Lattice QCD at Finite Temperature

Karsch, Frithjof

doi:10.1007/978-94-010-0267-7_12

Cited by 3 publications

(4 citation statements)

References 29 publications

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“…(4.7) is easily solved with the help of the Green's functions introduced above. Using the retarded Green's function (4.3) one gets: 10) or, in matrix notations,…”

Section: The Induced Colour Currentmentioning

confidence: 99%

“…But the most compelling theoretical evidences for the existence of the quark-gluon plasma are coming from lattice gauge calculations (for recent reviews see e.g. [9,10,11]). These are at present the unique tools allowing a detailed study of the transition region where various interesting phenomena are taking place, such as colour deconfinement or chiral symmetry restoration.…”

Section: Introductionmentioning

confidence: 99%

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The quark–gluon plasma: collective dynamics and hard thermal loops

Blaizot¹,

Iancu²

2002

Physics Reports

511

714

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We present a unified description of the high temperature phase of QCD, the so-called quark-gluon plasma, in a regime where the effective gauge coupling g is sufficiently small to allow for weak coupling calculations. The main focuss is the construction of the effective theory for the collective excitations which develop at a typical scale gT , which is well separated from the typical energy of single particle excitations which is the temperature T . We show that the short wavelength thermal fluctuations, i.e., the plasma particles, provide a source for long wavelength oscillations of average fields which carry the quantum numbers of the plasma constituents, the quarks and the gluons. To leading order in g, the plasma particles obey simple gauge-covariant kinetic equations, whose derivation from the general Dyson-Schwinger equations is outlined. By solving these equations, we effectively integrate out the hard degrees of freedom, and are left with an effective theory for the soft collective excitations. As a by-product, the "hard thermal loops" emerge naturally in a physically transparent framework. We show that the collective excitations can be described in terms of classical fields, and develop for these a Hamiltonian formalism. This can be used to estimate the effect of the soft thermal fluctuations on the correlation functions. The effect of collisions among the hard particles is also studied. In particular we discuss how the collisions affect the lifetimes of quasiparticle excitations in a regime where the mean free path is comparable with the range of the relevant interactions. Collisions play also a decisive role in the construction a Member of CNRS. E-mail: blaizot@spht.saclay.cea.fr b Member of CNRS. E-mail: iancu@spht.saclay.cea.fr c Laboratoire de la Direction des Sciences de la Matière du Commissariatà l'Energie Atomique of the effective theory for ultrasoft excitations, with momenta ∼ g 2 T , a topic which is briefly addressed at the end of this paper.

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“…(4.7) is easily solved with the help of the Green's functions introduced above. Using the retarded Green's function (4.3) one gets: 10) or, in matrix notations,…”

Section: The Induced Colour Currentmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

The quark–gluon plasma: collective dynamics and hard thermal loops

Blaizot¹,

Iancu²

2002

Physics Reports

511

714

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“…The aforementioned behavior of a = a(t) was to ensure in the simplest way that T [61]). We may now compare with results of lattice QCD calculations, in the "low temperature" sector, as reported in [3].…”

Section: Examining the Low Temperature Region T < T Cmentioning

confidence: 99%

The QCD trace anomaly at strong coupling from M-theory

Misra

Gale

2020

Eur. Phys. J. C

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Obtaining a lattice-consistent result for the temperature dependence of the QCD conformal anomaly from a top-down M-theory dual (valid) for all temperatures – both, $$T<T_c$$T<Tc and $$T>T_c$$T>Tc – of thermal QCD at intermediate gauge coupling, has been missing in the literature. We fill this gap by addressing this issue from the M-theory uplift of the SYZ type IIA mirror at intermediate gauge/string coupling [both obtained in Dhuria et al. (JHEP 1311:001, 2013)] of the UV-complete type IIB holographic dual of large-N thermal QCD of Mia et al. (Nucl Phys B 839:187, 2010), and comparing with the very recent lattice results of Bazavov et al. (Phys Rev D 97(1):014510, 2018). Estimates of the $$\mathcal{O}(R^4)$$O(R4) higher derivative corrections in the $$D=11$$D=11 supergravity action relevant to considering the aforementioned M theory uplift in the intermediate ’t Hooft coupling (in addition to gauge coupling) limit, are also presented. We also show that after a tuning of the (small) Ouyang embedding parameter and radius of a blown-up $$S^2$$S2 when expressed in terms of the horizon radius, a QCD deconfinement temperature $$T_c=150$$Tc=150 MeV from a Hawking–Page phase transition at vanishing baryon chemical potential consistent with lattice QCD in the heavy-quark limit, can be obtained.

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“…The aforementioned behavior of a = a( t) was to ensure in the simplest way that T µ µ (T = 0) = 0 (as T µ µ (T ) = G µν G µν (T = 0) − G µν G µν (T ) [49]). We may now compare with results of lattice QCD calculations, in the "low temperature" sector, as reported in Ref.…”

Section: Examining the Low Temperature Region T < T Cmentioning

confidence: 99%

The QCD Trace Anomaly at Strong Coupling from M-Theory

Misra,

Gale

2019

Preprint

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In this short note we address the issue of obtaining the temperature dependence of the QCD conformal anomaly from a top-down holographic dual consistent with very recent lattice results for both, T < T c and T > T c . As the holographic dual, we use the M-theory uplift of the SYZ type IIA mirror obtained in [1] at finite gauge/string coupling (as part of the 'MQGP' limit) of the type IIB holographic dual of large-N thermal QCD of [2]. We also obtain a QCD deconfinement temperature T c = 150 MeV from a Hawking-Page phase transition at vanishing baryon chemical potential, consistent with lattice QCD in the heavy-quark limit.

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Lattice QCD at Finite Temperature

Cited by 3 publications

References 29 publications

The quark–gluon plasma: collective dynamics and hard thermal loops

The quark–gluon plasma: collective dynamics and hard thermal loops

The QCD trace anomaly at strong coupling from M-theory

The QCD Trace Anomaly at Strong Coupling from M-Theory

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