Dressed Wilson loops as dual condensates in response to magnetic and electric fields

Abstract

We introduce dressed Wilson loops as a novel confinement observable. It consists of closed planar loops of arbitrary geometry but fixed area, and its expectation values decay with the latter. The construction of dressed Wilson loops is based on chiral condensates in response to magnetic and electric fields, thus linking different physical concepts. We present results for generalized condensates and dressed Wilson loops on dynamical lattice configurations and confirm the agreement with conventional Wilson loops in the limit of large probe mass. We comment on the renormalization of dressed Wilson loops.

7 pages, 4 figures; journal version; added: physical intuition, remarks on renormalization, lattice loop multiplicities (appendix), references

References in corpus (8)

• The QCD transition temperature: results with physical masses in the continuum limit
• Chiral Properties of Strong Interactions in a Magnetic Background
• Dual quark condensate and dressed Polyakov loops
• Chiral and deconfinement transition from Dyson-Schwinger equations
• Linking confinement to spectral properties of the Dirac operator
• Complete spectra of the Dirac operator and their relation to confinement
• Relation between chiral symmetry breaking and confinement in YM-theories
• Dual condensate and QCD phase transition

Cited by in corpus (8)

• The QCD phase diagram for external magnetic fields
• Inverse magnetic catalysis and the Polyakov loop
• Dynamical quark mass generation in a strong external magnetic field
• Magnetic catalysis in the (2+1)-dimensional Gross-Neveu model
• Surprises in relativistic matter in a magnetic field
• QCD in magnetic fields: from Hofstadter's butterfly to the phase diagram
• Roberge-Weiss periodicity, canonical sector and modified Polyakov-loop
• Axial Anomaly and Chiral Asymmetry in Magnetized Relativistic Matter