Partonic scattering cross sections in the QCD medium

Ruppert, Jörg; Nayak, Gouranga C.; Dietrich, Dennis D.; Stöcker, H.; Greiner, Walter

doi:10.1016/s0370-2693(01)01190-x

Cited by 13 publications

(8 citation statements)

References 43 publications

(39 reference statements)

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“…However, in the medium, the medium modified resumed gluon propagator removes this infrared divergence and the typical finite differential cross section becomes [19] dσ dt = 9πα 2…”

Section: Ratio Of Characteristic Relaxation Time Of the Non-equilibrimentioning

confidence: 99%

Altarelli-parisi equation in non-equilibrium QCD

Nayak

2012

Phys. Part. Nuclei

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The Q 2 evolution of fragmentation function in non-equilibrium QCD by using DGLAP evolution equation may be necessary to study hadron formation from quark-gluon plasma at RHIC and LHC. In this paper we study splitting functions in non-equilibrium QCD by using Schwinger-Keldysh closed-time path integral formalism. For quarks and gluons with arbitrary non-equilibrium distribution functions f q ( p) and f g ( p), we derive expressions for quark and gluon splitting functions in non-equilibrium QCD at leading order in α s . We make a comparison of these splitting functions with that obtained by Altarelli and Parisi in vacuum.

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“…However, in the medium, the medium modified resumed gluon propagator removes this infrared divergence and the typical finite differential cross section becomes [19] dσ dt = 9πα 2…”

Section: Ratio Of Characteristic Relaxation Time Of the Non-equilibrimentioning

confidence: 99%

Altarelli-parisi equation in non-equilibrium QCD

Nayak

2012

Phys. Part. Nuclei

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“…Here φ ab and θ ab depend on k as well as on the tensors κ, ψ, t and u. The form (43) implies that [A µ , A ν ] and [A µ , F στ ] in equations (18), (19) are quadratic in the external field and have to be dropped out thus simplifying the currents S ν and R ν to…”

Section: In-medium Yang-mills Equationsmentioning

confidence: 99%

“…From the analysis of the phenomenon of color superconductivity of hadron matter at high density [16,17], it has been found that the medium surrounding the liberated quarks exhibits a polarization behavior characterized by an effective color dielectric constant ǫ ≫ 1, the magnetic permeability remaining close to one. The estimate ǫ ≫ 1 has also been obtained in [18] evaluating the photon self-energy for a color superconductor. The case of two-flavor color superconductor with prescribed dielectric susceptibility and magnetic permeability of the medium was considered by D. Litim and C. Manuel [19] applying the methods of transport theory and extending the results of Rischke, Son and Stephanov to finite temperature.…”

Section: Introductionmentioning

confidence: 97%

In-medium Yang–Mills equations: a derivation and canonical quantization

Djongolov

Pisov

Rizov

2004

J. Phys. G: Nucl. Part. Phys.

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In-medium Yang-Mills equations: a derivation and canonical quantization 2 Abstract. The equations for a Yang-Mills field in a medium are derived in the approximation of linear response to an external field. Introducing tensors of generalized susceptibilities, the in-medium equations are written in a form similar to the in-medium Maxwell equations. The non-Abelian character of the gauge group G is reflected in the presence of susceptibility tensors with no counterpart in electrodynamics and the necessity to define modified "electric" and "magnetic" fields (apart from the "color" induction vectors). which enter the in-medium equations. The latter reduce to dimG copies of Maxwell in-medium equations in the approximation up to second order in the gauge coupling constant. For a medium uniformly moving, a canonical quantization is performed for a family of Fermi-like gauges in the case of constant and diagonal (in the group indices) tensors of "electric" permittivity and "magnetic" permeability. The physical subspace is defined and the gauge field propagator is evaluated for a particular choice of the gauge. It is applied firstly for evaluation of the cross-section of elastic quark scattering in the Born approximation. Possible applications to Cherenkov-type gluon radiation are commented briefly.

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“…This divergence is inevitable as long as we use the free propagator in vaccuum to evaulate the Feynman diagrams. However, this infrared divergence can be removed when one uses medium modified propagators instead of the vacuum propagator to evaluate the collision term in medium [18][19][20]8,21]. The medium modified propagtaors have been obtained in the thermal field theory for the case of an equilibrium plasma.…”

Section: Introductionmentioning

confidence: 99%

Closed-time path integral formalism and medium effects of nonequilibrium QCD matter

2002

Self Cite

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We apply the closed-time path integral formalism to study the medium effects of non-equilibrium gluon matter. We derive the medium modified resummed gluon propagator to the one loop level in non-equilibrium in the covariant gauge. The gluon propagator we derive can be used to remove the infrared divergences in the secondary parton collisions to study thermalization of minijet parton plasma at RHIC and LHC.

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Partonic scattering cross sections in the QCD medium

Cited by 13 publications

References 43 publications

Altarelli-parisi equation in non-equilibrium QCD

Altarelli-parisi equation in non-equilibrium QCD

In-medium Yang–Mills equations: a derivation and canonical quantization

Closed-time path integral formalism and medium effects of nonequilibrium QCD matter

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