulations.

Findings

Improved short-distance behavior of two-point functions.

Enhanced overlap with physical states compared to point and Jacobi smeared sources.

Good renormalization properties and controllability in the continuum limit.

Abstract

New extended interpolating operators made of quenched three dimensional fermions are introduced in the context of lattice QCD. The mass of the 3D fermions can be tuned in a controlled way to find a better overlap of the extended operators with the states of interest. The extended operators have good renormalization properties and are easy to control when taking the continuum limit. Moreover the short distance behaviour of the two point functions built from these operators is greatly improved. A numerical comparison with point sources and Jacobi smeared sources on dynamical 2+1 flavour configurations is presented.