Holographic phase transitions at finite chemical potential

Matéos, David; Matsuura, Shunji; Myers, Robert C.; Thomson, Rowan M.

doi:10.1088/1126-6708/2007/11/085

Cited by 113 publications

(150 citation statements)

References 65 publications

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“…In particular, there are unstable regions in the phase diagrams. Studies of finite chemical potential and finite density effects for D7 brane probes in the AdS-Schwarzschild background may be found in [101,[202][203][204][205][206][207][208][209][210].…”

Section: More Thermodynamicsmentioning

confidence: 99%

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Mesons in gauge/gravity duals

et al. 2008

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Abstract. We review recent progress in studying mesons within gauge/gravity duality, in the context of adding flavour degrees of freedom to generalizations of the AdS/CFT correspondence. Our main focus is on the "top-down approach" of considering models constructed within string theory. We explain the stringtheoretical constructions in detail, aiming at non-specialists. These give rise to a new way of describing strongly coupled confining large-N gauge theories similar to large-N QCD. In particular, we consider gravity dual descriptions of spontaneous chiral symmetry breaking, and compare with lattice results. A further topic covered is the behaviour of flavour bound states in finite-temperature field theories dual to a gravity background involving a black hole. We also describe the "bottom up" phenomenological approach to mesons within AdS/QCD. Some previously unpublished results are also included.PACS. 11.15.-q Gauge field theories -11.25.Tq Gauge/string duality -12.40.Yx Hadron mass models and calculations -14.40.-n Mesons

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Section: More Thermodynamicsmentioning

confidence: 99%

“…As an example we consider here spectral functions at finite temperature and the quark chemical potential as discussed in [209]. The phase diagram was found in [202,205] and is displayed in fig. 29.…”

Section: More Thermodynamicsmentioning

confidence: 99%

Mesons in gauge/gravity duals

et al. 2008

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“…together with the constitutive equation for the energy-momentum tensor 52) with the (internal) energy density ǫ, the pressure P The constitutive equation (3.52) is obtained by writing down all possible terms in an expansion in powers of spatial derivatives of hydrodynamic variables to leading order. We can also include the next to leading order yielding…”

Section: Relativistic Hydrodynamicsmentioning

confidence: 99%

“…In this context we will review the thermodynamics at finite U(1) baryon density [42] or finite baryon chemical potential [52] in section 4.3. Investigating the effects of isospin and the non-Abelian part of the flavor group we will develop the thermodynamics for the non-Abelian part SU(N f ) of the full flavor gauge symmetry U(N f ).…”

Section: Holographic Thermo-and Hydrodynamicsmentioning

confidence: 99%

“…Further studies have shown that on the gravity side a geometric transition (see section 2.1.1) corresponds to a deconfinement transition for the fundamental matter in the thermal gauge theory. At the moment the flavored extension of the relation between hydrodynamics and black hole physics is under intense investigation [43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61, incomplete list of closely related work]. So far the effect of finite chemical baryon potential in the gauge theory and the structure of the phase diagram of these theories have been explored.…”

Section: Introductionmentioning

confidence: 99%

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Holographic quark gluon plasma with flavor

Kaminski

2009

Fortschritte der Physik

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In this work I explore theoretical and phenomenological implications of chemical potentials and charge densities inside a strongly coupled thermal plasma, using the gauge/gravity correspondence. Strong coupling effects discovered in this model theory are interpreted geometrically and may be taken as qualitative predictions for heavy ion collisions at RHIC and LHC. In particular I examine the thermodynamics, spectral functions, transport coefficients and the phase diagram of the strongly coupled plasma. For example stable mesons, which are the analogs of the QCD Rho-mesons, are found to survive beyond the deconfinement transition. This paper is based on partly unpublished work performed in the context of my PhD thesis. New results and ideas extending significantly beyond those published until now are stressed.

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Gauge/gravity duality applied to condensed matter systems

Ammon

2010

Fortschritte der Physik

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In this review we investigate phenomena of strongly‐coupled quantum critical theories, which also appear in condensed matter systems. Using the AdS/CFT correspondence, a technique motivated by string theory, the strongly‐coupled scale‐invariant theories can be related to gravity theories at weak coupling. Within this framework we study the holographic description of superconductors and the emerging fermi surface of strongly coupled fermions. We also calculate the conductivity of alternating currents and determine the direct current conductivity for (non‐) relativistic systems beyond linear response. Since the explicit string theory construction in terms of probe branes embedded in type IIB supergravity is explicitly known, we are able to identify the dual operators on the field theory side and can compare the effects at weak and strong coupling.

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Holographic phase transitions at finite chemical potential

Cited by 113 publications

References 65 publications

Mesons in gauge/gravity duals

Mesons in gauge/gravity duals

Holographic quark gluon plasma with flavor

Gauge/gravity duality applied to condensed matter systems

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