Thermodynamics of the brane
By D. Mateos, R. Myers, R. Thomson. 2007
307 citations recorded by the source corpus.
The holographic dual of a finite-temperature gauge theory with a small number of flavours typically contains D-brane probes in a black hole background. We have recently shown that these systems undergo a first order phase transition characterised by a `melting' of the mesons. Here we extend our analysis of the thermodynamics of these systems by computing their free energy, entropy and energy densities, as well as the speed of sound. We also compute the meson spectrum for brane embeddings outside the horizon and find that tachyonic modes appear where this phase is expected to be unstable from thermodynamic considerations.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/b9211ce4b3b188587c9bd7bfa9ba1fe27ac1a9ff
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Citations in the corpus
- Unquenched Flavor in the Gauge/Gravity Correspondence (2010, methodology): “For instance, one could consider massive embeddings in the search of a first order phase transition similar to those in [16],[141],[76].”
- String theory and quantum chromodynamics (2007, background): “One type of 1/Nc corrections associated to the effect of fundamental matter has also been calculated and shown to modify both η and s but to leave the ratio equal to 1/4π [23, 24].”
- Holographic Thermodynamics at Finite Baryon Density: Some Exact Results (2007, background): “A topology-changing phase transition exists between these two types of embeddings, which appears in the SYM theory as a first-order phase transition associated with the flavor fields as we change m/T [8–15].”
- Gauge/String Duality, Hot QCD and Heavy Ion Collisions (2011, methodology): “[565]), and the resulting possible values of c for each value of m are plotted in Fig.”
- Holographic phase transitions at finite chemical potential (2007, methodology): “where the dimensionless constantsm and c are proportional to the quark mass and condensate, respectively [6, 7].”
- Chiral symmetry breaking as open string tachyon condensation (2007, background): “The physics of fundamental matter in this regime is very rich and has been studied holographically (see [51] and references therein).”
- Mesons in gauge/gravity duals (2007, methodology): “Plots (taken from [34]) of the masses of the mesons associated with angular”
- Holographic meson melting (2006, result): “Near-critical embeddings have been shown to be thermodynamically unstable [37], both instabilities seem to be related because the appearance of tachyonic modes coincide with the onset of the thermodynamical instability, in agreement with [38].”
- Holographic phase transitions at finite baryon density (2006, methodology): “Following [1, 7], the black hole metric may be written as(4)”
- From Gauge-string duality to strong interactions: A Pedestrian's guide (2009, background): “(119, 120), or from the analysis of moving quark/anti-quark pairs as being described by semi-classical strings (121, 79, 122, 123).”
- Flavor superconductivity from gauge/gravity duality (2009, background): “13) has the same structure as the DBI action in [26,32,50] and since in these cases the counterterms do not depend on the finite densities, we can write the counterterms as in [26,32,50], Ict = − Nλ 4 [”
- Thermodynamics and instabilities of a strongly coupled anisotropic plasma (2011, methodology): “Interestingly, the factor on the right hand side is analogous to the one found [110, 111, 112]6 to control the backreaction period Lz < ∞.”
- Holographic spectral functions and diffusion constants for fundamental matter (2007, methodology): “This is significantly above both masses quoted above near the critical solution – recall that in general the meson masses decreased as the critical embedding was approached [10].”