Short Strings in Abelian Higgs Model

Abstract

We consider the monopole-antimonopole static potential in the confining phase of the Abelian Higgs model and in particular the corrections to the Coulomb-like potential at small distances r. By minimizing numerically the classical energy functional we observe a linear in r, stringy correction even at distances much smaller than the apparent physical scales. We argue that this term is a manifestation of the condition that the monopoles are connected by a mathematically thin line along which the scalar field vanishes. These short strings modify the operator product expansion as well. Implications for QCD are discussed.

Error in previous submission corrected

References in corpus (3)

• Probing the QCD Vacuum with Static Sources in Maximal Abelian Projection
• On Non Perturbative Corrections to the Potential for Heavy Quarks
• Monopole-antimonopole interaction in Abelian Higgs model

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