QCD potential as a "Coulomb-plus-linear" potential

Y. Sumino

doi:10.1016/j.physletb.2003.05.010

QCD potential as a "Coulomb-plus-linear" potential

Y. Sumino

SCI - Physics

Research output: Contribution to journal › Article › peer-review

27 Citations (Scopus)

Abstract

We show analytically that the QCD potential can be expressed, up to an O(Δ_QCD³r²) uncertainty, as the sum of a "Coulomb" potential (with log corrections at short distances) and a linear potential, within an approximation based on perturbative expansion in α_S and the renormalon dominance picture. The expansion of V_QCD(r) is truncated at O(α_S^N) (N = 6π/(β₀α_S)), where the term becomes minimal according to the estimate by NLO renormalon, and is studied for N ≫ 1. Analytic expressions for the linear potential are obtained in some cases.

Original language	English
Pages (from-to)	173-183
Number of pages	11
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	571
Issue number	3-4
DOIs	https://doi.org/10.1016/j.physletb.2003.05.010
Publication status	Published - 2003 Oct 9

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/j.physletb.2003.05.010

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title = "QCD potential as a {"}Coulomb-plus-linear{"} potential",

abstract = "We show analytically that the QCD potential can be expressed, up to an O(ΔQCD3r2) uncertainty, as the sum of a {"}Coulomb{"} potential (with log corrections at short distances) and a linear potential, within an approximation based on perturbative expansion in αS and the renormalon dominance picture. The expansion of VQCD(r) is truncated at O(αSN) (N = 6π/(β0αS)), where the term becomes minimal according to the estimate by NLO renormalon, and is studied for N ≫ 1. Analytic expressions for the linear potential are obtained in some cases.",

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year = "2003",

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doi = "10.1016/j.physletb.2003.05.010",

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T1 - QCD potential as a "Coulomb-plus-linear" potential

AU - Sumino, Y.

PY - 2003/10/9

Y1 - 2003/10/9

N2 - We show analytically that the QCD potential can be expressed, up to an O(ΔQCD3r2) uncertainty, as the sum of a "Coulomb" potential (with log corrections at short distances) and a linear potential, within an approximation based on perturbative expansion in αS and the renormalon dominance picture. The expansion of VQCD(r) is truncated at O(αSN) (N = 6π/(β0αS)), where the term becomes minimal according to the estimate by NLO renormalon, and is studied for N ≫ 1. Analytic expressions for the linear potential are obtained in some cases.

AB - We show analytically that the QCD potential can be expressed, up to an O(ΔQCD3r2) uncertainty, as the sum of a "Coulomb" potential (with log corrections at short distances) and a linear potential, within an approximation based on perturbative expansion in αS and the renormalon dominance picture. The expansion of VQCD(r) is truncated at O(αSN) (N = 6π/(β0αS)), where the term becomes minimal according to the estimate by NLO renormalon, and is studied for N ≫ 1. Analytic expressions for the linear potential are obtained in some cases.

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M3 - Article

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SN - 0370-2693

VL - 571

SP - 173

EP - 183

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

IS - 3-4

ER -

QCD potential as a "Coulomb-plus-linear" potential

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