Lattice QCD with Suppressed High Momentum Modes of the Dirac Operator

TL;DR

This paper introduces a new lattice fermion formulation in five dimensions that suppresses high momentum modes of the Dirac operator, enabling a continuous interpolation between quenched and dynamical fermions, and connecting to standard lattice QCD.

Contribution

It proposes a novel five-dimensional lattice fermion framework that suppresses high momentum modes and bridges quenched and dynamical fermion formulations.

Findings

Suppression of high momentum modes in the Dirac operator.

Continuous interpolation between quenched and dynamical fermions.

Standard lattice QCD as a limiting case.

Abstract

I define lattice fermions in five Euclidean dimensions and the corresponding effective theory in four dimensions. The main properties of these theories include the suppression of high momentum modes of the lattice Dirac operator and their ability to continuously interpolate between quenched and dynamical fermions. In particular, the standard formulation of lattice QCD can be viewed as a limiting case of the theory.