Confining Strings at High Temperature

Diamantini, M. C.; Trugenberger, Carlo A.

doi:10.1088/1126-6708/2002/04/032

Cited by 7 publications

(5 citation statements)

References 25 publications

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“…In the following we will consider the confining string model at finite temperatures in the large D approximation. In [33] it was shown that the high temperature limit behaviour of confining strings matches the expected high-temperature behaviour of large N QCD [35]. Here we will, instead, concentrate on the critical behaviour at the deconfinement transition, where the renormalised string tension vanishes and strings become infinitely long on the cutoff scale.…”

Section: Confining Stringsmentioning

confidence: 92%

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Vogel-Fulcher-Tamman criticality of 3D superinsulators

Diamantini

Gammaitoni

Trugenberger

et al. 2018

Sci Rep

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It has been believed that the superinsulating state, which is the low-temperature charge Berezinskii-Kosterlitz-Thouless (BKT) phase, can exist only in two dimensions. We develop a general gauge description of the superinsulating state and the related deconfinement transition of Cooper pairs and predict the existence of the superinsulating state in three dimensions (3d). We find that 3d superinsulators exhibit Vogel-Fulcher-Tammann (VFT) critical behavior at the phase transition. This is the 3d string analog of the Berezinski-Kosterlitz-Thouless (BKT) criticality for logarithmically and linearly interacting point particles in 2d. Our results show that singular exponential scaling behaviors of the BKT type are generic for phase transitions associated with the condensation of topological excitations.

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Section: Confining Stringsmentioning

confidence: 92%

“…Their world-sheet formulation is thus in term of a non-local, long-range interaction between surface elements [32]. Best suited to derive physical and geometric properties of these strings, however is the corresponding derivative expansion truncated to a certain level n [33] (we use natural units c = 1, = 1),…”

Section: Confining Stringsmentioning

confidence: 99%

Vogel-Fulcher-Tamman criticality of 3D superinsulators

Diamantini

Gammaitoni

Trugenberger

et al. 2018

Sci Rep

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“…As a final remark on this issue, let us stress that the rigid string shows a pretty different behaviour depending on the sign of the extrinsic curvature term. An EST with negative extrinsic curvature was proposed more than twenty years ago in [162][163][164] and was subsequently thoroughly studied in [153,154,[165][166][167][168]. Despite the apparent instability due to the negative sign of the curvature term, it can be shown that the string is stabilized by higher order terms in the derivative expansion [165] (for a review, see for instance [153]).…”

mentioning

confidence: 99%

“…Despite the apparent instability due to the negative sign of the curvature term, it can be shown that the string is stabilized by higher order terms in the derivative expansion [165] (for a review, see for instance [153]). In particular, as far as the topic of this review is concerned, the high temperature behaviour of the model was studied in detail in [166,167] and, also in this case, it would be very interesting to test these prediction with high precision Monte Carlo data for non-abelian LGTs.…”

mentioning

confidence: 99%

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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“…This is in contrast with the previous proposals when the extrinsic curvature term is a dimensionless functional S(extrinsic curvature) ∝ 1, invariant only under rigid scale transformations 4. See also subsequent publications[13,14,15,16,17,18] …”

mentioning

confidence: 99%

Weyl invariant gonihedric strings

Savvidy

Manvelyan

2002

Physics Letters B

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We study quantum corrections in the earlier proposed string theory, which is based on Weyl invariant purely extrinsic curvature action. At one-loop level it remains Weyl invariant irrespective of the dimension D of the embedding spacetime. To some extent the counterterms are reminiscent of the ones in pure quantum gravity. At classical level the string tension is equal to zero and quarks viewed as open ends of the surface are propagating freely without interaction. We demonstrate that quantum fluctuations generate nonzero area term (string tension).1

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Confining Strings at High Temperature

Abstract: We show that the high-temperature behaviour of the recently proposed confining strings reproduces exactly the correct large-N QCD result, for a large class of truncations of the long-range interaction between surface elements.

Cited by 7 publications

References 25 publications

Vogel-Fulcher-Tamman criticality of 3D superinsulators

Vogel-Fulcher-Tamman criticality of 3D superinsulators

Effective String Description of the Confining Flux Tube at Finite Temperature

Weyl invariant gonihedric strings

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