Landau-Pomeranchuk-Migdal effect in thermal field theory

Aurenche, P.; Gelis, François; Zaraket, H.

doi:10.1103/physrevd.62.096012

Cited by 119 publications

(178 citation statements)

References 42 publications

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“…Note, however, that collinear divergences identified in higher orders [200,204] raise doubts about the consistency of the original calculations in [202,197,198]. In spite of significant recent work and progress [200,203,204,205,206], the complete calculation of the production rates for photons and dileptons in the quark-gluon plasma remains an open problem.…”

Section: Some Applications Of Htl-resummed Perturbation Theorymentioning

confidence: 99%

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

Blaizot¹,

Iancu²

2002

Physics Reports

505

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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Section: Some Applications Of Htl-resummed Perturbation Theorymentioning

confidence: 99%

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

Blaizot¹,

Iancu²

2002

Physics Reports

505

714

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“…This powerful resummation technique can be directly applied to relevant problems in cosmology [39,40] or in hot abelian gauge theories [41,42], as well as in the many-body theory of ultracold condensates [43]. Yet, for non-abelian gauge fields the more complete 3PI resummation becomes necessary [44,45], and for a setting with topological defects an inhomogeneous treatment is inevitable [46]. Being both extensions expensive, we will have to fall back in these cases to the classical approximation and use 2PI to benchmark it where their domains of validity overlap.…”

Section: Introductionmentioning

confidence: 99%

Low-cost fermions in classical field simulations

Borsányi

Hindmarsh

2009

Phys. Rev. D

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We discuss the possible extension of the bosonic classical field theory simulations to include fermions. This problem has been addressed in terms of the inhomogeneous mean field approximation by Aarts and Smit. By performing a stochastic integration of an equivalent set of equations we can extend the original 1+1 dimensional calculations so that they become feasible in higher dimensions. We test the scheme in 2 + 1 dimensions and discuss some classical applications with fermions for the first time, such as the decay of oscillons.

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“…These rates have been evaluated at 1-loop 1 in [3,4,5], at 2-loop in [6,7,8,9], and the Landau-Pomeranchuk-Migdal [10,11,12] corrections have been resummed in [13,14,15,16,17,18,19]. Up-to-date reviews of the situation regarding photon and dilepton production in equilibrium can be found in [20,21,22,23].…”

Section: Introductionmentioning

confidence: 99%

Remarks on transient effects for photon production in heavy ion collisions

2005

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In this note, we discuss the derivation of a formula that has been used in the literature in order to compute the number of photons emitted by a hot or dense system during a finite time. Our derivation is based on a variation of the standard operator-based S-matrix approach. The shortcomings of this formula are then emphasized, which leads to a negative conclusion concerning the possibility of using it to predict transient effects for the photon rate.

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Landau-Pomeranchuk-Migdal effect in thermal field theory

Cited by 119 publications

References 42 publications

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

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

Low-cost fermions in classical field simulations

Remarks on transient effects for photon production in heavy ion collisions

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