Pressure and interaction measure of the gluon plasma

Antonov, Dmitri; Pirner, Hans J.; Schmidt, Michael G.

doi:10.1016/j.nuclphysa.2009.11.001

Cited by 10 publications

(16 citation statements)

References 45 publications

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“…In the purely spatial 3-dimensional case, the minimal surface can naturally be built out of infinitely thin segments, so that its area reads [6]. Clearly, this is just an area of the surface formed by a rotating rod of a variable length.…”

Section: A a Simple Ansatz For The Minimal Area Of The Wilson Loopmentioning

confidence: 99%

Quantifying zigzag motion of quarks

Antonov

Ribeiro

2010

Phys. Rev. D

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The quark condensate is calculated in terms of the effective string tension and the constituent quark mass. For 3 colors and 2 light flavors, the constituent mass is bounded from below by the value of 460 MeV. This value is only accessible when the string tension decreases linearly with the Schwinger proper time. For this reason, the Hausdorff dimension of a light-quark trajectory is equal to 4, indicating that these trajectories are similar to branched polymers, which can describe a weak first-order deconfinement phase transition in SU(3) Yang-Mills theory. Using this indication, we develop a gluon-chain model based on such trajectories.Comment: 27 pages, 5 figure

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Section: A a Simple Ansatz For The Minimal Area Of The Wilson Loopmentioning

confidence: 99%

Quantifying zigzag motion of quarks

Antonov

Ribeiro

2010

Phys. Rev. D

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“…[26][27][28][29][30]. Alternative descriptions of the sQGP phenomenology are based on various types of effective degrees of freedom [12,[31][32][33][34][35].…”

Section: Introductionmentioning

confidence: 99%

Thermodynamics of the QCD Plasma and the Large-NLimit

2009

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The equilibrium thermodynamic properties of the SU(N) plasma are studied nonperturbatively in the large-N limit, via high-precision lattice simulations at temperatures from 0.8T(c) to 3.4T(c) (T(c) being the critical deconfinement temperature). Our results for SU(N) Yang-Mills theories with N=3, 4, 5, 6, and 8 colors show a very mild dependence on N, supporting the idea that the QCD plasma could be described by models based on the large-N limit. We compare our data with various theoretical descriptions, including, in particular, the improved holographic QCD model proposed by Kiritsis and collaborators. We also comment on the relevance of an AdS/CFT description in a phenomenologically interesting temperature range where the system, while still strongly coupled, becomes approximately scale invariant. Finally, we extrapolate our results to the N --> infinity limit.

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“…For our analysis, we will use the method developed in Refs. [88,89]. We start with representing the partition function of the finite-temperature Euclidean Yang-Mills theory in the form…”

Section: Free Energy Of the Gluon Plasma In The High-temperature Limitmentioning

confidence: 99%

“…[77] to provide the full calculation of the world-line integrals, which represent those Green functions. Such a calculation turns out to be possible by virtue of an effective parametrization of minimal areas swept out by the strings in the gluelumps, analogous to Equation (89). Furthermore, in Appendix C, we calculate the Green function of the one-gluon gluelump for the case where the heavy adjoint source evolves along a trajectory which deviates from the straight-line one.…”

Section: Correlation Lengths Of the Stochastic Yang-mills Fieldsmentioning

confidence: 99%

World-Line Formalism: Non-Perturbative Applications

Bellettre

2016

Universe

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This review addresses the impact on various physical observables which is produced by confinement of virtual quarks and gluons at the level of the one-loop QCD diagrams. These observables include the quark condensate for various heavy flavors, the Yang-Mills running coupling with an infra-red stable fixed point, and the correlation lengths of the stochastic Yang-Mills fields. Other non-perturbative applications of the world-line formalism presented in the review are devoted to the determination of the electroweak phase-transition critical temperature, to the derivation of a semi-classical analogue of the relation between the chiral and the gluon QCD condensates, and to the calculation of the free energy of the gluon plasma in the high-temperature limit. As a complementary result, we demonstrate Casimir scaling of k-string tensions in the Gaussian ensemble of the stochastic Yang-Mills fields.Keywords: the world-line formalism; Wilson loops; analytic calculations of path integrals with the minimal-area surfaces; theoretical foundations of the stochastic vacuum model; confinement and chiral-symmetry breaking in QCD; gluonic bound states; Casimir scaling; the Yang-Mills running coupling; thermodynamics of the gluon plasma; electroweak phase transition Quark Condensate for Various Heavy FlavorsAs is well known, because of confinement in QCD, quarks and gluons do not exist as individual particles, but appear only in the form of bound states (for recent reviews, see [1,2]). The latter include mesons, baryons (as well as other possible quark bound states, such as tetra-and pentaquarks), glueballs, and the so-called hybrids consisting of a quark, an antiquark, and one or several gluons. Each bound state can be represented as an average of a certain operator over the Euclidean QCD vacuum. Since the vacuum state is gauge-invariant, only the gauge-invariant operators yield non-vanishing results once averaged over it. (This statement can be viewed as a corollary of the so-called Elitzur theorem [3,4], which states that a local gauge symmetry cannot be broken spontaneously.) For local composite operators, such asψψ or (F a µν ) 2 , gauge invariance holds automatically, and the mean values of these operators yield the QCD condensates [5,6]. Nevertheless, the quark and the gluon bound states are in general represented by the field operators which are defined at different points of the Euclidean space, so that a phase factor (also called a parallel transporter or a Schwinger string) interpolating between these points is required in order to provide gauge invariance of the full non-local operator. That is, the non-local gauge-invariant operators have, e.g., the formψ i (x)Φ ij xxwhere Φ ij xx and Φ ab xx are the phase factors transforming under the fundamental and the adjoint representations of SU(N), respectively, with i, j = 1, . . . , N and a, b = 1, . . . , N 2 − 1. (Throughout this review, we denote the number of colors by N.) Thus, the phase factors provide long-range correlations of color between individual quark...

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Pressure and interaction measure of the gluon plasma

Cited by 10 publications

References 45 publications

Quantifying zigzag motion of quarks

Quantifying zigzag motion of quarks

Thermodynamics of the QCD Plasma and the Large-NLimit

World-Line Formalism: Non-Perturbative Applications

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