RT Journal Article T1 Bulk viscosity and the conformal anomaly in the pion gas A1 Fernández Fraile, Daniel A1 Gómez Nicola, Ángel AB We calculate the bulk viscosity of the massive pion gas within unitarized chiral perturbation theory. We obtain a low-temperature peak arising from explicit conformal breaking due to the pion mass and another peak near the critical temperature, dominated by the conformal anomaly through gluon condensate terms. The correlation between bulk viscosity and conformal breaking supports a recent QCD proposal. We discuss the role of resonances, heavier states, and large-N(c) counting. PB American Physical Society SN 0031-9007 YR 2009 FD 2009-03-27 LK https://hdl.handle.net/20.500.14352/44580 UL https://hdl.handle.net/20.500.14352/44580 LA eng NO [1] J. Adams et al. (STAR Collaboration), Phys. Rev. Lett. 92, 052302 (2004). [2] P. Romatschke and U. Romatschke, Phys. Rev. Lett. 99, 172301 (2007); H. Song and U. W. Heinz, Phys. Lett. B 658, 279 (2008); K. Dusling and D. Teaney, Phys. Rev. C 77, 034905 (2008). [3] F. Karsch, D. Kharzeev, and K. Tuchin, Phys. Lett. B 663, 217 (2008). [4] G. Torrieri, B. Tomasik, and I. Mishustin, Phys. Rev. C 77, 034903 (2008). [5] I. A. Shushpanov, J. I. Kapusta, and P. J. Ellis, Phys. Rev. C 59, 2931 (1999). [6] M. Cheng et al., Phys. Rev. D 77, 014511 (2008). [7] G. D. Moore and O. Saremi, J. High Energy Phys. 09 (2008) 015. [8] H. B. Meyer, Phys. Rev. Lett. 100, 162001 (2008); J. High Energy Phys. 08 (2008) 031. [9] K. Hubner, F. Karsch, and C. Pica, Phys. Rev. D 78, 094501 (2008). [10] P. Arnold, C. Dogan and G. D. Moore, Phys. Rev. D 74, 085021 (2006). [11] P. Gerber and H. Leutwyler, Nucl. Phys. B321, 387 (1989). [12] D. Fernández-Fraile and A. Gómez Nicola, Phys. Rev. D 73, 045025 (2006); Eur. Phys. J. A 31, 848 (2007). [13] D. Fernández-Fraile and A. Gómez Nicola, Int. J. Mod. Phys. E 16, 3010 (2007). [14] J. L. Goity and H. Leutwyler, Phys. Lett. B 228, 517 (1989). [15] S. Jeon, Phys. Rev. D 52, 3591 (1995); S. Jeon and L. G. Yaffe, Phys. Rev. D 53, 5799 (1996). [16] C. Song and V. Koch, Phys. Rev. C 55, 3026 (1997). [17] C. M. Hung and E. V. Shuryak, Phys. Rev. C 57, 1891 (1998); P. F. Kolb and R. Rapp, Phys. Rev. C 67, 044903 (2003). [18] S. Gavin, Nucl. Phys. A435, 826 (1985). [19] M. Prakash, M. Prakash, R. Venugopalan, and G. Welke, Phys. Rep. 227, 321 (1993). [20] J. W. Chen and J. Wang, arXiv:0711.4824. [21] A. Dobado and F. J. Llanes-Estrada, Eur. Phys. J. C 49, 1011 (2007). [22] A. Hosoya, M. A. Sakagami, and M. Takao, Ann. Phys. (N.Y.) 154, 229 (1984). [23] R. Horsley and W. Schoenmaker, Nucl. Phys. B280, 716 (1987). [24] D. Fernández-Fraile, A. Gómez Nicola, and E. T. Herruzo, Phys. Rev. D 76, 085020 (2007).[25] J. C. Collins, A. Duncan, and S. D. Joglekar, Phys. Rev. D 16, 438 (1977). [26] N. O. Agasian, JETP Lett. 74, 353 (2001). [27] H. Leutwyler, in Proceedings of Effective Field Theories of the Standard Model, Dobogokoe 1991, edited by Ulf G. Meissner (World Scientific, River Edge, NJ, 1992), pp. 193– 224. [28] K. Paech and S. Pratt, Phys. Rev. C 74, 014901 (2006). [29] J. Gasser and H. Leutwyler, Nucl. Phys. B250, 465 (1985). [30] D. Espriu, E. de Rafael, and J. Taron, Nucl. Phys. B345, 22 (1990); B355, 278 (1991)]. NO © 2009 The American Physical Soci.We are grateful to D. Kharzeev, G. D. Moore, and C. Pica for very useful comments. This research was partially funded by research contracts No. FPA2004-02602, No. FPA2005-02327, No. FPA2007-29115-E, No. PR34- 1856-BSCH, No. UCM-CAM 10309, and No. FPI-BES- 2005-6726. NO UCM-CAM DS Docta Complutense RD 28 abr 2024