Electromagnetic fluxes, monopoles, and the order of the 4d compact U(1) phase transition

Abstract

We consider the 4d compact U(1) gauge theory with extended action S=-beta sum_P cos theta_P -gamma sum_P cos 2 theta_P We give a full characterization of the phase diagram of this model using the notion of flux. The relation with the usual monopole picture is discussed. In analogy with the XY model we consider the helicity modulus \cite{Jose:1977gm} for this theory, and show that it is an order parameter. Analyzing the finite-size effects of the helicity modulus we conclude that the transition is first-order. The value of this order parameter is related to the renormalized coupling beta_R. We measure beta^c_R at the transition point and give a counterexample to its conjectured universal value \cite{Cardy:jg}.

39 pages and 25 figures. The determination of the renormalized coupling has been improved. To appear in Nuclear Physics B

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Cited by in corpus (25)

• The phase diagram of Yang-Mills theory with a compact extra dimension
• Color Dynamics in External Fields
• Density of states and Fisher's zeros in compact U(1) pure gauge theory
• Finite temperature phase transition in the 4d compact U(1) lattice gauge theory
• The 4-D Layer Phase as a Gauge Field Localization: Extensive Study of the 5-D Anisotropic U(1) Gauge Model on the Lattice
• Non-Perturbative U(1) Gauge Theory at Finite Temperature
• Casimir boundaries, monopoles, and deconfinement transition in 3+1 dimensional compact electrodynamics
• Establishment of the Coulomb law in the layer phase of a pure U(1) lattice gauge theory
• Spontaneous creation of chromomagnetic field and A_0-condensate at high temperature on a lattice
• The helicity modulus in gauge field theories
• Gauge Field Localization in the Linear Dilaton Background
• Phase diagram of the 4D U(1) model at finite temperature
• Program package for multicanonical simulations of U(1) lattice gauge theory
• A cluster algorithm for Lattice Gauge Theories
• Metastable states in the planar 2d XY model and dissipation in superfluid flow
• Non-perturbatively gauge-fixed compact $U(1)$ lattice gauge theory
• Monopole-Antimonopole Correlation Functions in 4D U(1) Gauge Theory
• Tricritical points in a compact $U(1)$ lattice gauge theory at strong coupling
• Twist free energy and critical behavior of 3D U(1) LGT at finite temperature
• Dirac zero-modes in compact U(1) gauge theory
• Topological Data Analysis of Monopole Current Networks in $U(1)$ Lattice Gauge Theory
• Finite temperature and confinement along the extra dimensions studied on a five-dimensional U(1) lattice gauge model
• Are there Local Minima in the Magnetic Monopole Potential in Compact QED?
• Compact lattice U(1) and Seiberg-Witten duality: a quantitative comparison
• Generalized symmetry enriched criticality in (3+1)d