On the pattern of Casimir scaling violation in gluodynamics

V.I Shevchenko

doi:10.1016/s0370-2693(02)02968-4

Abstract

Results of lattice analysis indicate that the static potential in SU(3) gauge theory is proportional to eigenvalue of quadratic Casimir operator for the corresponding representation with a good accuracy. We discuss the pattern of deviation from this Casimir scaling in gluodynamics in terms of correlators of path-ordered gauge-invariant operators defined on the worldsheet of the confining string.

Highlights

IntroductionPhysics of confinement in QCD has been attracting considerable attention since the Yang-
Physics of confinement in QCD has been attracting considerable attention since the Yang-Mills theory with dynamical quarks was established as a theory of strong interactions
We have considered only the case of adjoint and fundamental potentials in the present paper but no reasons for breaking of this mechanism in other representations are seen

Summary

Introduction

Physics of confinement in QCD has been attracting considerable attention since the Yang-. It is commonly believed that confining theory such as gluodynamics (i.e. QCD with no quarks) exhibits the mass gap, e.g. the lightest excitation over the physical vacuum is a massive particle. The latter one is indicated by the lattice calculations to be scalar. It will be shown that the certain linear combination of the static potentials arising from the Wilson loops in different representations gets contributions from the exchange by colorless states. The paper is organized as follows: theoretical and lattice status of static potentials in different representations is briefly discussed, the Section 3 presents the details and results of our analysis on more technical level, and short conclusion can be found in the Section 4 The paper is organized as follows: theoretical and lattice status of static potentials in different representations is briefly discussed in the Section 2, the Section 3 presents the details and results of our analysis on more technical level, and short conclusion can be found in the Section 4

Static potentials

Deviations from CS law

Conclusion