# Perturbative Improvement of the Schrodinger Functional for Lattice Strong Dynamics

Source: [Perturbative Improvement of the Schrodinger Functional for Lattice Strong Dynamics](<https://www.sota2.com/research/paper/68fa30211e209131ce8725e4>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-27T03:31:03.667Z

Authors: T. Karavirta, K. Rummukainen, K. Tuominen

Published: 2012-01-09T19:34:19.000Z

## Abstract

Lattice simulations on SU(2) and SU(3) gauge theories with matter fields in the fundamental, adjoint and two index symmetric representations are needed to determine if these theories are near or within the conformal window as required for their applications in beyond standard model phenomenology. Simulations with Wilson fermion action are subject to artifacts linear in the lattice spacing $a$, and must be improved. We provide the necessary coefficients for perturbative improvement of the boundary terms when using Schrodinger functional boundary conditions and furthermore show that correctly implemented O(a) improved actions are necessary for reliable results.

## Recorded benchmark results

A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage.

## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1201.1883>)

[PDF](<https://arxiv.org/pdf/1201.1883.pdf>)