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Field Theories Without a Holographic Dual
High Energy Physics - Theory · Submitted 8 Jun 2016
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We argue that, \emph{provided} that due care is taken to include the effects of the angular momentum associated with the magnetic fields experienced by the plasmas produced by peripheral collisions, the existence of the dual can be established for the RHIC plasmas.
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The abstract, sentence by sentence
In applying the gauge-gravity duality to the quark-gluon plasma, one models the plasma using a particular kind of field theory with specified values of the temperature, magnetic field, and so forth. One then assumes that the bulk, an asymptotically AdS black hole spacetime with properties chosen to match those of the boundary field theory, can be embedded in string theory. But this is not always the case: there are field theories with no bulk dual. The question is whether these theories might include those used to study the actual plasmas produced at such facilities as the RHIC experiment or the relevant experiments at the LHC. We argue that, \emph{provided} that due care is taken to include the effects of the angular momentum associated with the magnetic fields experienced by the plasmas produced by peripheral collisions, the existence of the dual can be established for the RHIC plasmas. In the case of the LHC plasmas, the situation is much more doubtful.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | In applying the gauge-gravity duality to the quark-gluon plasma, one models the plasma using a particular kind of field theory with specified values of the temperature, magnetic field, and so forth. | background 0.99 | 0.07 | 0.02 | asserted 1.00 |
| s1 | One then assumes that the bulk, an asymptotically AdS black hole spacetime with properties chosen to match those of the boundary field theory, can be embedded in string theory. | background 0.85 | 0.07 | 0.02 | asserted 0.74 |
| s2 | But this is not always the case: there are field theories with no bulk dual. | background 0.63 | 0.13 | 0.17 | asserted 1.00 |
| s3 | The question is whether these theories might include those used to study the actual plasmas produced at such facilities as the RHIC experiment or the relevant experiments at the LHC. | gap 0.88 | 0.06 | 0.04 | speculative 0.63 |
| s4 | We argue that, \emph{provided} that due care is taken to include the effects of the angular momentum associated with the magnetic fields experienced by the plasmas produced by peripheral collisions, the existence of the dual can be established for the RHIC plasmas. | result 0.87 | 0.69 | 0.74 | asserted 0.63 |
| s5 | In the case of the LHC plasmas, the situation is much more doubtful. | result 0.58 | 0.55 | 0.09 | hedged possibility 0.48 |
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The paper
Original abstract
In applying the gauge-gravity duality to the quark-gluon plasma, one models the plasma using a particular kind of field theory with specified values of the temperature, magnetic field, and so forth. One then assumes that the bulk, an asymptotically AdS black hole spacetime with properties chosen to match those of the boundary field theory, can be embedded in string theory. But this is not always the case: there are field theories with no bulk dual. The question is whether these theories might include those used to study the actual plasmas produced at such facilities as the RHIC experiment or the relevant experiments at the LHC. We argue that, \emph{provided} that due care is taken to include the effects of the angular momentum associated with the magnetic fields experienced by the plasmas produced by peripheral collisions, the existence of the dual can be established for the RHIC plasmas. In the case of the LHC plasmas, the situation is much more doubtful.
Human review
How the literature uses it
4 arXiv papers cite this in 14 sentences
Papers citing it · 13 sentences without a confident label
Contests it 1 paper
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In [ref] we argued that the problem here is that the computations in [ref] (which was concerned with a different application, to cosmological magnetic fields) neglected an important physical effect: the fact that these collisions involve not just large magnetic fields, but also large angular momentum densities, as predicted in [ref] , and possibly observed by the STAR collaboration [ref] .
Holography of the QGP Reynolds Number · Section · contest 0.80
What it cites · 103 sentences without a confident label
Builds on 2 papers
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In fact, simple modifications of the calculations in [ref] (which discussed the Lorentzian case) show that this function is never negative if and only if [equation]
Holography of Little Inflation · Section · 0.97
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These dyonic metrics generalize the “KMV$_0$” metrics given by Klemm, Moretti, and Vanzo [ref] as the first examples of “rotating” planar black holes; hence we call them the “$ℓ$dyKMV$_0$” metrics.
Rotating Topological Black Holes · Section · 0.80
Uses the method or tool of 1 paper
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We can now compute $𝔖^𝔈(ℓdyKMV_0)(r)$: it is given, for $a ≠0$ (see [ref] for the relevant techniques), as usual up to a positive constant, by [equation] As explained above, all of the constants in this expression are known or can be computed, given the boundary data $T$, $μ_B$, $B_m$, $a$, $V$, and $L$.
Generalised Planar Black Holes and the Holography of Hydrodynamic Shear · Section · 0.97
Uses data or values from 8 papers
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Recent discussions (for example [ref] ) have led to estimates of the maximal RHIC magnetic field of around $eB ≈5 ×m_π^2$, putting $B ≈8.35$ fm$^-2$, still less than, but uncomfortably close to, the right side of the inequality (as above, $≈13.97$ fm$^-2$).
Electromagnetic field evolution in relativistic heavy-ion collisions · Section · 0.95
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In [ref] , the estimate for collisions at the LHC [ref] was that $B$ should be around 15 times larger than at the RHIC, whereas the temperature only increases to about 300 MeV: the left side of ([ref]) is then $≈25.1$ fm$^-2$, while the right side is $≈25.8$ fm$^-2$.
Heavy-ion collisions at the Large Hadron Collider: a review of the results from Run 1 · Section · 0.94
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In [ref] , the estimate for collisions at the LHC [ref] was that $B$ should be around 15 times larger than at the RHIC, whereas the temperature only increases to about 300 MeV: the left side of ([ref]) is then $≈25.1$ fm$^-2$, while the right side is $≈25.8$ fm$^-2$.
Estimate of the magnetic field strength in heavy-ion collisions · Section · 0.94
Cites as background 27 papers
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The first point is that we stress that the consistency condition we have used here is just one aspect of the complex investigated in [ref] .
Gravity and On-Shell Probe Actions · Section · 0.87
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The first point is that we stress that the consistency condition we have used here is just one aspect of the complex investigated in [ref] .
Holography, Probe Branes and Isoperimetric Inequalities · Section · 0.87
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The first point is that we stress that the consistency condition we have used here is just one aspect of the complex investigated in [ref] .
Gauge Theories, D-Branes and Holography · Section · 0.87
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