Static quark potential and effective string corrections in the (2+1)-d SU(2) Yang-Mills theory

Abstract

We report on a very accurate measurement of the static quark potential in SU(2) Yang-Mills theory in (2+1) dimensions in order to study the corrections to the linear behaviour. We perform numerical simulations at zero and finite temperature comparing our results with the corrections given by the effective string picture in these two regimes. We also check for universal features discussing our results together with those recently published for the (2+1)-d Z(2) and SU(3) pure gauge theories.

29 pages, 6 figures

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• High precision Monte Carlo simulations of interfaces in the three-dimensional Ising model: a comparison with the Nambu-Goto effective string model
• Thermodynamics of SU(N) Yang-Mills theories in 2+1 dimensions II - The deconfined phase
• The closed string spectrum of SU(N) gauge theories in 2+1 dimensions
• Effective string description of confining flux tubes
• On the linear increase of the flux tube thickness near the deconfinement transition
• Poincare invariance in effective string theories
• Introductory lectures to large-N QCD phenomenology and lattice results
• Thermodynamics of SU(N) Yang-Mills theories in 2+1 dimensions I - The confining phase
• Flux tubes in the QCD vacuum
• The Lorentz-invariant boundary action of the confining string and its universal contribution to the inter-quark potential
• Flux tubes at finite temperature
• Polyakov loop correlators from D0-brane interactions in bosonic string theory
• The interface free energy: Comparison of accurate Monte Carlo results for the 3D Ising model with effective interface models
• String effects and the distribution of the glue in mesons at finite temperature
• String-like behaviour of 4d SU(3) Yang-Mills flux tubes
• Spectrum of the QCD flux tube in 3d SU(2) lattice gauge theory
• Continuum limit of string formation in 3-d SU(2) LGT
• The partition function of interfaces from the Nambu-Goto effective string theory
• The Width of the Color Flux Tube at 2-Loop Order
• Linear broadening of the confining string in Yang-Mills theory at low temperature
• Universal signatures of the effective string in finite temperature lattice gauge theories
• The Y-stringlike behavior of a static hadron at finite T
• The static hybrid potential in D dimensions at short distances
• The static quark potential from a multilevel algorithm for the improved gauge action
• The confining string beyond the free-string approximation in the gauge dual of percolation
• Fluctuations of the baryonic flux-tube junction from effective string theory
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• Fine corrections in the effective string describing SU(2) Yang-Mills theory in three dimensions
• Finite temperature effective string corrections in (3+1)D SU(2) lattice gauge theory
• Study of the flux tube thickness in 3d LGT's by means of 2d spin models
• The unreasonable effectiveness of effective string theory: the case of the 3d SU(2) Higgs model
• Static forces in d=2+1 SU(N) gauge theories
• On the ground state of Yang-Mills theory
• SU(N_c -> infinity) Lattice Data and Degrees of Freedom of the QCD string
• $\xi /{\xi }_{2nd}$ ratio as a tool to refine Effective Polyakov Loop models
• Perturbative width of open rigid strings
• Strings of diquark-quark (QQ)Q baryon before phase transition
• The $\xi /{\xi }_{2nd}$ ratio as a test for Effective Polyakov Loop Actions
• Scaling and Luescher Term in a non-Abelian (2+1)d SU$(2)$ Quantum Link Model