The one-loop analysis of the beta-function in the Schroedinger Functional for Moebius Domain Wall Fermions

TL;DR

This paper performs a one-loop analysis of the beta-function in the Schrödinger functional scheme for Moebius domain wall fermions, confirming the correctness of the construction in reproducing known results.

Contribution

It introduces a boundary operator for Moebius domain wall fermions in the Schrödinger functional scheme and verifies its effectiveness at the one-loop level.

Findings

Successfully reproduces the one-loop beta-function.

Validates the boundary operator construction.

Supports the use of Moebius domain wall fermions in this scheme.

Abstract

We proposed a construction of the Schroedinger functional scheme for the Moebius domain wall fermions (MDWF) by introducing a proper boundary operator to the original MDWF in the last conference. The spectrum of the effective four-dimensional operator was investigated. This year we investigate the fermionic contribution to the beta-function with the Moebius domain wall fermion with the SF boundary term up to the one-loop level and find that our construction properly reproduce the one-loop beta-function.