GLUON CONDENSATE POTENTIALS

In the usual holographic approach to QCD, the meson spectrum is generated due to a nontrivial five-dimensional background. We propose an alternative five-dimensional scenario in which the spectrum emerges due to coupling to a scalar field whose condensation is supposed to be dual to the formation of gluon condensate and mimics the scale anomaly in QCD. The spectrum of model has finite number of discrete states plus continuum and reveals a Regge-like behavior in the strong coupling regime.

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Correlations and Critical Behavior in Lattice Gluodynamics

EPJ Web of Conferences ◽

10.1051/epjconf/202225802010 ◽

2022 ◽

Vol 258 ◽

pp. 02010

Author(s):

Vitaly Bornyakov ◽

Vladimir Goy ◽

Evgeny Kozlovsky ◽

Valentin Mitrjushkin ◽

Roman Rogalyov

Keyword(s):

Regression Analysis ◽

Temperature Dependence ◽

Critical Behavior ◽

Gluon Condensate ◽

Landau Gauge ◽

Polyakov Loop ◽

The Asymmetry

In the Landau-gauge lattice gluodynamics we find that, both in the SU(2) and SU(3) theory, a correlation of the Polyakov loop with the asymmetry of the A2 gluon condensate as well as with the longitudinal propagator makes it possible to determine the critical behavior of these quantities. We discuss finitevolume corrections and reveal that they can be reduced by the use of regression analysis. We also analyze the temperature dependence of low-momenta propagators in different Polyakov-loop sectors.

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Determination of the Gluon Condensate

SpringerBriefs in Physics - Quantum Chromodynamics Sum Rules ◽

10.1007/978-3-319-97722-5_8 ◽

2018 ◽

pp. 45-58

Author(s):

Cesareo A. Dominguez

Keyword(s):

Gluon Condensate

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Renormalon-free definition of the gluon condensate within the large-$\beta_0$ approximation

Progress of Theoretical and Experimental Physics ◽

10.1093/ptep/ptz100 ◽

2019 ◽

Vol 2019 (10) ◽

Cited By ~ 1

Author(s):

Hiroshi Suzuki ◽

Hiromasa Takaura

Keyword(s):

Operator Product Expansion ◽

Density Operator ◽

Gradient Flow ◽

Gluon Condensate ◽

Operator Product ◽

Clear Definition ◽

Lattice Data ◽

Perturbative Calculation ◽

Yang Mills ◽

Definition Of

Abstract We propose a clear definition of the gluon condensate within the large-$\beta_0$ approximation as an attempt toward a systematic argument on the gluon condensate. We define the gluon condensate such that it is free from a renormalon uncertainty, consistent with the renormalization scale independence of each term of the operator product expansion (OPE), and an identical object irrespective of observables. The renormalon uncertainty of $\mathcal{O}(\Lambda^4)$, which renders the gluon condensate ambiguous, is separated from a perturbative calculation by using a recently suggested analytic formulation. The renormalon uncertainty is absorbed into the gluon condensate in the OPE, which makes the gluon condensate free from the renormalon uncertainty. As a result, we can define the OPE in a renormalon-free way. Based on this renormalon-free OPE formula, we discuss numerical extraction of the gluon condensate using the lattice data of the energy density operator defined by the Yang–Mills gradient flow.

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