Effective string description of confining flux tubes

Brandt, Bastian B.; Meineri, Marco

doi:10.1142/s0217751x16430016

Cited by 49 publications

(67 citation statements)

References 188 publications

(208 reference statements)

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“…A recent collection of results can be found in Ref. [14]. All of the results so far have shown remarkable agreement with the predictions from the EST down to comparably small values of √ σ R ≈ 1.2−1.5.…”

Section: Introductionsupporting

confidence: 64%

Spectrum of the open QCD flux tube and its effective string description

Brandt¹

2019

Proceedings of XIII Quark Confinement and the Hadron Spectrum — PoS(Confinement2018)

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I perform a high precision measurement of the static quark-antiquark potential in threedimensional SU(N) gauge theory with N = 2 to 6. The results are compared to the effective string theory for the QCD flux tube and I obtain continuum limit results for the string tension and the non-universal leading order boundary coefficient, including an extensive analysis of all types of systematic uncertainties. The magnitude of the boundary coefficient decreases with increasing N, but remains non-vanishing in the large-N limit. I also test for the presence of possible contributions from rigidity or massive modes and compare the results for the string theory parameters to data for the excited states.

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Section: Introductionsupporting

confidence: 64%

Spectrum of the open QCD flux tube and its effective string description

Brandt¹

2019

Proceedings of XIII Quark Confinement and the Hadron Spectrum — PoS(Confinement2018)

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“…Large -N QCD is believed to be some sort of tree-level string theory. Moreover, lattice simulations [21,22] and the expansion of the effective theory of long strings [23,24] indicate that this string theory should be rather close to the NambuGoto string. The first term in our sum corresponds to such a string.…”

Section: Jhep04(2017)151mentioning

confidence: 95%

A model for pion-pion scattering in large-N QCD

Veneziano

Yankielowicz

Onofri

2017

J. High Energ. Phys.

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Following up on recent work by Caron-Huot et al. we consider a generalization of the old Lovelace-Shapiro model as a toy model for ππ scattering satisfying (most of) the properties expected to hold in ('t Hooft's) large-N limit of massless QCD. In particular, the model has asymptotically linear and parallel Regge trajectories at positive t, a positive leading Regge intercept α 0 < 1, and an effective bending of the trajectories in the negative-t region producing a fixed branch point at J = 0 for t < t 0 < 0. Fixed (physical) angle scattering can be tuned to match the power-like behavior (including logarithmic corrections) predicted by perturbative QCD: A(s, t) ∼ s −β log(s) −γ F (θ). Tree-level unitarity (i.e. positivity of residues for all values of s and J) imposes strong constraints on the allowed region in the α 0 -β-γ parameter space, which nicely includes a physically interesting region around α 0 = 0.5, β = 2 and γ = 3. The full consistency of the model would require an extension to multi-pion processes, a program we do not undertake in this paper.

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“…We feel that research on this topic may clarify important aspects concerning the appearance of singularities in effective QFT, and hopefully be useful in the effective string framework. It is well known that the flux tube spectrum is very well approximated, at relative large inter-quark separation, by the formula (2.12) or by its open-string analogous, but deviations are observed at intermediate length scales (see, for example [55] for a nice up-to-date compact review). Particularly interesting is the idea that also massive excitations could propagate on the flux-tube.…”

Section: Jhep10(2016)112 9 Conclusionmentioning

confidence: 99%

“…In particular, a universal deviation from the spectrum (2.12) is observed at order O(1/R 5 ) (for the excited states), when the string is quantized preserving target-space Lorentz invariance [57] (see also [55,58,59] for reviews). For this reason, we find remarkable that within the current setup, a direct correspondence between the spectrum (2.12) and the Nambu-Goto action written in static gauge is established in an arbitrary dimension.…”

Section: Jhep10(2016)112mentioning

confidence: 99%

T T ¯ $$ \mathrm{T}\overline{\mathrm{T}} $$ -deformed 2D quantum field theories

Cavaglià

Negro

Szécsényi

et al. 2016

J. High Energ. Phys.

364

540

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It was noticed many years ago, in the framework of massless RG flows, that the irrelevant composite operator TT, built with the components of the energy-momentum tensor, enjoys very special properties in 2D quantum field theories, and can be regarded as a peculiar kind of integrable perturbation. Novel interesting features of this operator have recently emerged from the study of effective string theory models.In this paper we study further properties of this distinguished perturbation. We discuss how it affects the energy levels and one-point functions of a general 2D QFT in finite volume through a surprising relation with a simple hydrodynamic equation. In the case of the perturbation of CFTs, adapting a result by Lüscher and Weisz we give a compact expression for the partition function on a finite-length cylinder and make a connection with the exact g-function method. We argue that, at the classical level, the deformation naturally maps the action of N massless free bosons into the Nambu-Goto action in static gauge, in N + 2 target space dimensions, and we briefly discuss a possible interpretation of this result in the context of effective string models.

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Effective string description of confining flux tubes

Cited by 49 publications

References 188 publications

Spectrum of the open QCD flux tube and its effective string description

Spectrum of the open QCD flux tube and its effective string description

A model for pion-pion scattering in large-N QCD

T T ¯ $$ \mathrm{T}\overline{\mathrm{T}} $$ -deformed 2D quantum field theories

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