A numerical study of confinement in compact QED

Abstract

Compact U(1) lattice gauge theory in four dimensions is studied by means of an efficient algorithm which exploits the duality transformation properties of the model. We focus our attention onto the confining regime, considering the interquark potential and force, and the electric field induced by two infinitely heavy sources. We consider both the zero and finite temperature setting, and compare the theoretical predictions derived from the effective string model and the dual superconductor scenario to the numerical results.

31 pages, 16 eps figures; v2: references added; v3: footnote added, summation ranges in section 4 made explicit, version published in JHEP

References in corpus (7)

• String excitation energies in SU(N) gauge theories beyond the free-string approximation
• Static quark potential and effective string corrections in the (2+1)-d SU(2) Yang-Mills theory
• Comparing the Nambu-Goto string with LGT results
• Static potential, force, and flux-tube profile in 4D compact U(1) lattice gauge theory with the multi-level algorithm
• Generation of confinement and other nonperturbative effects by infrared gluonic degrees of freedom
• Finite temperature phase transition in the 4d compact U(1) lattice gauge theory
• Overlap of the Wilson loop with the broken-string state

Cited by in corpus (51)

• SU(N) gauge theories at large N
• Approaches to the sign problem in lattice field theory
• The Bond-Algebraic Approach to Dualities
• Lattice study of the Silver Blaze phenomenon for a charged scalar phi-4 field
• Numerical simulations of a non-commutative theory: the scalar model on the fuzzy sphere
• High precision Monte Carlo simulations of interfaces in the three-dimensional Ising model: a comparison with the Nambu-Goto effective string model
• Casimir scaling and renormalization of Polyakov loops in large-N gauge theories
• On the linear increase of the flux tube thickness near the deconfinement transition
• Solving the sign problems of the massless lattice Schwinger model with a dual formulation
• Introductory lectures to large-N QCD phenomenology and lattice results
• Surface worm algorithm for abelian Gauge-Higgs systems on the lattice
• The phase diagram of Yang-Mills theory with a compact extra dimension
• Width of the flux tube in compact U(1) gauge theory in three dimensions
• Polyakov loop correlators from D0-brane interactions in bosonic string theory
• A different kind of string
• Dual lattice simulation of the U(1) gauge-Higgs model at finite density - an exploratory proof-of-concept study
• Hagedorn spectrum and thermodynamics of SU(2) and SU(3) Yang-Mills theories
• Jarzynski's theorem for lattice gauge theory
• The interface free energy: Comparison of accurate Monte Carlo results for the 3D Ising model with effective interface models
• On the intrinsic width of the chromoelectric flux tube in finite temperature LGTs
• Dual Computations of Non-abelian Yang-Mills on the Lattice
• The partition function of interfaces from the Nambu-Goto effective string theory
• Gauge and matter fields as surfaces and loops - an exploratory lattice study of the Z(3) Gauge-Higgs model
• Center vortices as sources of Abelian dominance in pure SU(2) Yang-Mills theory
• The static quark potential from a multilevel algorithm for the improved gauge action
• Fluctuations of the baryonic flux-tube junction from effective string theory
• Geometric Algorithm for Abelian-Gauge Models
• On the effective string spectrum of the tridimensional Z(2) gauge model
• The U(1) Lattice Gauge Theory Universally Connects All Classical Models with Continuous Variables, Including Background Gravity
• Probing the ground state in gauge theories
• 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
• A Dual Non-abelian Yang-Mills Amplitude in Four Dimensions
• Confining string and its widening in HP1 embedding approach
• Lattice pure gauge compact QED in the Landau gauge: the photon propagator, the phase structure and the presence of Dirac strings
• The lattice Landau gauge photon propagator for 4D compact QED
• Conformal field theory and the hot phase of three-dimensional U(1) gauge theory
• The Schwinger function, confinement and positivity violation in pure gauge QED
• Phase diagram of the 4D U(1) model at finite temperature
• A Gauge-Independent Mechanism for Confinement and Mass Gap: Part I -- The General Framework
• Monopole-Antimonopole Correlation Functions in 4D U(1) Gauge Theory
• Non-perturbatively gauge-fixed compact $U(1)$ lattice gauge theory
• On U(1) Gauge Theory Transfer-Matrix in Fourier Basis
• Wilson Loops in Non-Compact U(1) Gauge Theories at Criticality
• Approximate dual representation for Yang-Mills SU(2) gauge theory
• On the equation of state of U(1) lattice gauge theory in three dimensions
• Compact QED: the photon propagator, confinement and positivity violation for the pure gauge theory
• Low-lying Dirac eigenmodes and monopoles in 4D compact QED
• Diagrammatic Strong Coupling Expansion of U(1) Lattice Model in Fourier Basis
• Low-lying Dirac eigenmodes and monopoles in 3+1D compact QED