Gluon condensates and effective gluon mass

Horák, Jan; Ihssen, Friederike; Papavassiliou, Joannis; Pawlowski, Jan M.; Weber, Axel; Wetterich, C.

doi:10.48550/arxiv.2201.09747

Cited by 7 publications

(9 citation statements)

References 100 publications

(161 reference statements)

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“…An appealing scenario discussed in functional approaches is the dynamical emergence of the gluonic mass gap via the Schwinger mechanism [77][78][79][80][81], for more recent works see e.g. [56,[82][83][84], or gluon condensation, see [85]. In the present work we consider the decoupling solution with the smallest dynamically created effective gluon mass m 2 ⊥,kmin indicated by the blue square data point in Figure 6.…”

Section: E Confinementmentioning

confidence: 99%

On Gauge Consistency In Gauge-Fixed Yang-Mills Theory

Pawlowski¹,

Schneider²,

Wink³

2022

Preprint

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We investigate BRST invariance in Landau gauge Yang-Mills theory with functional methods. To that end, we solve the coupled systems of functional renormalisation group for the momentumdependent ghost and gluon propagator, ghost-gluon, and three-and four-gluon vertex dressings. The equations for both, transverse and longitudinal correlation functions are solved self-consistently: all correlation functions are fed back into the loops. Additionally, we also use the Slavnov-Taylor identities for computing the longitudinal correlation functions on the basis of the above results. Then, the gauge consistency of the solutions is checked by comparing the respective longitudinal correlation functions. We find good agreement of these results, hinting at the gauge consistency of our setup.

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Section: E Confinementmentioning

confidence: 99%

On Gauge Consistency In Gauge-Fixed Yang-Mills Theory

Pawlowski¹,

Schneider²,

Wink³

2022

Preprint

Self Cite

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“…Significant progresses have been made in relevant studies, see [55] for a recent overview, and also e.g. [70,108,[201][202][203][204][205][206][207][208][209][210][211][212][213][214][215][216].…”

Section: Qcd At Finite Temperature and Densitymentioning

confidence: 99%

QCD at finite temperature and density within the fRG approach: An overview

2022

Preprint

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In this paper we present an overview on recent progress in studies of QCD at finite temperature and densities within the functional renormalization group (fRG) approach. The fRG is a nonperturbative continuum field approach, in which quantum, thermal and density fluctuations are integrated in successively with the evolution of the renormalization group (RG) scale. The fRG results for the QCD phase structure and the location of the critical end point (CEP), the QCD equation of state (EoS), the magnetic EoS, baryon number fluctuations confronted with recent experimental measurements, various critical exponents, spectral functions in the critical region, the dynamical critical exponent, etc., are presented. Recent estimates of the location of the CEP from first-principle QCD calculations within fRG and Dyson-Schwinger Equations, which passes through lattice benchmark tests at small baryon chemical potentials, converge in a rather small region at baryon chemical potentials of about 600 MeV. A region of inhomogeneous instability indicated by a negative wave function renormalization is found with µB 420 MeV. It is found that the non-monotonic dependence of the kurtosis of the net-proton number distributions on the beam collision energy observed in experiments, could arise from the increasingly sharp crossover in the regime of low collision energy.

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“…In fact, A 2 min = A h A h , see the discussion below (5). Other approaches in which (dynamical) gluon mass scales played a role are, for example, [19,23,30,61,[83][84][85][86][87][88][89][90][91][92][93].…”

Section: B Including the Polyakov Loopmentioning

confidence: 99%

Polyakov loop, gluon mass, gluon condensate and its asymmetry near deconfinement

Dudal,

van Egmond,

Reinosa

et al. 2022

Preprint

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We consider a BRST invariant generalization of the "massive background Landau gauge", resembling the original Curci-Ferrari model that saw a revived interest due to its phenomenological success in modeling infrared Yang-Mills dynamics, including that of the phase transition. Unlike the Curci-Ferrari model, however, the mass parameter is no longer a phenomenological input but it enters as a result of dimensional transmutation via a BRST invariant dimension two gluon condensate. The associated renormalization constant is dealt with using Zimmermann's reduction of constants program which fixes the value of the mass parameter to values close to those obtained within the Curci-Ferrari approach. Using a self-consistent background field, we can include the Polyakov loop and probe the deconfinement transition, including its interplay with the condensate and its electric-magnetic asymmetry. We report a continuous phase transition at Tc ≈ 0.230 GeV in the SU(2) case and a first order one at Tc ≈ 0.164 GeV in the SU(3) case, values which are again rather close to those obtained within the Curci-Ferrari model at one-loop order.

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Gluon condensates and effective gluon mass

Cited by 7 publications

References 100 publications

On Gauge Consistency In Gauge-Fixed Yang-Mills Theory

On Gauge Consistency In Gauge-Fixed Yang-Mills Theory

QCD at finite temperature and density within the fRG approach: An overview

Polyakov loop, gluon mass, gluon condensate and its asymmetry near deconfinement

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