On scale symmetry breaking and confinement in D=3 models

Abstract

Within the framework of the gauge-invariant, but path-dependent, variables formalism, we study the connection between scale symmetry breaking and confinement in three-dimensional gluodynamics. We explicitly show that the static potential profile contains a linear potential, leading to the confinement of static charges. Also, we establish a new type of equivalence among different three-dimensional effective theories.

6 pages, references added

References in corpus (3)

• Static potential from spontaneous breaking of scale symmetry
• Yang-Mills Theory in 2+1 Dimensions: Coupling of Matter Fields and String-breaking Effects
• Confinement from gluodynamics in curved space-time