Confinement effect as a result of spontaneous breaking of scale invariance

I. Korover, E. I. Guendelman

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20 Scopus citations

Abstract

In this paper the consequences of introducing spontaneous symmetry breaking of scale invariance through a scale that is obtained from the integration of the equations of motion of four index field strengths are studied. Confinement is obtained for all values of this constant of integration. For negative values two point charges have a potential energy that grows linearly with distance, but they can be arbitrarily far apart (although this is costly from the point of view of energy). For positive values of the integration constant, there is no possibility of separating charges too far apart; at a certain point a new charge of opposite sign has to be added to form a neutral system that cannot be bigger that a critical size. We discuss this using different methods, including some developed by Adler and Piran. In addition, we discuss a few alternative effective actions that are similar and that also give confinement.

Original languageEnglish
Pages (from-to)1443-1456
Number of pages14
JournalInternational Journal of Modern Physics A
Volume24
Issue number7
DOIs
StatePublished - 20 Mar 2009

Keywords

  • Confinement quarks and gluons
  • Nonlinear field theory
  • Spontaneous breaking of scale invariance

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