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115
Thermodynamics of the QCD plasma and the largeN limit
, 2009
"... The equilibrium thermodynamic properties of the SU(N) plasma at finite temperature are studied nonperturbatively in the largeN limit, via lattice simulations. We present highprecision numerical results for the pressure, trace of the energymomentum tensor, energy density and entropy density of SU( ..."
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Cited by 41 (4 self)
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The equilibrium thermodynamic properties of the SU(N) plasma at finite temperature are studied nonperturbatively in the largeN limit, via lattice simulations. We present highprecision numerical results for the pressure, trace of the energymomentum tensor, energy density and entropy density of SU(N) YangMills theories with N = 3, 4, 5, 6 and 8 colors, in a temperature range from 0.8Tc to 3.4Tc (where Tc denotes the critical deconfinement temperature). The results, normalized according to the number of gluons, show a very mild dependence on N, supporting the idea that the dynamics of the stronglyinteracting QCD plasma could admit a description based on largeN models. We compare our numerical data with general expectations about the thermal behavior of the deconfined gluon plasma and with various theoretical descriptions, including, in particular, the improved holographic QCD model recently proposed by Kiritsis and collaborators. We also comment on the relevance of an AdS/CFT description for the QCD plasma in a phenomenologically interesting temperature range where the system, while still stronglycoupled, approaches a ‘quasiconformal’ regime characterized by approximate scale invariance. Finally, we perform an extrapolation of our
Improved Holographic YangMills at Finite Temperature: Comparison with Data,” Nucl
 Phys. B
, 2009
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Deconfinement and Gluon Plasma Dynamics in Improved Holographic QCD
, 804
"... Abstract: The finite temperature physics of the pure glue sector in the improved holographic QCD model of ArXiv:0707.1324 and ArXiv:0707.1349 is addressed. The thermodynamics of 5D dilaton gravity duals to confining gauge theories is analyzed. We show that they exhibit a first order HawkingPage typ ..."
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Cited by 13 (0 self)
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Abstract: The finite temperature physics of the pure glue sector in the improved holographic QCD model of ArXiv:0707.1324 and ArXiv:0707.1349 is addressed. The thermodynamics of 5D dilaton gravity duals to confining gauge theories is analyzed. We show that they exhibit a first order HawkingPage type phase transition. In the explicit background of ArXiv:0707.1349, we find Tc = 235 MeV. The temperature dependence of various thermodynamic quantities such as the pressure, entropy and speed of sound is calculated. The results show a good agreement with the corresponding lattice data. – 1 –
Heavy Ion Collisions with Transverse Dynamics from Evolving
 AdS Geometries, JHEP 1009
, 2010
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Gauge/String Duality, Hot QCD and Heavy Ion Collisions
, 2014
"... Over the last decade, both experimental and theoretical advances have brought the need for strong coupling techniques in the analysis of deconfined QCD matter and heavy ion collisions to the forefront. As a consequence, a fruitful interplay has developed between analyses of stronglycoupled nonabel ..."
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Cited by 10 (0 self)
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Over the last decade, both experimental and theoretical advances have brought the need for strong coupling techniques in the analysis of deconfined QCD matter and heavy ion collisions to the forefront. As a consequence, a fruitful interplay has developed between analyses of stronglycoupled nonabelian plasmas via the gauge/string duality (also referred to as the AdS/CFT correspondence) and the phenomenology of heavy ion collisions. We review some of the main insights gained from this interplay to date. To establish a common language, we start with an introduction to heavy ion phenomenology and finitetemperature QCD, and a corresponding introduction to important concepts and techniques in the gauge/string duality. These introductory sections are written for nonspecialists, with the goal of bringing readers ranging from beginning graduate students to experienced practitioners of either QCD or gauge/string duality to the point that they understand enough about both fields that they can then appreciate their interplay in all appropriate contexts. We then review the current stateofthe art in the application of the duality to the description of the dynamics of strongly coupled plasmas, with emphases that include: its thermodynamic, hydrodynamic and transport properties; the way it both modifies the dynamics of, and is perturbed by, highenergy or heavy quarks passing through it; and the physics of quarkonium mesons within it. We seek throughout to stress the lessons that can be extracted from these computations for heavy ion physics as well as to discuss future directions and open problems for the field. ar X iv
Holography and hydrodynamics for EMD theory with two Maxwell fields, JHEP 1303
, 2013
"... We use ‘generalized dimensional reduction ’ to relate a specific EinsteinMaxwellDilaton (EMD) theory, including two gauge fields, three neutral scalars and an axion, to higherdimensional AdS gravity (with no higherdimensional Maxwell field). In general, this is a dimensional reduction over compa ..."
