Linear broadening of the confining string in Yang-Mills theory at low temperature

Gliozzi, F.; Wiese, U.‐J.

doi:10.1007/jhep01(2011)057

Cited by 29 publications

(25 citation statements)

References 38 publications

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“…[22][23][24][25][26], for analogous studies in a "baryonic" setup). This analytical computation can be extended to the next-to-leading order [27,28] and remarkable agreement with Monte Carlo results has been found also at this level [27][28][29][30].…”

Section: Introductionsupporting

confidence: 68%

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Width of the flux tube in compact U(1) gauge theory in three dimensions

Caselle

Panero

Vadacchino

2016

J. High Energ. Phys.

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We study the squared width and the profile of flux tubes in compact U(1) lattice gauge theory in three spacetime dimensions. The results obtained from numerical calculations in the dual formulation of this confining theory are compared with predictions from an effective bosonic-string model and from the dual-superconductor model: it is found that the former fails at describing the quantitative features of the flux tube, while the latter is in good agreement with Monte Carlo data. The analytical interpretation of these results (in the light of the semi-classical analysis by Polyakov) is pointed out, and a comparison with non-Abelian gauge theories in four spacetime dimensions is discussed.Comment: 19 pages, 5 pdf figures; v2: 21 pages, 8 pdf figures: references added, new data and new figures included, discussion slightly revise

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Section: Introductionsupporting

confidence: 68%

“…At finite temperature T (but still in the confining regime), the same effective theory predicts a linear increase of the squared width, with a proportionality constant that diverges as the deconfinement temperature is approached from below [29,31]. Also these predictions were recently confirmed by numerical simulations [29,30].…”

Section: Introductionmentioning

confidence: 62%

Width of the flux tube in compact U(1) gauge theory in three dimensions

Caselle

Panero

Vadacchino

2016

J. High Energ. Phys.

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“…(Note that this paper predates [5][6][7][8] and so does not comment on the expected universality of this term.) Our expectation that there should be massive modes is closely linked to the idea that the flux tube has an intrinsic width, and there have been papers calculating that at both zero and non-zero T in some confining field theories as well as ideas how to go about doing so [40][41][42][43][44][45][46]. There are interesting extensions to finite T [47,48], attempts to see to what scale the effective string action is valid [49], and a calculation of the excitations of the static potential in D = 2 + 1 [50].…”

Section: Jhep05(2011)042mentioning

confidence: 99%

Closed flux tubes and their string description in D=2+1 SU(N) gauge theories

Athenodorou

Bringoltz²,

Teper

2011

J. High Energ. Phys.

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We carry out lattice calculations of the spectrum of confining flux tubes that wind around a spatial torus of variable length l, in 2+1 dimensions. We compare the energies of the lowest ∼ 30 states to the free string Nambu-Goto model and to recent results on the universal properties of effective string actions. Our most useful calculations are in SU(6) at a small lattice spacing, which we check is very close to the N → ∞ continuum limit. We find that the energies, E n (l), are remarkably close to the predictions of the free string Nambu-Goto model, even well below the critical length at which the expansion of the Nambu-Goto energy in powers of 1/l 2 diverges and the series needs to be resummed. Our analysis of the ground state supports the universality of the O(1/l) and the O(1/l 3 ) corrections to σl, and we find that the deviations from Nambu-Goto at small l prefer a leading correction that is O(1/l 7 ), consistent with theoretical expectations. We find that the low-lying states that contain a single phonon excitation are also consistent with the leading O(1/l 7 ) correction dominating down to the smallest values of l. By contrast our analysis of the other light excited states clearly shows that for these states the corrections at smaller l resum to a much smaller effective power. Finally, and in contrast to our recent calculations in D = 3 + 1, we find no evidence for the presence of any non-stringy states that could indicate the excitation of massive flux tube modes.

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“…Within this approach the quark-antiquark potential and the width of the flux tube have been studied numerically in SU(N) gauge theories, both at T = 0 and at T < T c , in many papers [48][49][50][51][52][53][54].…”

Section: Introductionmentioning

confidence: 99%

Flux tubes in the QCD vacuum

et al. 2017

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The hypothesis that the QCD vacuum can be modeled as a dual superconductor is a powerful tool to describe the distribution of the color field generated by a quark-antiquark static pair and, as such, can provide useful clues for the understanding of confinement. In this work we investigate, by lattice Monte Carlo simulations of the SU (3) pure gauge theory and of (2+1)-flavor QCD with physical mass settings, some properties of the chromoelectric flux tube at zero temperature and their dependence on the physical distance between the static sources. We draw some conclusions about the validity domain of the dual superconductor picture.

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Linear broadening of the confining string in Yang-Mills theory at low temperature

Cited by 29 publications

References 38 publications

Width of the flux tube in compact U(1) gauge theory in three dimensions

Width of the flux tube in compact U(1) gauge theory in three dimensions

Closed flux tubes and their string description in D=2+1 SU(N) gauge theories

Flux tubes in the QCD vacuum

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