Holographic deconfinement transition in the presence of a magnetic field

Ballon-Bayona, Alfonso

doi:10.1007/jhep11(2013)168

Cited by 32 publications

(47 citation statements)

References 43 publications

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“…An interesting parallel between the phase diagram of (quenched) QCD at finite θ B ≡ µ B /T c (0) (where µ B is the imaginary baryon chemical potential 28 and T c (0) the critical temperature at µ B = 0) and that of the pure Yang-Mills theory at finite θ angle has been traced in [41]. Let us describe this relation and its realization in the holographic model at hand.…”

Section: Finite θ and Imaginary Chemical Potentialmentioning

confidence: 99%

“…It is notable that if condition (3.26) is satisfied, the constraint (3.24) following from the zero energy condition is automatically satisfied too. Further considerations on the integration constants can be done by observing that, for the IR regular solutions selected by (3.26) 28) consistently with the equationχ = 0 valid to all orders in f . Comparing (3.28) with its zero-th order relative (3.17) we see that C 2 can be interpreted as a rescaling of the radial coordinate, while 2A 1 + A 2 can be read as a correction to the string coupling g s .…”

Section: Jhep01(2015)104mentioning

confidence: 99%

“…As far as we know, the covariant counterterms needed to renormalize the action of this very well known model are not present in the literature. In the paper [28], where the WSS model in an external magnetic field is considered, counterterms for the probe D8-branes are provided, but they are not written in a covariant way. A contingent reason why we need to holographically renormalize the theory is that we want to compute the free energy of the model.…”

Section: Holographic Renormalization Of the Witten-sakai-sugimoto Modelmentioning

confidence: 99%

“…one might naively conclude that, at zero chemical potential, the effect of the flavors is that of increasing the critical temperature (see also [28]). Of course this is a scheme-dependent statement which means that, as in QCD [37], it depends on which appropriately chosen physical observable (e.g.…”

Section: The Critical Temperaturementioning

confidence: 99%

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Holographic QCD with dynamical flavors

Bigazzi

Cotrone

2015

J. High Energ. Phys.

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Gravity solutions describing the Witten-Sakai-Sugimoto model of holographic QCD with dynamical flavors are presented. The field theory is studied in the Veneziano limit, at first order in the ratio of the number of flavors and colors. The gravity solutions are analytic and dual to the field theory either in the confined, low temperature phase or in the deconfined, high temperature phase with small baryonic charge density. The phase diagram and the flavor contributions to vacuum (e.g. string tension and hadron masses) and thermodynamical properties of the dual field theory are then deduced. The phase diagram of the model at finite temperature and imaginary chemical potential, as well as that of the unflavored theory at finite θ angle are also discussed in turn, showing qualitative similarities with recent lattice studies. Interesting degrees of freedom in each phase are discussed. Covariant counterterms for the Witten-Sakai-Sugimoto model are provided both in the probe approximation and in the backreacted case, allowing for a standard holographic renormalization of the theory.

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Section: Finite θ and Imaginary Chemical Potentialmentioning

confidence: 99%

Section: Jhep01(2015)104mentioning

confidence: 99%

Section: Holographic Renormalization Of the Witten-sakai-sugimoto Modelmentioning

confidence: 99%

Section: The Critical Temperaturementioning

confidence: 99%

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Holographic QCD with dynamical flavors

Bigazzi

Cotrone

2015

J. High Energ. Phys.

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“…In this paper we developed, for the first time, a bottom-up holographic model that pro- An interesting feature of our holographic model that distinguishes it from other constructions (such as [109,110]) is that the suppression of the crossover temperature with the external magnetic field found here is directly tied to a quantitative description of near crossover lattice QCD thermodynamics at B = 0. It would be desirable to generalize the present holographic model by taking into account the contribution of the chiral condensate.…”

Section: Concluding Remarks and Perspectivesmentioning

confidence: 99%

Holographic calculation of the QCD crossover temperature in a magnetic field

2016

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Lattice data for the QCD equation of state and the magnetic susceptibility computed near the crossover transition at zero magnetic field are used to determine the input parameters of a five dimensional Einstein-Maxwell-Dilaton holographic model. Once the model parameters are fixed at zero magnetic field, one can use this holographic construction to study the effects of a magnetic field on the equilibrium and transport properties of the quark-gluon plasma. In this paper we use this model to study the dependence of the crossover temperature with an external magnetic field. Our results for the pressure of the plasma and the crossover temperature are in quantitative agreement with current lattice data for values of the magnetic field 0 ≤ eB 0.3 GeV 2 , which is the relevant range for ultrarelativistic heavy ion collision applications.

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Confining gauge theories and holographic entanglement entropy with a magnetic field

Dudal

Mahapatra

2017

J. High Energ. Phys.

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Abstract:We consider the soft wall model for a heuristic holographical modelling of a confining gauge theory and discuss how the introduction of a (constant) magnetic field influences the (de)confinement phase structure. We use the entanglement entropy as a diagnostic tool in terms of the length of an entangling strip geometry. Due to the anisotropy introduced by the magnetic field, we find that the results depend on the orientation of the strip relative to the field. This allows to identify a richer, anisotropic, interplay between confinement and a magnetic field than possibly can be extracted from a more standard order parameter as, for example, the Polyakov loop expectation value.

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Holographic deconfinement transition in the presence of a magnetic field

Cited by 32 publications

References 43 publications

Holographic QCD with dynamical flavors

Holographic QCD with dynamical flavors

Holographic calculation of the QCD crossover temperature in a magnetic field

Confining gauge theories and holographic entanglement entropy with a magnetic field

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