Viscosity of meson matter
| dc.contributor.author | Dobado González, Antonio | |
| dc.contributor.author | Llanes Estrada, Felipe José | |
| dc.date.accessioned | 2023-06-20T10:36:17Z | |
| dc.date.available | 2023-06-20T10:36:17Z | |
| dc.date.issued | 2004-06 | |
| dc.description | ©2004 The American Physical Society. The authors thank J. R. Peláez and A. Gómez Nicola for providing us with their SU(3) phase shifts and useful discussions, S. Santalla and F. J. Fernández for extensive checks and assistance, and D. Davesne for some interesting comments. This work was supported by grants FPA 2000-0956 and BFM 2002-01003 (Spain). | |
| dc.description.abstract | We report a calculation of the shear viscosity in a relativistic multicomponent meson gas as a function of temperature and chemical potentials. We approximately solve the Uehling-Uhlenbeck transport equation of kinetic theory, appropriate for a boson gas, with relativistic kinematics. Since at low temperatures the gas can be taken as mostly composed of pions, with a fraction of kaons and etas, we explore the region where binary elastic collisions with at least one pion are the dominant scattering processes. Our input meson scattering phase shifts are fits to the experimental data obtained from chiral perturbation theory and the inverse amplitude method. Our results take the correct nonrelativistic limit (viscosity proportional to the square root of the temperature), show a viscosity of the order of the cube of the pion mass up to temperatures somewhat below that mass, and then a large increase due to kaons and etas. Our approximation may break down at even higher temperatures, where the viscosity follows a temperature power law with an exponent near 3. | |
| dc.description.department | Depto. de Física Teórica | |
| dc.description.faculty | Fac. de Ciencias Físicas | |
| dc.description.refereed | TRUE | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/22093 | |
| dc.identifier.doi | 10.1103/PhysRevD.69.116004 | |
| dc.identifier.issn | 0556-2821 | |
| dc.identifier.officialurl | http://prd.aps.org/abstract/PRD/v69/i11/e116004 | |
| dc.identifier.relatedurl | http://prd.aps.org | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/50738 | |
| dc.issue.number | 11 | |
| dc.journal.title | Physical Review D | |
| dc.language.iso | eng | |
| dc.publisher | American Physical Society | |
| dc.relation.projectID | FPA 2000-0956 | |
| dc.relation.projectID | BFM 2002-01003 | |
| dc.rights.accessRights | open access | |
| dc.subject.cdu | 53 | |
| dc.subject.keyword | Chiral Perturbation-Theory | |
| dc.subject.keyword | Pion Gas | |
| dc.subject.keyword | Transport-Coefficients | |
| dc.subject.keyword | Hadrons | |
| dc.subject.ucm | Física (Física) | |
| dc.subject.unesco | 22 Física | |
| dc.title | Viscosity of meson matter | |
| dc.type | journal article | |
| dc.volume.number | 69 | |
| dcterms.references | [1] J.D. Bjorken, Phys. Rev. D 27, 140 (1983). For a recent review, see P.F. Kolb and U. Heinz, nucl-th/0305084. [2] U. Heinz, nucl-th/0306046. [3] D. Teaney, Phys. Rev. C 68, 034913 2003. [4] R. Pisarski, in Proceedings of Quark Matter’02 to be published, nucl-th/0212015. [5] P. Gerber, H. Leutwyler, and J.L. Goity, Phys. Lett. B 246, 513 (1990); J.L. Goity and H. Leutwyler, ibid. 228, 517 (1989). [6] G. Aarts and J.M. Martı´nez Resco, Phys. Rev. D 68, 085009 (2003); T.S. Evans et al. Nucl. Phys. B654, 357 (2003). [7] E.A. Uehling and G.E. Uhlenbeck, Phys. Rev. 43, 552 (1933). [8] A. Dobado and S.N. Santalla, Phys. Rev. D 65, 096011 (2002). [9] D. Davesne, Phys. Rev. C 53, 3069 (1996). [10] F.J. Llanes-Estrada and A. Dobado, hep-ph/0305151. [11] P. Gerber and H. Leutwyler, Nucl. Phys. B121, 387 (1989). [12] L. Landau and E.M. Lifshitz, Fluid Mechanics, Course of Theoretical Physics, 2nd ed. (Pergamon, New York, 1981), Vol. 6; Physical Kinetics, Course of Theoretical Physics, Vol. 10 (Pergamon, Oxford, 1981); see also R. Liboff, Kinetic Theory, Classical, Quantum and Relativistic Descriptions (Prentice-Hall, Englewood Cliffs, NJ, 1990). [13] R. Venugopalan and M. Prakash, Nucl. Phys. A546, 718 (1996). [14] M. Prakash et al., Phys. Rep. 227, 321 (1993). [15] G.M. Welke, R. Venugopalan, and M. Prakash, Phys. Lett. B 245, 137 (1990). [16] A. Dobado and J.R. Peláez, Phys. Rev. D 59, 034004 (1999); 47, 4883 (1993); 56, 3057 (1997). [17] J. Gasser and H. Leutwyler, Ann. Phys. (N.Y.) 158, 142 (1984). [18] F.J. Llanes-Estrada and P. de A. Bicudo, in proceedings of the 5th International Conference on Quark Confinement and the Hadron Spectrum, hep-ph/0212182; hep-ph/0306146, and references therein. [19] A. Dobado et al., Phys. Rev. C 66, 055201 (2002); F. J. Llanes-Estrada et al., in Strong and Electroweak Matter 2002 (World Scientific, Singapore, 2003), hep-ph/0212184. [20] J. Gasser and H. Leutwyler, Nucl. Phys. B250, 465 (1985). [21] A. Gómez Nicola and J.R. Peláez, Phys. Rev. D 65, 054009 (2002). [22] G. P. Lepage, Cornell Report No. CLNS-80/447, 1980. [23] J.R. Peláez and F.J. Ynduráin, Phys. Rev. D 68, 074005 (2003); J. Caprini et al., ibid. 68, 074006 (2003). [24] M. Prakash, M. Prakash, R. Venugopalan, and G. Welke, Phys. Rev. Lett. 70, 1228 (1993). | |
| dspace.entity.type | Publication | |
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| relation.isAuthorOfPublication | 6290fe55-04e6-4532-91e6-1df735bdbdca | |
| relation.isAuthorOfPublication.latestForDiscovery | 16523fad-99a9-422c-9a8e-c949ccffadec |
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