A holographic model of deconfinement and chiral symmetry restoration

By O. Aharony, J. Sonnenschein, S. Yankielowicz. 2006

343 citations recorded by the source corpus.

Abstract We analyze the finite temperature behavior of the Sakai–Sugimoto model, which is a holographic dual of a theory which spontaneously breaks a U(Nf)L × U(Nf)R chiral flavor symmetry at zero temperature. The theory involved is a 4 + 1 dimensional supersymmetric SU(Nc) gauge theory compactified on a circle of radius R with anti-periodic boundary conditions for fermions, coupled to Nf left-handed quarks and Nf right-handed quarks which are localized at different points on the compact circle (separated by a distance L). In the supergravity limit which we analyze (corresponding in particular to the large Nc limit of the gauge theory), the theory undergoes a deconfinement phase transition at a temperature Td = 1/2πR. For quark separations obeying L > Lc ≃ 0.97 ∗ R the chiral symmetry is restored at this temperature, but for L

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/417be179383b4051199a22c61852f654d96efada

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Citations in the corpus

Mesons in gauge/gravity duals (2007, methodology): “That model also displays a first order meson melting transition as described in [210, 194].”
Holographic melting and related properties of mesons in a quark-gluon plasma (2006, background): “…require coupling of the string sigma model to the fields on the worldvolume of the brane, and will be discussed elsewhere. trivial metric, ds2con = ( u RD4 )3/2 [ dt2 + δij dx idxj + fΛ(u)(dx 4)2 ] + ( RD4 u )3/2 [ du2 fΛ(u) + u2dΩ4 ] , (1) as well as a non-constant dilaton and a four-form RR…”
Chiral symmetry breaking as open string tachyon condensation (2007, background): “The demonstration presented in this paper, namely that confinement is a sufficient condition for spontaneous chiral symmetry breaking, can be thought of as a reformulation of the geometrical picture of [9].”
Gauge/String Duality, Hot QCD and Heavy Ion Collisions (2011, methodology): “This has been used as the starting point of the Sakai-Sugimoto model for QCD [346, 347], which incorporates spontaneous chiral symmetry breaking and its restoration at high temperatures [348, 349].”
Holography and thermodynamics of 5D dilaton-gravity (2008, background): “The finite temperature dynamics of gauge theories, has a natural holographic counterpart in the thermodynamics of black-holes on the gravity side, and the thermal properties of various holographic constructions have been widely studied, [4, 6, 8, 7, 9, 10], exhibiting the holographic version of deco”
Holographic chiral phase transition with chemical potential (2006, background): “[11] that this gauge symmetry corresponds to a flavor chiral symmetry of quarks.”
Holographic Thermodynamics at Finite Baryon Density: Some Exact Results (2007, positive): “Another holographic model of QCD at finite baryon density, the D4/D8 system, and specifically the Sakai-Sugimoto model [21], has received a great deal of attention recently [22–29].”
Cold Nuclear Matter In Holographic QCD (2007, background): “The behavior at finite temperature was analyzed in [22].”
Inverse magnetic catalysis in dense holographic matter (2010, background): “Interestingly, the free energy difference in our holographic calculation assumes the same form for asymptotically large B if we identify M = u0R/(2πα ′) [45, 50], as we can see from eq.”