String effects in the Wilson loop: a high precision numerical test

Caselle, Michele; Fiore, R.; Gliozzi, F.; Hasenbusch, Martin; Provero, Paolo

doi:10.1016/s0550-3213(96)00672-4

Cited by 87 publications

(115 citation statements)

References 41 publications

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“…This fact was established for the zero temperature case by studying finite size effects in Wilson loop expectation values [6]: the results presented here show that this is the case also at finite temperature. Moreover, we have established that corrections to the free string behavior are present, as expected, at high temperatures, and are well modeled by a NambuGoto string action.…”

Section: Discussionsupporting

confidence: 66%

String effects in Polyakov loop correlators

Caselle

Hasenbusch²,

Panero

et al. 2003

Nuclear Physics B - Proceedings Supplements

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Section: Discussionsupporting

confidence: 66%

String effects in Polyakov loop correlators

Caselle

Hasenbusch²,

Panero

et al. 2003

Nuclear Physics B - Proceedings Supplements

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“…Recent high-precision numerical simulations now even confirm the presence of characteristic string fluctuation effects in the static quark potential [1,2] and in ratios of loop correlation functions [3]- [7].…”

Section: Introductionmentioning

confidence: 87%

String excitation energies in SU(N) gauge theories beyond the free-string approximation

Lüscher

Weisz

2004

J. High Energy Phys.

199

321

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Abstract:In the presence of a static quark-antiquark pair, the spectrum of the lowlying states in SU(N ) gauge theories is discrete and likely to be described, at large quark separations r, by an effective string theory. The expansion of the excitation energies in powers of 1/r, which derives from the latter, involves an increasing number of unknown couplings that characterize the string self-interactions. Using open-closed string duality, we show that the possible values of the couplings are constrained by a set of algebraic relations. In particular, the corrections of order 1/r 2 must vanish, while the 1/r 3 terms (which we work out for the few lowest levels) depend on a single adjustable coupling only.

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“…More or less simultaneously, there were calculations of Wilson loop expectation values investigating the match between string theory predictions and what one obtains in various gauge and spin models by, in particular, the Torino group, e.g. [38,39]. Expectations of Wilson loops are transforms of eigenspectra -although care has to be taken with the self-energies associated with the boundaries -and provide an alternative way to test string models.…”

Section: Earlier Lattice Calculations In D = 3 +mentioning

confidence: 99%

Closed flux tubes and their string description in D =3+1 SU(N) gauge theories

Athenodorou

Bringoltz

Teper

2011

J. High Energ. Phys.

107

256

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Abstract:We calculate the energy spectrum of a confining flux tube that is closed around a spatial torus, as a function of its length l. We do so for various SU(N ) gauge theories in 3+1 dimensions, and for various values of spin, parity and longitudinal momentum. We are able to present usefully accurate results for about 20 of the lightest such states, for a range of l that begins close to the (finite volume) deconfining phase transition at l √ σ ∼ 1.6, and extends up to l √ σ ∼ 6 (where σ is the string tension). We find that most of these low-lying states are well described by the spectrum of the Nambu-Goto free string theory in flat space-time. Remarkably, this is so not only at the larger values of l, where the gap between the ground state energy and the low-lying excitations becomes small compared to the mass gap, but also down to much shorter lengths where these excitation energies become large compared to √ σ, the flux-tube no longer 'looks' anything like a thin string, and an expansion of the effective string action in powers of 1/l no longer converges. All this is for flux in the fundamental representation. We also calculate the k = 2 (anti)symmetric ground states and these show larger corrections at small l. So far all this closely resembles our earlier findings in 2+1 dimensions. However, and in contrast to the situation in D = 2+1, we also find that there are some states, with J P = 0 − quantum numbers, that show large deviations from the Nambu-Goto spectrum. We investigate the possibility that (some of) these states may encode the massive modes associated with the internal structure of the flux tube, and we discuss how the precocious free string behaviour of most states constrains the effective string action, on which much interesting theoretical progress has recently been made.

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String effects in the Wilson loop: a high precision numerical test

Cited by 87 publications

References 41 publications

String effects in Polyakov loop correlators

String effects in Polyakov loop correlators

String excitation energies in SU(N) gauge theories beyond the free-string approximation

Closed flux tubes and their string description in D =3+1 SU(N) gauge theories

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