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Bulk viscosity in a cold CFL superfluid

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http://dx.doi.org/10.1088/1475-7516/2007/08/001
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2007-08
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Manuel, Cristina
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IOP Publishing Ltd
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Abstract
We compute one of the bulk viscosity coeffcients of cold color -flavor locked ( CFL) quark matter in the temperature regime where the contribution of mesons, quarks and gluons to transport phenomena is Boltzmann suppressed. In that regime dissipation occurs due to collisions of super fluid phonons, the Goldstone modes associated to the spontaneous breaking of baryon symmetry. We first review the hydrodynamics of relativistic superfluids, and recall that there are at least three bulk viscosity coeffcients in these systems. We then compute the bulk viscosity coeffcient associated to the normal fluid component of the superfluid. In our analysis we use Son's effective field theory for the superfluid phonon, amended to include scale breaking effects proportional to the square of the strange quark mass m(s). We compute the bulk viscosity at leading order in the scale breaking parameter, and find that it is dominated by collinear splitting and joining processes. The resulting transport coeffcient is zeta = 0.011 m(s)(4)/T, growing at low temperature T until the phonon fluid description stops making sense. Our results are relevant for studying the rotational properties of a compact star formed by CFL quark matter.
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© 2007 IOP Publishing Ltd and SISSA. We thank M Alford, A Dobado, L Garay, M Mannarelli, G Moore and D T Son for useful discussions and remarks. Our work has been supported by the grants FPA 2004-02602, 2005 02327, PR27/05-13955-BSCH and AYA 2005-08013-C03-02.
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Física (Física)
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22 Física
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1] Alford M, Rajagopal K and Wilczek F, 1999 Nucl. Phys. B 537 443 [SPIRES] [hep-ph/9804403] [2] Manuel C, Dobado A and Llanes-Estrada F J, 2005 J. High Energy Phys. JHEP09(2005)076 [SPIRES] [hep-ph/0406058] [3] Rajagopal K and Wilczek F, 2000 Preprint hep-ph/0011333 Alford M, 2001 Ann. Rev. Nucl. Part. Sci. 51 131 [SPIRES] Nardulli G, 2002 Riv. Nuovo Cim. 25N3 1 Sch¨afer T, 2003 Preprint hep-ph/0304281 Rischke D H, 2004 Prog. Part. Nucl. Phys. 52 197 Ren H-C, 2004 Preprint hep-ph/0404074 Shovkovy I A, 2004 Preprint nucl-th/0410091 Alford M and Rajagopal K, 2006 Preprint hep-ph/0606157
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https://hdl.handle.net/20.500.14352/50804
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