Braaten-Pisarski method at finite chemical potential

Vija, H.; Thoma, Markus H.

doi:10.1016/0370-2693(94)01378-p

Cited by 84 publications

(84 citation statements)

References 33 publications

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“…In hard-thermal-loop (HTL) approaches [54,55] the damping of a hard quark (or gluon) does not depend on the quark chemical potential explicitly [57] and one might employ (6) also at finite µ. This, however, has to be considered with care since HTL approaches assume small couplings g 2 and should be applied at sufficiently high temperature, only.…”

Section: Finite Quark Chemical Potential µ Qmentioning

confidence: 99%

Dynamical quasiparticles properties and effective interactions in the sQGP

2007

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Dynamical quasiparticle properties are determined from lattice QCD along the line of the Peshier model for the running strong coupling constant in case of three light flavors. By separating time-like and space-like quantities in the number density and energy density the effective degrees of freedom in the gluon and quark sector may be specified from the time-like densities. The space-like parts of the energy densities are identified with interaction energy (or potential energy) densities. By using the timelike parton densities (or scalar densities) as independent degrees of freedom -instead of the temperature T and chemical potential µ q as Lagrange parameters -variations of the potential energy densities with respect to the time-like gluon and/or fermion densities lead to effective mean-fields for time-like gluons and quarks as well as to effective gluon-gluon, quark-gluon and quark-quark (quark-antiquark) interactions. The latter dynamical quantities are found to be approximately independent on the quark chemical potential µ q and thus well suited for an inplementation in offshell parton transport approaches. Results from the dynamical quasiparticle model (DQPM) in case of two dynamical light quark flavors are compared to lattice QCD calculations for the net quark density ρ q (T, µ q ) as well as for the 'back-to-back' differential dilepton production rate by q −q annihilation. The DQPM is found to pass the independent tests.

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Section: Finite Quark Chemical Potential µ Qmentioning

confidence: 99%

Dynamical quasiparticles properties and effective interactions in the sQGP

2007

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“…Actually, HTLs were also studied when a chemical potential was included for quarks, and it was concluded that the only effect of the chemical potential was modifying the Debye mass by a term proportional to the chemical potential [17], [18]. Therefore, at very high density or chemical potential µ and zero temperature, one also may expect that naive one-loop computations are incomplete, as one-loop diagrams with soft (∼ gµ) external momenta, and quarks running inside the loop with Fermi energy, are comparable to tree amplitudes, and therefore they would have to be resummed.…”

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confidence: 99%

Hard dense loops in a cold non-Abelian plasma

Manuel

1996

Phys. Rev. D

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Classical transport theory is used to study the response of a non-Abelian plasma at zero temperature and high chemical potential to weak color electromagnetic fields. In this article the parallelism between the transport phenomena occurring in a non-Abelian plasma at high temperature and high density is stressed. Particularly, it is shown that at high densities it is also possible to relate the transport equations to the zero-curvature condition of a Chern-Simons theory in three dimensions, even when quarks are not considered ultrarelativistic. The induced color current in the cold plasma can be expressed as an average over angles, which represent the directions of the velocity vectors of quarks having Fermi energy. From this color current it is possible to compute n-point gluonic amplitudes, with arbitrary n. It is argued that these amplitudes are the same as the ones computed in the high chemical potential limit of QCD, that are then called hard dense loops. The agreement between the two different formalisms is checked by computing the polarization tensor of QED due to finite density effects in the high density limit.

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“…In the case of a weak external field, the screening of the one-gluon interaction in dense medium can be described well by the usual hard-dense loop approximation [34][35][36]. In the Coulomb gauge, the Lorentz structure of the gluon propagator is given by [37,38] …”

Section: A Gluon Propagatormentioning

confidence: 99%

“…In the most important regime for Cooper pairing dynamics, q 0 ≪ | q| ≪ m D , the approximate expressions for these screening functions read [34][35][36] …”

Section: A Gluon Propagatormentioning

confidence: 99%

Directional dependence of a color superconducting gap in two-flavor QCD in a magnetic field

Shovkovy

2012

Phys. Rev. D

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We study the effect of a magnetic field on the pairing dynamics in two-flavor color superconducting dense quark matter. The study is performed in the weakly coupled regime of QCD at asymptotically high density, using the framework of Schwinger-Dyson equation in the improved rainbow approximation. We show that the superconducting gap function develops a directional dependence in momentum space. Quasiparticles with momenta perpendicular to the direction of the magnetic field have the largest gaps, while quasiparticles with momenta parallel to the field have the smallest gaps. We argue that the directional dependence is a consequence of a long range interaction in QCD. The quantitative measure of the ellipticity of the gap function is determined by a dimensionless ratio, proportional to the square of the magnetic field and inversely proportional to the fourth power of the quark chemical potential. For magnetic fields in stars, B 10 18 G, the corresponding ratio is estimated to be less than about 10 −2 , justifying the use of the weak magnetic field limit in all stellar applications.

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Braaten-Pisarski method at finite chemical potential

Cited by 84 publications

References 33 publications

Dynamical quasiparticles properties and effective interactions in the sQGP

Dynamical quasiparticles properties and effective interactions in the sQGP

Hard dense loops in a cold non-Abelian plasma

Directional dependence of a color superconducting gap in two-flavor QCD in a magnetic field

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