Towards thermalization in heavy-ion collisions: CGC meets the 2PI formalism

Hatta, Yoshitaka; Nishiyama, Akihiro

doi:10.1016/j.nuclphysa.2011.10.007

Cited by 23 publications

(19 citation statements)

References 46 publications

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“…Qualitatively, very similar phenomena can be expected for non-Abelian gauge theories as confirmed already for the nonexpanding case [3,10]. This has in principle been observed also in classical-statistical simulations of the glasma [2,5] and corresponding 2PI effective action techniques [15] may provide a systematic framework to study these effects. Even for the physics of primary instabilities with anisotropic Bjorken expansion many qualitative aspects, such as the delayed set-in of high Significant energy transfer to the produced particles occurs when high momentum modes carrying more energy are affected by secondary instabilities due to nonlinear amplification in a broad momentum range (bottom).…”

Section: Discussionsupporting

confidence: 76%

“…1 Accordingly the macroscopic field displays oscillations with constant period in conformal time. For the physical interpretation of this result it is insightful to express the approximate solution (15) in terms of the original variables, where it reads…”

Section: B Linear Regime and Generalized Conformal Timementioning

confidence: 99%

“…Gauge theories with expansion have also been considered in Ref. [15] based on a classification of the 2PI effective action in the number of loops.…”

Section: A Nonlinear Corrections and Power Countingmentioning

confidence: 99%

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Nonlinear amplification of instabilities with longitudinal expansion

2012

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We study the dynamics of nonequilibrium instabilities in anisotropically expanding systems. The most prominent example of such a system is the 'Glasma' in the context of relativistic heavy-ion collision experiments, where the expansion is a consequence of approximately boost-invariant initial conditions. Here we consider the problem of parametric resonance in scalar $N$-component quantum field theories with boost-invariant initial conditions, which is similar in spirit. We find that many aspects of the dynamics can be treated analytically by introducing a generalized conformal time. Primary instabilities, which are described by the linearized evolution equations, are seen to lead to a secondary regime of amplifications with strongly enhanced growth rates due to nonlinear corrections. For the secondary instabilities we present a power-counting scheme for weak coupling, and discuss their role for the question of isotropization and the establishment of an equation of state.Comment: 18 pages, 14 figure

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Section: Discussionsupporting

confidence: 76%

Section: B Linear Regime and Generalized Conformal Timementioning

confidence: 99%

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Nonlinear amplification of instabilities with longitudinal expansion

2012

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“…(35). The equations of motion of the nonequilibrium parts of the solution up to the first order in the derivative expansion are ðh ABB !…”

Section: Tmentioning

confidence: 99%

Nonequilibrium fluctuation-dissipation relation from holography

Mukhopadhyay

2013

Phys. Rev. D

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We derive a nonequilibrium fluctuation-dissipation relation for bosonic correlation functions from holography in the classical gravity approximation at strong coupling. This generalizes the familiar thermal fluctuation-dissipation relation in the absence of external sources. This also holds universally for any nonequilibrium state which can be obtained from a stable thermal equilibrium state in perturbative derivative (hydrodynamic) and amplitude (nonhydrodynamic) expansions. Therefore, this can provide a strong experimental test for the applicability of the holographic framework. We discuss how it can be tested in heavy-ion collisions. We also make a conjecture regarding multipoint holographic nonequilibrium Green's functions.

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“…In principle, the latter difficulty can be solved by the two-particle irreducible (2PI) formalism which has a variety of applications in nonequilibrium physics and has been recently discussed in the context of heavy-ion collisions in the CGC picture [9] (see, also, [10]). In the 2PI formalism, the Bose-Einstein distribution is guaranteed as it consistently includes the relevant terms responsible for the quantum equilibration.…”

Section: Introductionmentioning

confidence: 99%

Nonequilibrium two-particle irreducible evolution of theO(N)model with longitudinal expansion

Hatta

Nishiyama

2012

Phys. Rev. D

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Motivated by the problem of thermalization in heavy-ion collisions, we present numerical simulations of the nonequilibrium evolution of the O(N) model in 1+2 dimensions with longitudinal expansion and in the presence of a background field. We work in the NLO approximation of the 1/N expansion and consider both the strong and weak coupling cases. Special emphasis is put on the difference between the 2PI formalism and the classical statistical approach. In the 2PI case at strong coupling, we find some evidence of the Bose-Einstein (exponential) distribution in the expanding system.

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Towards thermalization in heavy-ion collisions: CGC meets the 2PI formalism

Cited by 23 publications

References 46 publications

Nonlinear amplification of instabilities with longitudinal expansion

Nonlinear amplification of instabilities with longitudinal expansion

Nonequilibrium fluctuation-dissipation relation from holography

Nonequilibrium two-particle irreducible evolution of theO(N)model with longitudinal expansion

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