Optimal lattice domain-wall fermions.

Area of Science:

• High Energy Physics
• Quantum Field Theory
• Lattice Gauge Theory

Background:

• Chiral symmetry is a fundamental concept in particle physics, crucial for understanding the properties of fundamental particles.
• Lattice domain-wall fermions are a standard approach in lattice quantum chromodynamics (QCD) simulations.
• The preservation of chiral symmetry in lattice formulations is essential for accurate theoretical predictions.

Purpose of the Study:

• To identify limitations in conventional lattice domain-wall fermion actions regarding chiral symmetry preservation.
• To develop and propose a novel lattice fermion action that optimally preserves chiral symmetry.
• To ensure robust chiral symmetry for simulations with finite N(s) in the fifth dimension.

Main Methods:

• Analysis of conventional lattice domain-wall fermion formulations.
• Development of a new fermion action incorporating modifications for enhanced chiral symmetry.
• Theoretical investigation of symmetry preservation properties for finite N(s).

Main Results:

• Demonstration that existing lattice domain-wall fermion formulations with finite N(s) do not optimally preserve chiral symmetry.
• Introduction of a new lattice fermion action.
• Proof that the proposed action optimally preserves chiral symmetry for any finite N(s).

Conclusions:

• The proposed new action offers a significant improvement over conventional formulations for lattice simulations.
• Optimal chiral symmetry preservation is achievable with finite N(s) using the new action.
• This advancement is expected to enhance the accuracy of lattice QCD calculations.