The unreasonable effectiveness of effective string theory: the case of the 3d SU(2) Higgs model

Abstract

We study string breaking in the three dimensional SU(2) Higgs model, using values of the gauge coupling for which the confinement-like and Higgs-like regions of the phase diagram are separated just by a smooth crossover. We show that even in the presence of string breaking, the confining part of the interquark potential is well described by the Effective String Theory and that also the fine details of the effective string, like the higher order terms of the Nambu-Goto action or the boundary correction, can be precisely extracted from the fits and agree with the effective string predictions. We comment on the implications of these results for QCD simulations with dynamical quarks.

arXiv comment9 pages, 6 eps figures, minor changes and some references added. To be published on Phys. Rev. D

References in corpus (42)

• Observation of String Breaking in QCD
• SU(N) gauge theories in 2+1 dimensions
• Locality and exponential error reduction in numerical lattice gauge theory
• The Effective Theory of Long Strings
• String excitation energies in SU(N) gauge theories beyond the free-string approximation
• Finite size effects on measures of critical exponents in d=3 O(N) models
• String Breaking in Non-Abelian Gauge Theories with Fundamental Matter Fields
• String breaking by light and strange quarks in QCD
• On the Mass Spectrum of the SU(2) Higgs Model in 2+1 Dimensions
• String breaking in SU(2) gauge theory with scalar matter fields
• On the effective theory of long open strings
• Observing string breaking with Wilson loops
• A precise calculation of the fundamental string tension in SU(N) gauge theories in 2+1 dimensions
• Four-point renormalized coupling constant in O(N) models
• Effective string description of confining flux tubes
• Static quark potential and effective string corrections in the (2+1)-d SU(2) Yang-Mills theory
• String Breaking in SU(2) Yang Mills Theory with Adjoint Sources
• Breaking of the adjoint string in 2+1 dimensions
• String Breaking as a Mixing Phenomenon in the SU(2) Higgs Model
• Phase diagram of the lattice SU(2) Higgs model
• Computation of the quarkonium and meson-meson composition of the ${\rm Y}(nS)$ states and of the new ${\rm Y}(10753)$ Belle resonance from lattice QCD static potentials
• Phase diagram, symmetry breaking, and critical behavior of three-dimensional lattice multiflavor scalar chromodynamics
• The Lorentz-invariant boundary action of the confining string and its universal contribution to the inter-quark potential
• Polyakov loop correlators from D0-brane interactions in bosonic string theory
• Diabatic description of charmonium-like mesons
• Scalar-gauge dynamics in (2+1) dimensions at small and large scalar couplings
• Bottomonium resonances with $I=0$ from lattice QCD correlation functions with static and light quarks
• Probing boundary-corrections to Nambu-Goto open string energy levels in 3d SU(2) gauge theory
• The partition function of interfaces from the Nambu-Goto effective string theory
• Three-dimensional lattice multiflavor scalar chromodynamics: interplay between global and gauge symmetries
• Spectrum of the open QCD flux tube and its effective string description I: 3d static potential in SU(N=2,3)
• From Decay to Complete Breaking: Pulling the Strings in SU(2) Yang-Mills Theory
• Adjoint "quarks" on coarse anisotropic lattices: Implications for string breaking in full QCD
• Universal signatures of the effective string in finite temperature lattice gauge theories
• New numerical results and novel effective string predictions for Wilson loops
• Diabatic description of bottomoniumlike mesons
• A model for string-breaking in QCD
• Flux tubes and string breaking in three dimensional SU(2) Yang-Mills theory
• String breaking in QCD: dual superconductor vs. stochastic vacuum model
• Quantum delocalization of strings with boundary action in Yang-Mills theory
• Boundary action and profile of effective bosonic strings
• Effective string description of the confining flux tube at finite temperature

Cited by in corpus (7)

• Fine corrections in the effective string describing SU(2) Yang-Mills theory in three dimensions
• Confining strings in three-dimensional gauge theories beyond the Nambu--Gotō approximation
• On the question of quark confinement in the Abelian U(1) QED gauge interaction
• Perturbative width of open rigid strings
• QED meson description of the anomalous particles at ~17 and ~38 MeV
• Highly excited pure gauge SU(3) flux tubes
• Strings of diquark-quark (QQ)Q baryon before phase transition