dorsal/arxiv
View SchemaThe Complex Gap in Color Superconductivity
| Authors | Philipp T. Reuter |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0608020 |
| URL | https://arxiv.org/abs/nucl-th/0608020 |
| DOI | 10.1103/PhysRevD.74.105008 |
| Journal | Phys.Rev.D74:105008,2006 |
Abstract
We solve the gap equation for color-superconducting quark matter in the 2SC phase, including both the energy and the momentum dependence of the gap, \phi=\phi(k_0,\vk). For that purpose a complex Ansatz for \phi is made. The calculations are performed within an effective theory for cold and dense quark matter. The solution of the complex gap equation is valid to subleading order in the strong coupling constant g and in the limit of zero temperature. We find that, for momenta sufficiently close to the Fermi surface and for small energies, the dominant contribution to the imaginary part of $\phi$ arises from Landau-damped magnetic gluons. Further away from the Fermi surface and for larger energies the other gluon sectors have to be included into Im\phi. We confirm that Im$ \phi$ contributes a correction of order g to the prefactor of \phi for on-shell quasiquarks sufficiently close to the Fermi surface, whereas further away from the Fermi surface Im\phi and Re\phi are of the same order. Finally, we discuss the relevance of Im\phi for the damping of quasiquark excitations.
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"abstract": "We solve the gap equation for color-superconducting quark matter in the 2SC\nphase, including both the energy and the momentum dependence of the gap,\n\\phi=\\phi(k_0,\\vk). For that purpose a complex Ansatz for \\phi is made. The\ncalculations are performed within an effective theory for cold and dense quark\nmatter. The solution of the complex gap equation is valid to subleading order\nin the strong coupling constant g and in the limit of zero temperature. We find\nthat, for momenta sufficiently close to the Fermi surface and for small\nenergies, the dominant contribution to the imaginary part of $\\phi$ arises from\nLandau-damped magnetic gluons. Further away from the Fermi surface and for\nlarger energies the other gluon sectors have to be included into Im\\phi. We\nconfirm that Im$ \\phi$ contributes a correction of order g to the prefactor of\n\\phi for on-shell quasiquarks sufficiently close to the Fermi surface, whereas\nfurther away from the Fermi surface Im\\phi and Re\\phi are of the same order.\nFinally, we discuss the relevance of Im\\phi for the damping of quasiquark\nexcitations.",
"arxiv_id": "nucl-th/0608020",
"authors": [
"Philipp T. Reuter"
],
"categories": [
"nucl-th",
"cond-mat.supr-con",
"hep-ph"
],
"doi": "10.1103/PhysRevD.74.105008",
"journal_ref": "Phys.Rev.D74:105008,2006",
"title": "The Complex Gap in Color Superconductivity",
"url": "https://arxiv.org/abs/nucl-th/0608020"
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