Abstract

We extend our analysis of holographic meson dissociation in the presence of an intense magnetic field. In addition to the previously known critical temperature above which the mesons melt, we found that for certain magnetic field intensities there exists a second lower critical temperature, below which stable mesons cease to exist. While we showed before that there is a range of high temperatures for which mesons can be melted by changing the magnetic field intensity, here we show that, as a consequence of the second critical point, there is also a range of low temperatures for which this phenomenom, which we term Magnetic Meson Melting (MMM), can be triggered. Additionaly, we also show that the magnetic field decreases the mass gap of the meson spectrum along with their masses. We are able to observe this by constructing a configuration that makes it possible to apply gauge/gravity methods to study fundamental degrees of freedom in a quark-gluon plasma subject to a magnetic field as intense as that expected in high energy collisions. This is achieved by the confection of a ten-dimensional background that is dual to the magnetized plasma and nonetheless permits the embedding of D7-branes in it. The main difference with previous approaches, which in consequence gives the novel results, is that the magnetic field retroacts in the geometry itself, as opposed to be confined to the world volume of the probe D7-branes.

Highlights

  • The dependence of the meson spectrum on the magnetic field has been studied in different frameworks

  • While we showed before that there is a range of high temperatures for which mesons can be melted by changing the magnetic field intensity, here we show that, as a consequence of the second critical point, there is a range of low temperatures for which this phenomenom, which we term Magnetic Meson Melting (MMM), can be triggered

  • In this paper we employed holographic methods to study the effects of an external magnetic field over flavor degrees of freedom

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Summary

The gravitational background

The gravitational background is a solution to ten-dimensional SUGRA IIB that assymptotes AdS5 × S5 and admits a deformation that encodes the dual of a magnetic field in the gauge theory. We use the freedom to choose φ(rh) in order to fix ψ0 to a given value It was found in [33] that for any given ψ0 there exists a critical value for the intensity of the magnetic field bc/T 2 above which a singularity develops outside the horizon, indicating that the dual state in the gauge theory is unstable. In [33] it was shown that because of the presence of the magnetic field the dual theory features a conformal anomaly, given by the fact that the trace of the stressenergy tensor does not vanish for a non-zero magnetic field This causes some dimensionless observables not to depend only on dimensionless quantities such as b/T 2 and introduces a scheme dependent energy scale. The physical conclusion will be true regarding of the chosen scheme

Flavor D7-brane embeddings
Phase diagram
Thermodynamic analysis
Quark condensate
Free energy density
Entropy and energy densities
Meson spectrum
Discussion
A General truncation ansatz
B Boundary expansions of the background fields
C Holographic renormalization
D Computation of the quark condensate
Full Text
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