Implications of gradient flow on the static force

Julian Mayer-Steudte; Nora Brambilla; Viljami Leino; Antonio Vairo

Implications of gradient flow on the static force

Julian Mayer-Steudte
, Nora Brambilla
, Viljami Leino
, Antonio Vairo

Technical University of Munich
Johannes Gutenberg University

Research output: Contribution to journal › Conference article › peer-review

2 Scopus citations

Abstract

We use gradient flow to compute the static force based on a Wilson loop with a chromoelectric field insertion. The result can be compared on one hand to the static force from the numerical derivative of the lattice static energy, and on the other hand to the perturbative calculation, allowing a precise extraction of the Λ₀ parameter. This study may open the way to gradient flow calculations of correlators of chromoelectric and chromomagnetic fields, which typically arise in the nonrelativistic effective field theory factorization.

Original language	English
Article number	353
Journal	Proceedings of Science
Volume	430
State	Published - 6 Apr 2023
Event	39th International Symposium on Lattice Field Theory, LATTICE 2022 - Bonn, Germany Duration: 8 Aug 2022 → 13 Aug 2022

Cite this

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abstract = "We use gradient flow to compute the static force based on a Wilson loop with a chromoelectric field insertion. The result can be compared on one hand to the static force from the numerical derivative of the lattice static energy, and on the other hand to the perturbative calculation, allowing a precise extraction of the Λ0 parameter. This study may open the way to gradient flow calculations of correlators of chromoelectric and chromomagnetic fields, which typically arise in the nonrelativistic effective field theory factorization.",

author = "Julian Mayer-Steudte and Nora Brambilla and Viljami Leino and Antonio Vairo",

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AU - Mayer-Steudte, Julian

AU - Brambilla, Nora

AU - Leino, Viljami

AU - Vairo, Antonio

N1 - Publisher Copyright: © Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License (CC BY-NC-ND 4.0).

PY - 2023/4/6

Y1 - 2023/4/6

N2 - We use gradient flow to compute the static force based on a Wilson loop with a chromoelectric field insertion. The result can be compared on one hand to the static force from the numerical derivative of the lattice static energy, and on the other hand to the perturbative calculation, allowing a precise extraction of the Λ0 parameter. This study may open the way to gradient flow calculations of correlators of chromoelectric and chromomagnetic fields, which typically arise in the nonrelativistic effective field theory factorization.

AB - We use gradient flow to compute the static force based on a Wilson loop with a chromoelectric field insertion. The result can be compared on one hand to the static force from the numerical derivative of the lattice static energy, and on the other hand to the perturbative calculation, allowing a precise extraction of the Λ0 parameter. This study may open the way to gradient flow calculations of correlators of chromoelectric and chromomagnetic fields, which typically arise in the nonrelativistic effective field theory factorization.

UR - https://www.scopus.com/pages/publications/85153263753

M3 - Conference article

AN - SCOPUS:85153263753

SN - 1824-8039

VL - 430

JO - Proceedings of Science

JF - Proceedings of Science

M1 - 353

T2 - 39th International Symposium on Lattice Field Theory, LATTICE 2022

Y2 - 8 August 2022 through 13 August 2022

ER -

Implications of gradient flow on the static force

Abstract

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