Renormalization of Loop Functions in QCD

Abstract

We give a short overview of the renormalization properties of rectangular Wilson loops, the Polyakov loop correlator and the cyclic Wilson loop. We then discuss how to renormalize loops with more than one intersection, using the simplest non-trivial case as an illustrative example. Our findings expand on previous treatments. The generalized exponentiation theorem is applied to the Polyakov loop correlator and used to renormalize linear divergences in the cyclic Wilson loop.

15 pages, 3 figures, invited contribution to the special issue "Path Dependence in Quantum Physics" of Particles and Nuclei

References in corpus (4)

• Heavy quarkonium: progress, puzzles, and opportunities
• Webs in multiparton scattering using the replica trick
• Polyakov loop and correlator of Polyakov loops at next-to-next-to-leading order
• Renormalization of the cyclic Wilson loop

Cited by in corpus (8)

• QCD and strongly coupled gauge theories: challenges and perspectives
• Heavy Quarkonium in Extreme Conditions
• Color screening in (2+1)-flavor QCD
• The Polyakov loop at next-to-next-to leading order
• Polyakov loop correlator in perturbation theory
• Quarkonium propagation in the quark gluon plasma
• Color flux tubes in $SU(3)$ Yang-Mills theory: an investigation with the connected correlator
• Loop functions in thermal QCD