The Dynamics of Quark-Gluon Plasma and AdS/CFT

180

388

For a specific action supporting z = 2 Lifshitz geometries we identify the Lifshitz UV completion by solving for the most general solution near the Lifshitz boundary. We identify all the sources as leading components of bulk fields which requires a vielbein formalism. This includes two linear combinations of the bulk gauge field and timelike vielbein where one asymptotes to the boundary timelike vielbein and the other to the boundary gauge field. The geometry induced from the bulk onto the boundary is a novel extension of Newton-Cartan geometry that we call torsional Newton-Cartan (TNC) geometry. There is a constraint on the sources but its pairing with a Ward identity allows one to reduce the variation of the on-shell action to unconstrained sources. We compute all the vevs along with their Ward identities and derive conditions for the boundary theory to admit conserved currents obtained by contracting the boundary stress-energy tensor with a TNC analogue of a conformal Killing vector. We also obtain the anisotropic Weyl anomaly that takes the form of a Hořava-Lifshitz action defined on a TNC geometry. The Fefferman-Graham expansion contains a free function that does not appear in the variation of the on-shell action. We show that this is related to an irrelevant deformation that selects between two different UV completions.

Section: Scope and Motivationmentioning

confidence: 99%

“…Dimensional reduction of the action (2.1) can be performed using the ansatz 8) where the four dimensional unhatted fields are independent of the fifth coordinate u which is periodically identified u ∼ u + 2πL, giving…”

Section: The Modelmentioning

confidence: 99%

Boundary stress-energy tensor and Newton-Cartan geometry in Lifshitz holography

Christensen¹,

Hartong²,

Obers³

et al. 2014

180

388

“…holography (see, e.g., [6,7]). These applications of the AdS/CFT correspondence to the strongly coupled QGP have been mostly related to equilibrium properties of the plasma or to its kinetics/hydrodynamics near equilibrium.…”

Section: Jhep05(2012)117mentioning

confidence: 99%

“…The AdS 5 BH in the Fefferman-Graham coordinates has form (2.2) with the following nonzero components of g µν (x ρ , z) (see [6,7] and the references therein):…”

Section: Jhep05(2012)117mentioning

confidence: 99%

Holographic phase diagram of quark-gluon plasma formed in heavy-ion collisions

Aref’eva

Bagrov

Pozdeeva

2012

We use a holographic dual model for the heavy-ion collision to obtain the phase diagram of the quark-gluon plasma (QGP) formed at a very early stage just after the collision. In this dual model, colliding ions are described by the charged gravitational shock waves. Points on the phase diagram correspond to the QGP or hadronic matter with given temperatures and chemical potentials. The phase of the QGP in dual terms is related to the case where the collision of shock waves leads to the formation of a trapped surface. Hadronic matter and other confined states correspond to the absence of a trapped surface after collision. In the dual language, the multiplicity of the ion collision process is estimated as the area of the trapped surface. We show that a nonzero chemical potential reduces the multiplicity. To plot the phase diagram, we use two different dual models of colliding ions, the pointlike and the wall shock waves, and find that the results agree qualitatively.

“…Boost-invariant expanding N = 4 SU(N ) plasmas out of equilibrium can however be described by the time-dependent background found in [4] (see [32,33] for a review). In the following we review the basic features of this background and discuss the embedding of probe D7 branes dual to quenched flavours ("quarks") in the plasma.…”

Section: A Boost-invariant Expanding Plasmamentioning

confidence: 99%

Non-equilibrium physics at a holographic chiral phase transition

Evans

Kalaydzhyan

Kim

et al. 2011

The D3/D7 system holographically describes an N =2 gauge theory which spontaneously breaks a chiral symmetry by the formation of a quark condensate in the presence of a magnetic field. At finite temperature it displays a first order phase transition. We study out of equilibrium dynamics associated with this transition by placing probe D7 branes in a geometry describing a boost-invariant expanding or contracting plasma. We use an adiabatic approximation to track the evolution of the quark condensate in a heated system and reproduce the phase structure expected from equilibrium dynamics. We then study solutions of the full partial differential equation that describes the evolution of out of equilibrium configurations to provide a complete description of the phase transition including describing aspects of bubble formation.