Width of the flux tube in compact U(1) gauge theory in three dimensions

Abstract

We study the squared width and the profile of flux tubes in compact U(1) lattice gauge theory in three spacetime dimensions. The results obtained from numerical calculations in the dual formulation of this confining theory are compared with predictions from an effective bosonic-string model and from the dual-superconductor model: it is found that the former fails at describing the quantitative features of the flux tube, while the latter is in good agreement with Monte Carlo data. The analytical interpretation of these results (in the light of the semi-classical analysis by Polyakov) is pointed out, and a comparison with non-Abelian gauge theories in four spacetime dimensions is discussed.

19 pages, 5 pdf figures; v2: 21 pages, 8 pdf figures: references added, new data and new figures included, discussion slightly revised

References in corpus (13)

• SU(N) gauge theories at large N
• The Width of the Confining String in Yang-Mills Theory
• Flux tubes in the SU(3) vacuum: London penetration depth and coherence length
• Chromoelectric flux tubes in QCD
• Static potential, force, and flux-tube profile in 4D compact U(1) lattice gauge theory with the multi-level algorithm
• A different kind of string
• The interface free energy: Comparison of accurate Monte Carlo results for the 3D Ising model with effective interface models
• The Width of the Color Flux Tube at 2-Loop Order
• Linear broadening of the confining string in Yang-Mills theory at low temperature
• The Y-stringlike behavior of a static hadron at finite T
• Fluctuations of the baryonic flux-tube junction from effective string theory
• Confining string and its widening in HP1 embedding approach
• Form factor and width of a quantum string

Cited by in corpus (24)

• Approaches to the sign problem in lattice field theory
• Effective string description of confining flux tubes
• Flux tubes in the QCD vacuum
• Jarzynski's theorem for lattice gauge theory
• Spectrum of the open QCD flux tube and its effective string description I: 3d static potential in SU(N=2,3)
• Direct probe of the interior of an electric pion in a Cooper pair superinsulator
• On the spectrum and string tension of U(1) lattice gauge theory in 2+1 dimensions
• Color flux tubes in $SU(3)$ Yang-Mills theory: an investigation with the connected correlator
• Numerical determination of the width and shape of the effective string using Stochastic Normalizing Flows
• Polyakov's confinement mechanism for generalized Maxwell theory
• Flux tubes and string breaking in three dimensional SU(2) Yang-Mills theory
• Ising string beyond Nambu-Goto
• Conformal field theory and the hot phase of three-dimensional U(1) gauge theory
• Excitations of Ising Strings on a Lattice
• Perturbative width of open rigid strings
• Quantum delocalization of strings with boundary action in Yang-Mills theory
• Stiff self-interacting string near QCD deconfinement point
• On QCD strings beyond non-interacting model
• Boundary action and profile of effective bosonic strings
• Intermediate-Distance String Effects in Wilson Loops\\ via Boundary Action
• On the equation of state of U(1) lattice gauge theory in three dimensions
• Diagrammatic Strong Coupling Expansion of U(1) Lattice Model in Fourier Basis
• Strings of diquark-quark (QQ)Q baryon before phase transition
• Squared width and profile of the confining flux tube in the U(1) LGT in 3D