The Width of the Confining String in Yang-Mills Theory

Abstract

We investigate the transverse fluctuations of the confining string connecting two static quarks in (2+1)-d SU(2) Yang-Mills theory using Monte Carlo calculations. The exponentially suppressed signal is extracted from the large noise by a very efficient multi-level algorithm. The resulting width of the string increases logarithmically with the distance between the static quark charges. Corrections at intermediate distances due to universal higher order terms in the effective string action are calculated analytically. They accurately fit the numerical data.

4 pages, 3 figures. Minor changes; corrected one typo; added one reference

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• Width of the flux tube in compact U(1) gauge theory in three dimensions
• Lorentz completion of effective string (and p-brane) action
• The Lorentz-invariant boundary action of the confining string and its universal contribution to the inter-quark potential
• Flux tubes at finite temperature
• Colour field densities of the quark-antiquark excited flux tubes in SU(3) lattice QCD
• String effects and the distribution of the glue in mesons at finite temperature
• On the intrinsic width of the chromoelectric flux tube in finite temperature LGTs
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• The Width of the Color Flux Tube at 2-Loop Order
• Flux tube delocalization at the deconfinement point
• Effects of a strong magnetic field on the QCD flux tube
• Spectrum of the open QCD flux tube and its effective string description I: 3d static potential in SU(N=2,3)
• The confining color field in SU(3) gauge theory
• Linear broadening of the confining string in Yang-Mills theory at low temperature
• Phases of Gauge Theories
• The Y-stringlike behavior of a static hadron at finite T
• Bosonic stringlike behavior and the Ultraviolet filtering of QCD
• Color flux tubes in $SU(3)$ Yang-Mills theory: an investigation with the connected correlator
• Effective QCD string beyond Nambu-Goto
• A Study of Stress-Tensor Distribution around Flux Tube in Abelian-Higgs Model
• Sampling the lattice Nambu-Goto string using Continuous Normalizing Flows
• The transverse structure of the QCD string
• A new approach to the study of effective string corrections in LGTs
• Numerical determination of the width and shape of the effective string using Stochastic Normalizing Flows
• Flux tubes and string breaking in three dimensional SU(2) Yang-Mills theory
• Ising string beyond Nambu-Goto
• Spectrum of very excited ${\Sigma }_g^{+}$ flux tubes in SU(3) gauge theory
• Form factor and width of a quantum string
• Quantisation of the effective string with TBA
• High-Energy Scattering vs Static QCD Strings
• Stiff self-interacting string near QCD deconfinement point
• Perturbative width of open rigid strings
• Quantum delocalization of strings with boundary action in Yang-Mills theory
• Boundary action and profile of effective bosonic strings
• On QCD strings beyond non-interacting model
• A New Constraint on Effective Field Theories of the QCD Flux Tube
• Existence of a Supersymmetric Massless Ground State of the $SU(N)$ Matrix Model globally on its Valleys
• Confining potential of Y-string on the lattice at finite T
• Intermediate-Distance String Effects in Wilson Loops\\ via Boundary Action
• Strings of diquark-quark (QQ)Q baryon before phase transition
• On the holographic width of flux tubes
• Scaling and Luescher Term in a non-Abelian (2+1)d SU$(2)$ Quantum Link Model