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Lifetime Effects in Color Superconductivity at Weak Coupling

Present computations of the gap of color superconductivity in weak coupling assume that the quarks which participate in the condensation process are infinitely long-lived. However, the quasiparticles in a plasma are characterized by having a finite lifetime. In this article we take into account this...

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Autor principal: Manuel, Cristina
Lenguaje:eng
Publicado: 2000
Materias:
Acceso en línea:https://dx.doi.org/10.1103/PhysRevD.62.114008
http://cds.cern.ch/record/441899
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author Manuel, Cristina
author_facet Manuel, Cristina
author_sort Manuel, Cristina
collection CERN
description Present computations of the gap of color superconductivity in weak coupling assume that the quarks which participate in the condensation process are infinitely long-lived. However, the quasiparticles in a plasma are characterized by having a finite lifetime. In this article we take into account this fact to evaluate its effect in the computation of the color gap. By first considering the Schwinger-Dyson equations in weak coupling, when one-loop self-energy corrections are included, a general gap equation is written in terms of the spectral densities of the quasiparticles. To evaluate lifetime effects, we then model the spectral density by a Lorentzian function. We argue that the decay of the quasiparticles limits their efficiency to condense. The value of the gap at the Fermi surface is then reduced. To leading order, these lifetime effects can be taken into account by replacing the coupling constant of the gap equation by a reduced effective one.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2000
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spelling cern-4418992023-03-14T20:00:42Zdoi:10.1103/PhysRevD.62.114008http://cds.cern.ch/record/441899engManuel, CristinaLifetime Effects in Color Superconductivity at Weak CouplingParticle Physics - PhenomenologyPresent computations of the gap of color superconductivity in weak coupling assume that the quarks which participate in the condensation process are infinitely long-lived. However, the quasiparticles in a plasma are characterized by having a finite lifetime. In this article we take into account this fact to evaluate its effect in the computation of the color gap. By first considering the Schwinger-Dyson equations in weak coupling, when one-loop self-energy corrections are included, a general gap equation is written in terms of the spectral densities of the quasiparticles. To evaluate lifetime effects, we then model the spectral density by a Lorentzian function. We argue that the decay of the quasiparticles limits their efficiency to condense. The value of the gap at the Fermi surface is then reduced. To leading order, these lifetime effects can be taken into account by replacing the coupling constant of the gap equation by a reduced effective one.Present computations of the gap of color superconductivity in weak coupling assume that the quarks which participate in the condensation process are infinitely long-lived. However, the quasiparticles in a plasma are characterized by having a finite lifetime. In this article we take into account this fact to evaluate its effect in the computation of the color gap. By first considering the Schwinger-Dyson equations in weak coupling, when one-loop self-energy corrections are included, a general gap equation is written in terms of the spectral densities of the quasiparticles. To evaluate lifetime effects, we then model the spectral density by a Lorentzian function. We argue that the decay of the quasiparticles limits their efficiency to condense. The value of the gap at the Fermi surface is then reduced. To leading order, these lifetime effects can be taken into account by replacing the coupling constant of the gap equation by a reduced effective one.hep-ph/0006106CERN-TH-2000-160CERN-TH-2000-160oai:cds.cern.ch:4418992000-06-11
spellingShingle Particle Physics - Phenomenology
Manuel, Cristina
Lifetime Effects in Color Superconductivity at Weak Coupling
title Lifetime Effects in Color Superconductivity at Weak Coupling
title_full Lifetime Effects in Color Superconductivity at Weak Coupling
title_fullStr Lifetime Effects in Color Superconductivity at Weak Coupling
title_full_unstemmed Lifetime Effects in Color Superconductivity at Weak Coupling
title_short Lifetime Effects in Color Superconductivity at Weak Coupling
title_sort lifetime effects in color superconductivity at weak coupling
topic Particle Physics - Phenomenology
url https://dx.doi.org/10.1103/PhysRevD.62.114008
http://cds.cern.ch/record/441899
work_keys_str_mv AT manuelcristina lifetimeeffectsincolorsuperconductivityatweakcoupling