Conformal field theory and the hot phase of three-dimensional U(1) gauge theory

Abstract

Abstract We study the high-temperature phase of compact U(1) gauge theory in 2 + 1 dimensions, comparing the results of lattice calculations with analytical predictions from the conformal-field-theory description of the low-temperature phase of the bidimensional XY model. We focus on the two-point correlation functions of probe charges and the field-strength operator, finding excellent quantitative agreement with the functional form and the continuously varying critical indices predicted by conformal field theory.

Keywords

• Conformal Field Theory
• Duality in Gauge Field Theories
• Field Theories in Lower Dimensions
• Lattice Quantum Field Theory