Semiconductor superlattices

Silin, A. P.

doi:10.1070/pu1985v028n11abeh003967

Cited by 88 publications

(96 citation statements)

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“…1) can be evaluated in the imaginary-time formalism for external momentum P = (p 0 , p), with p 0 = i2πnT and p = |p|. In covariant gauge the resummed photon propagator has the form [25,26] …”

Section: Axion Productionmentioning

confidence: 99%

Erratum to: “Thermal production of gravitinos” [Nucl. Phys. B 606 (2001) 518–544]

2008

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We evaluate the gravitino production rate in supersymmetric QCD at high temperature to leading order in the gauge coupling. The result, which is obtained by using the resummed gluon propagator, depends logarithmically on the gluon plasma mass. As a byproduct, a new result for the axion production rate in a QED plasma is obtained. The implicatons for the cosmological dark matter problem are briefly discussed, in particular the intriguing possibility that gravitinos are the dominant part of cold dark matter.

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Section: Axion Productionmentioning

confidence: 99%

Erratum to: “Thermal production of gravitinos” [Nucl. Phys. B 606 (2001) 518–544]

2008

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“…For instance, it is closely related to the dielectric function following from the semi-classical Vlasov equation describing a collisionless plasma. E.g., the longitudinal dielectric function following from the Vlasov equation is given by [5][6][7] (The only non-classical inputs here are Fermi and Bose distributions instead of the Boltzmann distribution.) Quantum effects in the Debye mass have been considered using the hard-thermal-loop resummation scheme [8], dimensional reduction [9], and QCD lattice simulations [10].…”

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confidence: 99%

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confidence: 99%

Screening of a moving parton in the quark-gluon plasma

2005

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The screening potential of a parton moving through a quark-gluon plasma is calculated using the semi-classical transport theory. An anisotropic potential showing a minimum in the direction of the parton velocity is found. As consequences possible new bound states in the quark-gluon plasma and J/ψ dissociation are discussed.Screening of charges in a plasma is one of the most important collective effects in plasma physics. In the classical limit in an isotropic and homogeneous plasma the screening potential of a point-like test charge Q at rest can be derived from the linearized Poisson equation, resulting in Debye screening. In this way the Coulomb potential of a charge in the plasma is modified into a Debye-Hückel or Yukawa potential [1]with the Debye mass (inverse screening length) m D (h = c = k B = 1). A special kind of plasma is the so-called quark-gluon plasma (QGP), where the electric charges in a plasma are replaced by the color charges of quarks and gluons, mediating the strong interactions between them. Such a state of matter is expected to exist at extreme temperatures, above 150 MeV, or densities, above about 10 times nuclear density. These conditions could be fulfilled in the early Universe for the first few microseconds or in the interior of neutron stars. In accelerator experiments high-energy nucleus-nucleus collisions are used to search for the QGP. In these collisions a hot and dense fireball is created which might consist of a QGP in an early stage (less than about 10 fm/c) [2]. Since the masses of the lightest quarks and of the actually massless gluons are much less than the temperature of the system, the QGP is an ultrarelativistic plasma. To achieve a theoretical understanding of the QGP, methods from quantum field theory (QCD) at finite temperature are adopted [3]. Perturbative QCD should work at high temperatures far above the phase transition where the interaction between the quarks and gluons becomes weak due to a specific property of QCD called asymptotic freedom. An important quantity which can be derived in this way is the polarization tensor describing the behavior of interacting gluons in the QGP. From the polarization tensor important properties of the QGP, such as the dispersion relation and damping of the plasma modes or the Debye screening of color charges in the QGP can be derived [4].In the QGP the Debye mass of a chromoelectric charge follows from the static limit of the longitudinal polarization tensor in the high-temperature limit [4],where g is the strong coupling constant and n f the number of light quark flavors in the QGP with m q ≪ T . The high-temperature limit of the polarization tensor corresponds to the classical approximation. For instance, it is closely related to the dielectric function following from the semi-classical Vlasov equation describing a collisionless plasma. E.g., the longitudinal dielectric function following from the Vlasov equation is given by [5][6][7] (The only non-classical inputs here are Fermi and Bose distributions instead of the Boltzmann d...

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“…Furthermore, for m e c 2 ӶT h , where T h is the hot-electron temperature, the current density associated with relativistically hot electrons is [21] …”

Section: Introductionmentioning

confidence: 99%

“…We are interested in obtaining a dispersion relation for a plane-polarized electromagnetic wave (with A =xA x exp(−iωt + ikz), wherex is a unit vector along the x-axis in a Cartesian co-ordinate system and A x is the x-component of the vector potential, ω is the frequency, and k is the wave number along the z axis) in our three-species plasmas. The equilibrium distribution functions of cold electrons, hot electrons and hot protons are a delta function, a relativistic Maxwellian distribution function [21] and a bi-Maxwellian distribution function [22,23], respectively. The current density associated with cold electrons is…”

Section: Introductionmentioning

confidence: 99%

Proton-temperature-anisotropy-driven magnetic fields in plasmas with cold and relativistically hot electrons

Shukla¹,

Shukła

2009

J. Plasma Phys.

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Abstract. We present a dispersion relation for a plane-polarized electromagnetic wave in plasmas composed of cold electrons, relativistically hot electrons and biMaxwellian protons. It is shown that the free energy in proton-temperature anisotropy drives purely growing electromagnetic modes in our three-component plasma. Expressions for the growth rates and thresholds of instabilities are presented. The present results are relevant for explaining the origin of spontaneously generated magnetic fields in laboratory and astrophysical plasmas.

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Semiconductor superlattices

Cited by 88 publications

References 0 publications

Erratum to: “Thermal production of gravitinos” [Nucl. Phys. B 606 (2001) 518–544]

Erratum to: “Thermal production of gravitinos” [Nucl. Phys. B 606 (2001) 518–544]

Screening of a moving parton in the quark-gluon plasma

Proton-temperature-anisotropy-driven magnetic fields in plasmas with cold and relativistically hot electrons

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