SHOCK WAVES IN LIFSHITZ-LIKE BACKGROUNDS AND HOLOGRAPHIC DESCRIPTION OF QGP
A holographic duality between gravitation and field theories with a Lifshitz scaling symmetry has recently aroused much attention. We consider Lifshitz-like backgrounds in the context of their applications to the anisotropic quark-gluon plasma created in heavy-ion collisions. We construct shock waves geometries for Lifshitz-like metrics1. For the geometry of two colliding Lifshitz domain walls the areas of trapped surfaces are calculated. According to the holographic approach, the multiplicity of particles produced in heavy-ion collisions can be estimated by the area of the trapped surface. We show that in the 5-dimensional case the dependence of multiplicity on the energy of colliding ions can fit the experimental data observed at RHIC and LHC.
Keywords: Lifshitz-like metrics, shock waves, trapped surface, holography, quark-gluon plasma
References:
[1] Aref’eva I. Ya. and Golubtsova A. A., 2014 Shock waves in Lifshitz-like spacetimes; [arXiv:1410.4595].
[2] Gubser S. S. et al. 2008 Phys. Rev. D 78 (2008) 066014; [arXiv:0805.1551].
[3] Lin S. and Shuryak E. 2009 Phys. Rev. D 79 124015; [arXiv:0902.1508].
[4] Aref’eva I. Ya. et al. 2012 JHEP 1205 117; [arXiv:1201.6542].
[5] Kachru S. et al. 2008 Phys. Rev. D78 106005; [arXiv:0905.0688].
[6] Pal S. 2009 Anisotropic gravity solutions in AdS/CMT; [arXiv:0901.0599].
[7] Mateos D. and Trancanelli D. 2011 JHEP 1107 054; [ arXiv:1106.1637].
[8] Azeyanagi T. et al. 2009 JHEP 0906 084; [arXiv:0905.0688].
[9] Aref’eva I. Ya. et al. 2014 Theor. and Math. Phys. 176, 861-872; [arXiv:1401.1180v1].
[10] Sfetsos K. 1995 Nucl. Phys. B 436 721; [hep-th/9408169].
Issue: 12, 2014
Series of issue: Issue 12
Pages: 94 — 99
Downloads: 772