On the relation between the width of the flux tube and Tc−1 in lattice gauge theories

Caselle, Michele; Gliozzi, F.; Vinti, S.

doi:10.1016/0920-5632(94)90361-1

Cited by 5 publications

(15 citation statements)

References 10 publications

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“…As we mentioned in the Introduction the string tension extracted from such correlators is different from the actual string tension of the model (which is instead extracted from timelike Polyakov loop correlators) and is denoted as "spacelike" string tension to avoid confusion. At low temperature, i.e., for large values of L in our setting, the two string tensions coincide but as the temperature increases they behave in a different way [1][2][3][4][5]. The ordinary string tension decreases as the deconfinement temperature is approached and vanishes at the deconfinement point, while the spacelike one remains constant and instead of vanishing it increases in the deconfined phase [1][2][3].…”

Section: F Relation To the Spacelike String Tension In Lgtmentioning

confidence: 78%

“…It is natural to expect the relation between TT perturbed models and the Nambu-Goto effective action to hold also in 5 Often in the literature the coupling constant is defined as g ¼ 2πσ.…”

Section: The Partition Function Of the Tt Perturbed Theorymentioning

confidence: 99%

“…Due to their spacelike nature these Polyakov loops do not play the role of the order parameter of deconfinement and the spacelike [13][14][15][16] string tension extracted from them is different from the actual string tension of the model, which is instead extracted from timelike Polyakov loop correlators. At low temperature the two string tensions coincide but as the temperature increases they behave differently [1][2][3][4][5]. The ordinary string tension decreases as the deconfinement temperature is approached and vanishes at the deconfinement point, while the spacelike one remains constant and then increases in the deconfined phase [1][2][3].…”

Section: Introductionmentioning

confidence: 97%

“…An interesting open issue in lattice gauge theory is to understand and model the behavior of the so-called "spacelike string tension" [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16] across the deconfinement transition. The spacelike string tension is extracted from the correlator of spacelike Polyakov loops, i.e., Polyakov loops which lay in a spacelike plane, orthogonal to the compact time direction, whose size coincides with the inverse finite temperature of the theory.…”

Section: Introductionmentioning

confidence: 99%

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TT¯ deformation of the compactified boson and its interpretation in lattice gauge theory

2020

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We study the effective string description of spacelike Polyakov loop correlators at finite temperature with the goal of describing the behavior of the spacelike string tension in the vicinity of the deconfinement transition. To this end we construct the partition function of the Nambu-Goto effective string theory in presence of a compact transverse direction of length L equal to the inverse temperature. We then show that, under particular conditions, our result can be interpreted as the partition function of the TT deformation of the 2d quantum field theory describing a compactified bosonic field and that this mapping allows a deeper insight on the behavior of the spacelike observables of the theory. In particular we show, by imposing that the spectrum of the model obeys the inviscid Burgers equation, that the TT deformations follow welldefined trajectories in the parameter space ðσ; LÞ of the model, where σ is the string tension, which are characterized by a constant value of the dimensionless compactification radius ρ ¼ L ffiffiffiffiffiffiffiffiffiffi σ=2π p. We discuss the potential usefulness of these results for studying the spacelike string tension of the underlying lattice gauge theory and its behavior across the deconfinement transition.

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Section: F Relation To the Spacelike String Tension In Lgtmentioning

confidence: 78%

Section: The Partition Function Of the Tt Perturbed Theorymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 97%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

TT¯ deformation of the compactified boson and its interpretation in lattice gauge theory

2020

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“…Our aim is to investigate the effect on the spectrum of the QCD string (for a review, see [1]) of periodic transverse dimensions ( [2]; see [3] for earlier work on the subject). On the one hand it is important to know the magnitude of the finite-size effects on the string spectrum in lattice simulations.…”

Section: Introductionmentioning

confidence: 99%

Kosterlitz-Thouless transition on the worldsheet of the QCD string

Meyer¹

2005

Proceedings of XXIIIrd International Symposium on Lattice Field Theory — PoS(LAT2005)

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We investigate the properties of the QCD string in the Euclidean SU(N) pure gauge theory when the space-time dimensions transverse to it are periodic. We propose a generalisation of the Lüscher-Weisz effective string action for the flux-tube energy levels at finite L¡ . As the size of one transverse dimension is varied, we predict a Kosterlitz-Thouless transition of the worldsheet field theory at σ

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Effective String Description of the Confining Flux Tube at Finite Temperature

Caselle

2021

Universe

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In this review, after a general introduction to the effective string theory (EST) description of confinement in pure gauge theories, we discuss the behaviour of EST as the temperature is increased. We show that, as the deconfinement point is approached from below, several universal features of confining gauge theories, like the ratio Tc/σ0, the linear increase of the squared width of the flux tube with the interquark distance, or the temperature dependence of the interquark potential, can be accurately predicted by the effective string. Moreover, in the vicinity of the deconfinement point the EST behaviour turns out to be in good agreement with what was predicted by conformal invariance or by dimensional reduction, thus further supporting the validity of an EST approach to confinement.

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On the relation between the width of the flux tube and Tc−1 in lattice gauge theories

Cited by 5 publications

References 10 publications

TT¯ deformation of the compactified boson and its interpretation in lattice gauge theory

TT¯ deformation of the compactified boson and its interpretation in lattice gauge theory

Kosterlitz-Thouless transition on the worldsheet of the QCD string

Effective String Description of the Confining Flux Tube at Finite Temperature

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