RT Journal Article
T1 Bulk viscosity of low-temperature strongly interacting matter
A1 Dobado González, Antonio
A1 Llanes Estrada, Felipe José
A1 Torres Rincón, Juan M.
AB We study the bulk viscosity of a pion gas in unitarized Chiral Perturbation Theory at low and moderate temperatures, below any phase transition to a quark-gluon plasma phase. We argue that inelastic processes are irrelevant and exponentially suppressed at low temperatures. Since the system falls out of chemical equilibrium upon expansion, a pion chemical potential must be introduced, so we extend the existing theories that include it. We control the zero modes of the collision operator and Landau's conditions of fit when solving the Boltzmann equation with the elastic collision kernel. The dependence of the bulk viscosity with temperature is reminiscent of the findings of Fernández-Fraile and Gómez Nicola (2009) [1], while the numerical value is closer to that of Davesne (1996) [2]. In the zero-temperature limit we correctly recover the vanishing viscosity associated to a non-relativistic monoatomic gas.
PB Elsevier Science BV
SN 0370-2693
YR 2011
FD 2011-08-03
LK https://hdl.handle.net/20.500.14352/43704
UL https://hdl.handle.net/20.500.14352/43704
LA eng
NO [1] D. Fernández-Fraile, A. Gómez Nicola, Phys. Rev. Lett. 102 (2009) 121601, arXiv:0809.4663 [hep-ph].[2] D. Davesne, Phys. Rev. C 53 (1996) 3069.[3] F. Karsch, D. Kharzeev, K. Tuchin, Phys. Lett. B 663 (2008) 217, arXiv:0711.0914 [hep-ph].[4] A. Dobado, F.J. Llanes-Estrada, J.M. Torres-Rincón, arXiv:1101.1801 [hep-ph].[5] P.B. Arnold, C. Dogan, G.D. Moore, Phys. Rev. D 74 (2006) 085021, hep-ph/ 0608012.[6] M. Prakash, M. Prakash, R. Venugopalan, et al., Phys. Rep. 227 (1993) 321; A. Wiranata, M. Prakash, Nucl. Phys. A 830 (2009) 219C, arXiv:0906.5592 [nuclth].[7] J.-W. Chen, J. Wang, Phys. Rev. C 79 (2009) 044913, arXiv:0711.4824 [hep-ph].[8] P. Chakraborty, J.I. Kapusta, Phys. Rev. C 83 (2011) 014906, arXiv:1006.0257 [nucl-th].[9] Y. Aoki, G. Endrodi, Z. Fodor, S.D. Katz, K.K. Szabo, Nature 443 (2006) 675, hep-lat/0611014.[10] K. Aamodt, et al., ALICE Collaboration, Phys. Rev. Lett. 106 (2011) 032301, arXiv:1012.1657 [nucl-ex].[11] C. Song, V. Koch, Phys. Rev. C 55 (1997) 3026, nucl-th/9611034.[12] A. Dobado, M.J. Herrero, T.N. Truong, Phys. Lett. B 235 (1990) 134; A. Dobado, J.R. Peláez, Phys. Rev. D 56 (1997) 3057, hep-ph/9604416.[13] A. Dobado, F.J. Llanes-Estrada, Phys. Rev. D 69 (2004) 116004, hep-ph/0309324.[14] A. Gómez Nicola, J.R. Peláez, Phys. Rev. D 65 (2002) 054009, hep-ph/0109056.[15] J. Gasser, H. Leutwyler, Ann. Phys. 158 (1984) 142.[16] L.P. Csernai, J.I. Kapusta, L.D. McLerran, Phys. Rev. Lett. 97 (2006) 152303, nucl-th/0604032.[17] S. Gavin, Nucl. Phys. A 435 (1985) 826.[18] E. Lu, G.D. Moore, Phys. Rev. C 83 (2011) 044901, ArXiv:1102.0017 [hep-ph].
NO © 2011 Elsevier B.V. Work supported by grants FPA 2008-00592, FIS2008-01323,FPA2007-29115-E, PR34-1856-BSCH, UCM-BSCH GR58/08 910309,PR34/07-15875 (Spain). J.M.T.-R. is a recipient of an FPU scholarship.
DS Docta Complutense
RD 6 may 2024