Instability of a magnetized QGP sourced by a scalar operator

Abstract

We use the gauge/gravity correspondence to study the thermodynamics of a magnetized quark-gluon plasma in the presence of a scalar operator of dimension $\Delta =2$. We proceed by working in a five-dimensional gauged supergravity theory, where we numerically construct an asymptotically AdS${}_5$ background that describes a black D3-brane in the presence of a magnetic and a scalar fields. We study the asymptotic behavior of the background and its fields close to the AdS${}_5$ region to latter perform a thermodynamic analysis of the solution that includes the renormalization of the free energy associated to it. We find that because of the presence of the scalar operator, there exists a maximum intensity for the magnetic field that the plasma can hold, while for any given intensity smaller than that value, there are two states that differ in their vacuum expectation value for the scalar operator. We show that one of the two branches just mentioned is thermodynamically favored over the other.

arXiv comment28 pages, 10 figures. Version accepted for publication on JHEP. We have extended our discussion about the possible phase transition in section 2. We also added discussion about fixing the renormalization scheme, and remarked that our conclusions are scheme independent. References added

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Cited by in corpus (5)

• Magnetising the $\mathcal{N}=4$ Super Yang-Mills plasma
• Melting holographic mesons by cooling a magnetized quark gluon plasma
• Melting holographic mesons by applying a magnetic field
• Darker and brighter branes: Suppression and enhancement of photon production in a strongly coupled magnetized plasma
• Complexity of Magnetization and Magnetic Simplification