Instabilities in non-expanding glasma

Fujii, H.; Itakura, Kazunori; Iwazaki, Aiichi

doi:10.1016/j.nuclphysa.2009.06.020

Cited by 48 publications

(53 citation statements)

References 18 publications

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“…For instance, in the early stages of relativistic heavy ion collisions, extremely strong chromomagnetic fields (as well as chromoelectric fields) are generated. This chromomagnetic field could decay into gluons through the N-O instability as discussed in [41,42].…”

Section: B Total Effective Potential and Renormalizationmentioning

confidence: 99%

QCD effective potential with strongU(1)emmagnetic fields

Ozaki

2014

Phys. Rev. D

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We derive the analytic expression for the one-loop SU (N c ) QCD effective potential including N f flavor quarks which nonlinearly interact with the chromomagnetic background field and the external U (1) em magnetic field. After the renormalization of couplings and fields, we obtain the correct one-loop β functions of both QCD and QED, and the resulting effective potential satisfies the renormalization group equation. We investigate the effect of the magnetic field on the QCD vacuum by using the effective potential, in particular for the color SU (3) case with the three flavors (u, d, s). Our result shows that the chromomagnetic field prefers to be parallel to the external magnetic field. Furthermore, quark loop contributions to the effective potential with the magnetic field enhance gluonic contributions, and then the chromomagnetic condensate increases with an increasing magnetic field. This result supports the recent observed gluonic magnetic catalysis at zero-temperature in lattice QCD. *

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Section: B Total Effective Potential and Renormalizationmentioning

confidence: 99%

QCD effective potential with strongU(1)emmagnetic fields

Ozaki

2014

Phys. Rev. D

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“…In the CGC framework, the Weibel instabilities manifest themselves in the form of unstable solutions of the classical Yang-Mills equations [45][46][47][48][49][50][51][52][53], that lead to secular divergences in the NLO 2 correction to quantities such as the pressure: these corrections diverge when the time goes to infinity. In ref.…”

Section: Introductionmentioning

confidence: 99%

Instability induced pressure isotropization in a longitudinally expanding system

et al. 2012

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In two previous works [arXiv:1009.4363,arXiv:1107.0668], we studied the time evolution of a system of real scalar fields with quartic coupling which shares important features with the Color Glass Condensate description of heavy ion collisions. Our primary objective was to understand how such a system, when initialized with a non-perturbatively large classical field configuration, reaches thermal equilibrium. An essential goal of these works was to highlight the role played by the quantum fluctuations.However, these studies considered only a system confined within a box of fixed volume. In the present paper, we extend this work to a system that expands in the longitudinal direction thereby more closely mimicking a heavy ion collision. We conclude that the microscopic processes that drive the system towards equilibrium are able to keep up with the expansion of the system; the pressure tensor becomes isotropic despite the anisotropic expansion.

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“…It has been noted in various situations [35,36,37,38,39,40,41,42] that the classical solutions of Yang-Mills equations that constitute the LO answer in the CGC approach are unstable under small perturbations. Practically, this means that loop corrections contain secular divergences -i.e.…”

Section: Introductionmentioning

confidence: 99%

Role of quantum fluctuations in a system with strong fields: Spectral properties and thermalization

Epelbaum

Gelis

2011

Nuclear Physics A

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In a previous work [arXiv:1009.4363], we have studied the evolution of a scalar field with a quartic coupling, driven by a classical source that initializes it to a non-perturbatively large value. At leading order in the coupling, the evolution of this system is given by classical solutions of the field equation of motion. However, this system is subject to a parametric resonance that leads to secular divergences in higher order corrections to physical observables. We have proposed a scheme that resums all the leading secular terms: this resummation leads to finite results at all times, and we have observed also that it makes the pressure tensor of the system relax to its equilibrium value.In the present paper, we continue the study of this system by looking at finer details of its dynamics. We first compute its spectral function at various stages of the evolution, and we observe that after a fairly short transient time there are well defined massive quasi-particles. We then consider the time evolution of the momentum distribution of these quasi-particles, and we show that after a stage dominated by the parametric resonance, this distribution slowly evolves to an equilibrium distribution. Interestingly, this distribution develops a transient chemical potential, signalling the fact that number changing processes are much slower than the elastic ones.

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Instabilities in non-expanding glasma

Cited by 48 publications

References 18 publications

QCD effective potential with strongU(1)emmagnetic fields

QCD effective potential with strongU(1)emmagnetic fields

Instability induced pressure isotropization in a longitudinally expanding system

Role of quantum fluctuations in a system with strong fields: Spectral properties and thermalization

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