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Instability of a magnetized QGP sourced by a scalar operator
High Energy Physics - Theory · Submitted 5 Sep 2018
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim 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.
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The abstract, sentence by sentence
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.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | 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 $\Delta=2$. | contribution 0.97 | 0.93 | 0.04 | asserted 0.86 |
| s1 | 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. | method 0.99 | 0.94 | 0.02 | asserted 0.98 |
| s2 | 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. | method 0.99 | 0.92 | 0.03 | asserted 0.83 |
| s3 | 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. | result 1.00 | 0.96 | 0.69 | asserted 1.00 |
| s4 | We show that one of the two branches just mentioned is thermodynamically favored over the other. | result 1.00 | 0.95 | 0.27 | asserted 1.00 |
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The paper
Original 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.
Human review
How the literature uses it
2 arXiv papers cite this in 5 sentences
Papers citing it · 3 sentences without a confident label
Uses its data or values 1 paper
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Importantly, since the bound $b_c$ for the intensity of the magnetic field is inherited from the analysis in [ref] , this melting can only occur for a certain range in $T/M̅$.
Melting holographic mesons by applying a magnetic field · Magnetic meson melting (MMM) · 0.81
Cites it as background 1 paper
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Anisotropic effects in $3+1$ dimensional strongly coupled fluids have been previously investigated in AdS/CFT [ref] and holographic models for QCD [ref] .
Magnetising the ${\cal N}=4$ Super Yang-Mills plasma · Introduction · 0.99
What it cites · 32 sentences without a confident label
Uses the method or tool of 4 papers
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We will insert in the equations of motion a similar ansatz to the one in [ref] , written in a closer way to that in [ref] as [equation] With this choice, $F∧F=0$ and [ref] is also automatically satisfied, while [ref] and [ref] can be manipulated to give the system of differential equations [equation] of which four are of second order, while the remaining one is of first order and plays the role of a constriction that, once satisfied at a certain radius, will hold true for any $r$.
Magnetic Brane Solutions in AdS · Numerical solution · 0.97
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We will insert in the equations of motion a similar ansatz to the one in [ref] , written in a closer way to that in [ref] as [equation] With this choice, $F∧F=0$ and [ref] is also automatically satisfied, while [ref] and [ref] can be manipulated to give the system of differential equations [equation] of which four are of second order, while the remaining one is of first order and plays the role of a constriction that, once satisfied at a certain radius, will hold true for any $r$.
Brighter Branes, enhancement of photon production by strong magnetic fields in the gauge/gravity correspondence · Numerical solution · 0.97
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Even if BTZ$×R^2$, with its vanishing $φ$ for a non zero $B$, is not a solution of our current theory, it will still result convenient to introduce the expansions used in [ref] and include a similar expression for the scalar, so that all together we have [equation] and hence any member of the family of solutions has a horizon at $r_h$ with temperature given by [equation]
Velocity Statistics in Holographic Fluids: Magnetized Quark-Gluon Plasma and Superfluid Flow · Numerical solution · 0.91
Compares with 11 papers
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For intensities beyond $b_c$, the gravitational solution develops a naked singularity, indicating that the state is unstable in the same way that it was found in [ref] for a critical electric field, and in [ref] for a critical infinitesimal rotation.
Attempts at vacuum counterexamples to cosmic censorship in AdS · Physical parameters and maximum magnetic field · 0.91
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For intensities beyond $b_c$, the gravitational solution develops a naked singularity, indicating that the state is unstable in the same way that it was found in [ref] for a critical electric field, and in [ref] for a critical infinitesimal rotation.
Evidence for an Electrifying Violation of Cosmic Censorship · Physical parameters and maximum magnetic field · 0.91
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It is important to notice that the system in [ref] cannot be recovered from our current setting, since turning on any magnetic field demands a not constant, in particular not vanishing, scalar field, as can be seen for instance using our ansatz in ([ref]).
Brighter Branes, enhancement of photon production by strong magnetic fields in the gauge/gravity correspondence · Numerical solution · 0.89
Cites as background 7 papers
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In [ref] , a five-dimensional background was constructed so that its dual consisted of a gauge theory submerged in a constant magnetic field.
Magnetic Brane Solutions in AdS · Introduction and main results · 0.91
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Various physical observables have been computed using this gravitational background (see for example [ref] ), but the aforementioned truncation does not permit a simple introduction of D7 flavor branes in the $10D$ geometry.
Brighter Branes, enhancement of photon production by strong magnetic fields in the gauge/gravity correspondence · $5D$ Gauged Supergravity Truncation · 0.95
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Various physical observables have been computed using this gravitational background (see for example [ref] ), but the aforementioned truncation does not permit a simple introduction of D7 flavor branes in the $10D$ geometry.
Far-from-equilibrium dynamics of a strongly coupled non-Abelian plasma with non-zero charge density or external magnetic field · $5D$ Gauged Supergravity Truncation · 0.95
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