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

Brandt, Bastian B.

doi:10.22323/1.336.0039

Cited by 8 publications

(13 citation statements)

References 40 publications

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“…This is a classical contribution (from the point of view of the effective action) to the quark-antiquark potential. 5 Note that while the exponential correction looks somewhat similar to the contributions from a rigidity term [61][62][63] (see [64,65] for recent lattice calculations in 2 + 1 dimensions), those would be suppressed at strong 't Hooft coupling, and the coefficient of the exponential would decrease at long separations as ∼ 1/L 1/2 , unlike the contribution we have identified. Therefore, this new contribution cannot be explained in terms of an effective action of the flux tube with massless transverse modes alone, it involves massive modes that have not been yet observed but should be present in any confining gauge/gravity dual qualitatively similar to the known examples.…”

Section: Jhep04(2019)134mentioning

confidence: 51%

Effective long distance $$ q\overline{q} $$ potential in holographic RG flows

Casalderrey-Solana

Gutiez

Hoyos

2019

J. High Energ. Phys.

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We study the qq potential in strongly coupled non-conformal field theories with a non-trivial renormalization group flow via holography. We focus on the properties of this potential at an inter-quark separation L large compared to the characteristic scale of the field theory. These are determined by the leading order IR physics plus a series of corrections, sensitive to the properties of the RG-flow. To determine those corrections, we propose a general method applying holographic Wilsonian renormalization to a dual string. We apply this method to examine in detail two sets of examples, 3 + 1-dimensional theories with an RG flow ending in an IR fixed point; and theories that are confining in the IR, in particular, the Witten QCD and Klebanov-Strassler models. In both cases, we find corrections with a universal dependence on the inter-quark separation. When there is an IR fixed point, that correction decays as a power ∼ 1/L 4. We explain that dependence in terms of a double-trace deformation in a one-dimensional defect theory. For a confining theory, the decay is exponential ∼ e −M L , with M a scale of the order of the glueball mass. We interpret this correction using an effective flux tube description as produced by a background internal mode excitation induced by sources localized at the endpoints of the flux tube. We discuss how these results could be confronted with lattice QCD data to test whether the description of confinement via the gauge/gravity is qualitatively correct.

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Section: Jhep04(2019)134mentioning

confidence: 51%

Effective long distance $$ q\overline{q} $$ potential in holographic RG flows

Casalderrey-Solana

Gutiez

Hoyos

2019

J. High Energ. Phys.

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“…In order to compare the continuum approach of the two theories we have performed simulations at four β-values for WPG for which high-precision results for the quark-antiquark potential are available [20][21][22][23][24][25][26], i.e., β = 5.0, 7.5, 10.0, and 12.5. For the simulations of IPG we have estimated the interesting range of couplings via the expectation value of the plaquette.…”

Section: Numerical Results For the Matchingmentioning

confidence: 99%

“…The parameterb 2 in eq. (4.1) is the leading-order boundary coefficient [30,31], which has been found to be non-universal [25,26]. In the spectrum, possible corrections to the standard EST energy levels, such as the rigidity term, first proposed by Polyakov [34], and corrections due to massive modes [32,33], have been left out.…”

Section: Effective String Theory and Analysis Strategymentioning

confidence: 99%

Induced QCD II: numerical results

Brandt

Lohmayer

Wettig

2019

J. High Energ. Phys.

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We numerically explore an alternative discretization of continuum SU(N c) Yang-Mills theory on a Euclidean spacetime lattice, originally introduced by Budzcies and Zirnbauer for gauge group U(N c). This discretization can be reformulated such that the self-interactions of the gauge field are induced by a path integral over N b auxiliary bosonic fields, which couple linearly to the gauge field. In the first paper of the series we have shown that the theory reproduces continuum SU(N c) Yang-Mills theory in d = 2 dimensions if N b is larger than N c − 3 4 and conjectured, following the argument of Budzcies and Zirnbauer, that this remains true for d > 2. In the present paper, we test this conjecture by performing lattice simulations of the simplest nontrivial case, i.e., gauge group SU(2) in three dimensions. We show that observables computed in the induced theory, such as the static qq potential and the deconfinement transition temperature, agree with the same observables computed from the ordinary plaquette action up to lattice artifacts. We also find evidence that the bound for N b can be relaxed to N c − 5 4 as conjectured in our earlier paper. Studies of how the new discretization can be used to change the order of integration in the path integral to arrive at dual formulations of QCD are left for future work.

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“…Recent high precision Monte Carlo simulations [82][83][84][85][86] allowed to estimate b 2 for a few LGTs with remarkable precision. For the SU(2) model in (2 + 1) dimensions a boundary correction was estimated even for the first string excitations [86].…”

Section: Beyond Nambu-goto: the Boundary Termmentioning

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

Cited by 8 publications

References 40 publications

Effective long distance $$ q\overline{q} $$ potential in holographic RG flows

Effective long distance $$ q\overline{q} $$ potential in holographic RG flows

Induced QCD II: numerical results

Effective String Description of the Confining Flux Tube at Finite Temperature

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