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Cited by 6 (0 self)
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We use ‘generalized dimensional reduction ’ to relate a specific EinsteinMaxwellDilaton (EMD) theory, including two gauge fields, three neutral scalars and an axion, to higherdimensional AdS gravity (with no higherdimensional Maxwell field). In general, this is a dimensional reduction over compact Einstein spaces in which the dimension of the compact space is continued to nonintegral values. Specifically, we perform a nondiagonal KaluzaKlein (KK) reduction over a torus, involving two KK gauge fields. Our aim is to determine the holographic dictionary and hydrodynamic behaviour of the lowerdimensional theory by performing the generalized dimensional reduction on AdS. We study a specific example of a black brane carrying a wave, whose universal sector is described by gravity coupled to two Maxwell fields, three neutral scalars and an axion, and compute the first order transport coefficients of the dual theory. In these theories ζ̂s/η ̂ < 2 1/(d − 1) − ĉ2s, where ĉs is the speed of sound, violating a conjectured bound, but an alternative bound is satisfied. 1 ar
Heavy ions and string theory
"... We review a selection of recent developments in the application of ideas of string theory to heavy ion physics. Our topics divide naturally into equilibrium and nonequilibrium phenomena. On the nonequilibrium side, we discuss generalizations of Bjorken flow, numerical simulations of black hole fo ..."
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We review a selection of recent developments in the application of ideas of string theory to heavy ion physics. Our topics divide naturally into equilibrium and nonequilibrium phenomena. On the nonequilibrium side, we discuss generalizations of Bjorken flow, numerical simulations of black hole formation in asymptotically antide Sitter geometries, equilibration in the dual field theory, and hard probes. On the equilibrium side, we summarize improved holographic QCD, extraction of transport coefficients, inclusion of chemical potentials, and approaches to the phase diagram. We close with some possible directions for future research. 1 ar
Hyperscaling violation : a unified frame for effective holographic theories
 JHEP 1211 (2012) 061, [arXiv:1210.0540
"... We investigate systematic classifications of low energy and lower dimensional effective holographic theories with Lifshitz and Schrödinger scaling symmetries only using metrics in terms of hyperscaling violation (θ) and dynamical (z) exponents. Their consistent parameter spaces are constrained by ..."
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Cited by 5 (2 self)
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We investigate systematic classifications of low energy and lower dimensional effective holographic theories with Lifshitz and Schrödinger scaling symmetries only using metrics in terms of hyperscaling violation (θ) and dynamical (z) exponents. Their consistent parameter spaces are constrained by null energy and positive specific heat conditions, whose validity is explicitly checked against a previously known result. From dimensional reductions of many microscopic string solutions, we observe the classifications are tied with the number of scales in the original microscopic theories. Conformal theories do not generate a nontrivial θ for a simple sphere reduction. Theories with Lifshitz scaling with one scale are completely fixed by θ and z, and have a universal emblackening factor at finite temperature. Dimensional reduction of intersecting M2M5 requires, we call, spatial anisotropic exponents (]), along with z = 1, θ = 0, because of another scale. Theories with Schrödinger scaling show similar simple classifications at zero temperature, while require more care due to an additional parameter being a thermodynamic variable at finite temperature. ar X iv
AdS/QCD at the correlator level
, 2008
"... We derive and analyze predictions of both the hardwall and dilaton softwall AdS/QCD approximations for the scalar glueball correlator and decay constants. We confront the results with QCD information from the lattice, the operator product expansion (OPE), a hypothetical UV gluon mass associated wi ..."
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We derive and analyze predictions of both the hardwall and dilaton softwall AdS/QCD approximations for the scalar glueball correlator and decay constants. We confront the results with QCD information from the lattice, the operator product expansion (OPE), a hypothetical UV gluon mass associated with the shortdistance behavior of the heavyquark potential, and a lowenergy theorem based on the anomalous dilatational Ward identity. Both duals turn out to encode complementary aspects of the above, nonperturbative QCD physics. The OPE Wilson coefficients, in particular, are shown to provide a challenging testing ground for the impact of the strongly coupled holographic UV dynamics on dual gravity predictions. PoS(Confinement8)184 8th Conference Quark Confinement and the Hadron Spectrum