DBI equations and holographic dc conductivity

Ballon-Bayona, Alfonso; Ferreira, Cristine Nunes; Otoya, V. J. Vasquez

doi:10.1103/physrevd.87.106007

Cited by 6 publications

(5 citation statements)

References 35 publications

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“…In this appendix we show some identities that are very useful when solving the DBI-CS equations (for more details cf. [46]). First of all, we recall that the DBI action can be written in terms of √ −E where E is the determinant of the tensor…”

Section: A Identities For Dbi-cs Equationsmentioning

confidence: 99%

A universal order parameter for Inverse Magnetic Catalysis

Ballon-Bayona

Ihl

Shock

et al. 2017

J. High Energ. Phys.

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We revisit the chiral transition in the finite density Sakai-Sugimoto model and find that, at fixed temperature T , the magnetisation near the critical line µ c (B) acts as an order parameter to distinguish Inverse Magnetic Catalysis from Magnetic Catalysis. Moreover, we propose a universal relation between µ c (B) and the magnetisation that allows us to predict the behaviour of the former from the behaviour of the latter. We find that a similar relation holds, at fixed chemical potential µ, for the critical line T c (B). Our results are obtained by investigating a fully numerical solution to the relevant equations. At low temperatures our results reduce to those obtained by Preis, Rebhan and Schmitt [1], based on a semi-analytic approximation.

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Section: A Identities For Dbi-cs Equationsmentioning

confidence: 99%

A universal order parameter for Inverse Magnetic Catalysis

Ballon-Bayona

Ihl

Shock

et al. 2017

J. High Energ. Phys.

Self Cite

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“…The behavior has been also associated (see, e.g., Refs. [42,[97][98][99][100]) with the paramagnetic properties of the Quark-Gluon Plasma (QGP) phase, which have clearly emerged from several lattice QCD studies [101][102][103][104][105]. Moreover, the magnetic field affects many properties of the gluon fields [38,39,[106][107][108][109][110][111] through the indirect coupling with them induced by dynamical quarks.…”

Section: Introductionmentioning

confidence: 99%

QCD phase diagram in a magnetic background for different values of the pion mass

et al. 2018

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We investigate the behavior of the pseudo-critical temperature of N f = 2+1 QCD as a function of a static magnetic background field for different values of the pion mass, going up to mπ ≃ 660 MeV. The study is performed by lattice QCD simulations, adopting a stout staggered discretization of the theory on lattices with Nt = 6 slices in the Euclidean temporal direction; for each value of the pion mass the temperature is changed moving along a line of constant physics. We find that the decrease of Tc as a function of B, which is observed for physical quark masses, persists in the whole explored mass range, even if the relative variation of Tc appears to be a decreasing function of mπ, approaching zero in the quenched limit. The location of Tc is based on the renormalized quark condensate and its susceptibility; determinations based on the Polyakov loop lead to compatible results. On the contrary, inverse magnetic catalysis, i.e. the decrease of the quark condensate as a function of B in some temperature range around Tc, is not observed when the pion mass is high enough. That supports the idea that inverse magnetic catalysis might be a secondary phenomenon, while the modifications induced by the magnetic background on the gauge field distribution and on the confining properties of the medium could play a primary role in the whole range of pion masses.

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“…The introduction of the defect in this type of systems gives us current properties in these materials and it may become a relevant aspect of our work, opening up new application possibilities for our model. Another issue that we can pick up to study is the behavior of the objects near these systems [35] with both regimes for 2 ψ .…”

Section: Closing Remarksmentioning

confidence: 99%

On the Thermodynamical Black Hole Stability in the Space-Time of a Global Monopole in <i>f</i>(<i>R</i>)-Gravity

Lustosa¹,

Guimarães²,

Ferreira³

et al. 2019

JHEPGC

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In this work, we reassess a class of black hole solutions in a global monopole spacetime in the framework of an () f R-gravity model. Our main line of investigation consists in considering a region close enough to the black hole, but such that the weak field approximation is still valid. The stability of the black hole is studied in terms of its thermodynamical properties, with the radial coordinate written as a power-law function with the status of the main factor underneath the stability of the model. We obtain the explicit expressions for the thermodynamical quantities of the black hole as functions of the event horizon, by considering both the Hawking and the local temperatures. The phase transitions that may occur in this system, including the Hawking-Page phase transition, are inspected with particular attention. We work out and contemplate a solution of special interest in which one of the parameters is related to the cosmological constant. Our main result sets out to establish a comparison between both the Hawking and the local formalisms for the black hole in the framework of the () f R-gravity in the particular space-time adopted here.

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DBI equations and holographic dc conductivity

Cited by 6 publications

References 35 publications

A universal order parameter for Inverse Magnetic Catalysis

A universal order parameter for Inverse Magnetic Catalysis

QCD phase diagram in a magnetic background for different values of the pion mass

On the Thermodynamical Black Hole Stability in the Space-Time of a Global Monopole in <i>f</i>(<i>R</i>)-Gravity

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DBI equations and holographic dc conductivity

Cited by 6 publications

References 35 publications

A universal order parameter for Inverse Magnetic Catalysis

A universal order parameter for Inverse Magnetic Catalysis

QCD phase diagram in a magnetic background for different values of the pion mass

On the Thermodynamical Black Hole Stability in the Space-Time of a Global Monopole in &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;R&lt;/i&gt;)-Gravity

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On the Thermodynamical Black Hole Stability in the Space-Time of a Global Monopole in <i>f</i>(<i>R</i>)-Gravity