Anti-screening by quarks and the structure of the inter-quark potential

Emili Bagan; Martin Lavelle; David McMullan

doi:10.1016/j.physletb.2005.11.038

Anti-screening by quarks and the structure of the inter-quark potential

Emili Bagan, Martin Lavelle, David McMullan

Department of Physics

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

8 Citations (Scopus)

Abstract

The inter-quark potential is dominated by anti-screening effects which underly asymptotic freedom. We calculate the order g6 anti-screening contribution from light fermions and demonstrate that these effects introduce a non-local divergence. These divergences are shown to make it impossible to define a coupling renormalisation scheme that renormalises this minimal, anti-screening potential. Hence the beta function cannot be divided into screening and anti-screening parts beyond lowest order. However, we then demonstrate that renormalisation can be carried out in terms of the anti-screening potential. © 2005 Elsevier B.V. All rights reserved.

Original language	English
Pages (from-to)	652-656
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	632
Issue number	5-6
DOIs	https://doi.org/10.1016/j.physletb.2005.11.038
Publication status	Published - 26 Jan 2006

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abstract = "The inter-quark potential is dominated by anti-screening effects which underly asymptotic freedom. We calculate the order g6 anti-screening contribution from light fermions and demonstrate that these effects introduce a non-local divergence. These divergences are shown to make it impossible to define a coupling renormalisation scheme that renormalises this minimal, anti-screening potential. Hence the beta function cannot be divided into screening and anti-screening parts beyond lowest order. However, we then demonstrate that renormalisation can be carried out in terms of the anti-screening potential. {\textcopyright} 2005 Elsevier B.V. All rights reserved.",

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AU - Bagan, Emili

AU - Lavelle, Martin

AU - McMullan, David

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N2 - The inter-quark potential is dominated by anti-screening effects which underly asymptotic freedom. We calculate the order g6 anti-screening contribution from light fermions and demonstrate that these effects introduce a non-local divergence. These divergences are shown to make it impossible to define a coupling renormalisation scheme that renormalises this minimal, anti-screening potential. Hence the beta function cannot be divided into screening and anti-screening parts beyond lowest order. However, we then demonstrate that renormalisation can be carried out in terms of the anti-screening potential. © 2005 Elsevier B.V. All rights reserved.

AB - The inter-quark potential is dominated by anti-screening effects which underly asymptotic freedom. We calculate the order g6 anti-screening contribution from light fermions and demonstrate that these effects introduce a non-local divergence. These divergences are shown to make it impossible to define a coupling renormalisation scheme that renormalises this minimal, anti-screening potential. Hence the beta function cannot be divided into screening and anti-screening parts beyond lowest order. However, we then demonstrate that renormalisation can be carried out in terms of the anti-screening potential. © 2005 Elsevier B.V. All rights reserved.

U2 - 10.1016/j.physletb.2005.11.038

DO - 10.1016/j.physletb.2005.11.038

M3 - Article

VL - 632

SP - 652

EP - 656

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

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

SN - 0370-2693

IS - 5-6

ER -