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

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.

1+26 pages, 4 figures; v2: 1+31 pages, 4 figures

References in corpus (29)

• "Deconfined" quantum critical points
• A Duality Web in 2+1 Dimensions and Condensed Matter Physics
• AC conductivity of graphene: from tight-binding model to 2+1-dimensional quantum electrodynamics
• Level/rank Duality and Chern-Simons-Matter Theories
• Chern-Simons-matter dualities with $SO$ and $USp$ gauge groups
• Monte Carlo simulation results for critical Casimir forces
• Equation of State for SU(3) Gauge Theory via the Energy-Momentum Tensor under Gradient Flow
• On the Phase Structure of Many-Flavor QED${}_3$
• Bosonization and Mirror Symmetry
• Nonsupersymmetric dualities from mirror symmetry
• More Abelian Dualities in 2+1 Dimensions
• Chiral symmetry breaking in ${\mathrm{QED}}_3$ in presence of irrelevant interactions: a renormalization group study
• Thermodynamics of SU(N) Yang-Mills theories in 2+1 dimensions I - The confining phase
• A different kind of string
• Quantum electrodynamics in 2+1 dimensions, confinement, and the stability of U(1) spin liquids
• Exceptional thermodynamics: The equation of state of G(2) gauge theory
• Critical behaviour of ($2+1$)-dimensional QED: $1/N_f$-corrections in an arbitrary non-local gauge
• Scaling dimensions in QED${}_3$ from the $\epsilon$-expansion
• The Casimir effect and deconfinement phase transition
• Thermalization and chaos in QED${}_3$
• Non-perturbative beta function in three-dimensional electrodynamics
• Compact quantum electrodynamics in 2+1 dimensions and spinon deconfinement: a renormalization group analysis
• Thermodynamics of SU(3) Gauge Theory in 2 + 1 Dimensions
• On the spectrum and string tension of U(1) lattice gauge theory in 2+1 dimensions
• Kosterlitz-Thouless transition in thin films: A Monte Carlo study of three-dimensional lattice models
• Improved thermodynamics of SU(2) gauge theory
• Lattice Study of Anisotropic QED-3
• Conserved chiral currents on the boundary of 3D Maxwell theory
• Non-compact QED3 at finite temperature: the confinement-deconfinement transition