Gauge Dependence of ccbar Potential from Nambu-Bethe-Salpeter Wave Function in Lattice QCD

Fuente: arXiv
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Autores principales: Zhang, Tianchen, Ishii, Noriyoshi
Formato: Preprint
Publicado: 2025
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author Zhang, Tianchen
Ishii, Noriyoshi
author_facet Zhang, Tianchen
Ishii, Noriyoshi
contents We study the gauge dependence of $c\bar{c}$ potentials extracted from Nambu-Bethe-Salpeter (NBS) wave functions. The potentials are obtained using the HAL QCD potential method, with an extension introduced by Kawanai and Sasaki for self-consistent determination of the charm quark mass. A systematic comparison is conducted between results obtained in the Coulomb and Landau gauges. The numerical calculations are performed using 2+1 flavor QCD gauge configurations with the charm quark treated in the quenched approximation. We find that the central potentials in both gauges show excellent agreement at short distances but exhibit discrepancies at large distances. We attribute these discrepancies to insufficient suppression of excited-state contamination in the Landau gauge, which affects the linear-rising behavior of the potential at large distance.
format Preprint
id arxiv_https___arxiv_org_abs_2502_06234
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Gauge Dependence of ccbar Potential from Nambu-Bethe-Salpeter Wave Function in Lattice QCD
Zhang, Tianchen
Ishii, Noriyoshi
High Energy Physics - Lattice
High Energy Physics - Phenomenology
Nuclear Theory
We study the gauge dependence of $c\bar{c}$ potentials extracted from Nambu-Bethe-Salpeter (NBS) wave functions. The potentials are obtained using the HAL QCD potential method, with an extension introduced by Kawanai and Sasaki for self-consistent determination of the charm quark mass. A systematic comparison is conducted between results obtained in the Coulomb and Landau gauges. The numerical calculations are performed using 2+1 flavor QCD gauge configurations with the charm quark treated in the quenched approximation. We find that the central potentials in both gauges show excellent agreement at short distances but exhibit discrepancies at large distances. We attribute these discrepancies to insufficient suppression of excited-state contamination in the Landau gauge, which affects the linear-rising behavior of the potential at large distance.
title Gauge Dependence of ccbar Potential from Nambu-Bethe-Salpeter Wave Function in Lattice QCD
topic High Energy Physics - Lattice
High Energy Physics - Phenomenology
Nuclear Theory
url https://arxiv.org/abs/2502.06234