String effects in Polyakov loop correlators

Abstract. The potential due to a system of three static quark (3Q) is studied using SU(3) lattice QCD at finite temperature with Polyakov loops operators. We focused our analysis on the large distance properties of the 3Q potential and found a good fit behavior to the Y-string model formula. In addition to the linearly confining term proportional to the minimal length of the Y-string, we observed that the subleading logarithmic term, which is proportional to Dedekind η function and accounts for the Y-string's quantum fluctuations, is necessary to reproduce the quark anti-quark QQ string tension of the corresponding mesonic system at finite temperature.

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“…The inclusion of higher-order string's self-interactions improves the match between the lattice data and the string model [33].…”

Section: String's Phenomenology Of the 3q Potentialmentioning

confidence: 91%

Confining potential of Y-string on the lattice at finite T

2016

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“…The static quark-antiquark potential is linearly rising [5] with interquark separation. The origin of the linearly rising confining potential has been conjectured, in a string-like flux tube model, to be due to the formation of a stringlike flux tube [6][7][8][9][10][11][12] between the two quark color sources.…”

Section: Introductionmentioning

confidence: 99%

“…The IR dynamics of the gluonic sector in the meson have shown gross features to be described in a string picture [7][8][9][10][11][12]. The squeezed flux-tube, by virtue of the surrounding superconductiong medium [2,3,13], is conjectured to vibrate, after roughening, like a massless string.…”

Section: Introductionmentioning

confidence: 99%

Y-stringlike behavior of a static baryon at finite temperature

2015

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We look into the signatures of the effective Y-bosonic strings in the gluonic profile due to a system of three static quarks on the lattice. The gluonic distribution is calculated in pure YangMills lattice gauge theory at finite temperature with Polyakov loops operators. The analysis of the action density unveils a filled-∆ distribution. However, we found that these ∆-shaped action density profiles are structured from three Y-shaped Gaussian-like flux-tubes. The length of the revealed Yflux system increases with the increasing of the color source separation and reaches maximum near the deconfinement point. The lattice data for the mean-square width of the gluonic action density have been compared to the corresponding width calculated based on the string model at finite temperature. We assume Y-string configuration with minimal length. The growth pattern of the action density of the gluonic field fits well to junction fluctuations of the Y-baryonic string model for large quark separation at the considered temperatures.

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“…The effective description is expected to hold over distance scale 1/T c [25] where the effects of the intrinsic thickness [26] of the flux tube diminish. Many gauge models have unambiguously identified the Lüscher correction to the potential with unprecedential accuracy [27][28][29][30][31][32].…”

Section: Introductionmentioning

confidence: 99%

On QCD strings beyond non-interacting model

Bakry,

Deliyergiyev,

Galal

et al. 2020

Preprint

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We investigate the implications of Nambu-Goto (NG), Lscher-Weisz (LW) and Polyakov-Kleinert (PK) string actions for the Casimir energy of the QCD flux-tube at one and two loop order at finite temperature. We perform our numerical study on the 4-dim pure SU(3) Yang-Mills lattice gauge theory at finite temperature and coupling β = 6.0. The static quark-antiquark potential is calculated using link-integrated Polyakov loop correlators. At a high temperature-close to the critical point-We find that the rigidity and self-interactions effects of the QCD string to become detectable. The remarkable feature of this model is that it retrieves a correct dependency of the renormalized string tension on the temperature. Good fit to static potential data at source separations R ≥ 0.5 fm is obtained when including additional two-boundary terms of (LW) action. On the other-hand, at a lower temperature-near the QCD plateau-We detect signatures of two boundary terms of the Lscher-Weisz (LW) string action. The (LW) string with boundary action is yielding a static potential which is in a good agreement with the lattice Monte-Carlo data, however, for color source separation as short as R = 0.3 fm.

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String effects in Polyakov loop correlators

Cited by 13 publications

References 6 publications

Confining potential of Y-string on the lattice at finite T

Confining potential of Y-string on the lattice at finite T

Y-stringlike behavior of a static baryon at finite temperature

On QCD strings beyond non-interacting model

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