An elementary stringy estimate of transport coefficients of large temperature QCD

Aldo L. Cotrone; Francesco Bigazzi

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An elementary stringy estimate of transport coefficients of large temperature QCD

Francesco Bigazzi, Aldo L. Cotrone

High Energy Physics - Phenomenology · Submitted 23 Jun 2010

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim Modeling QCD at large temperature with a simple holographic five dimensional theory encoding minimal breaking of conformality, allows for the calculation of all the transport coefficients, up to second order, in terms of a single parameter.

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arXiv ID1006.4634 (version 2)

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CitationAldo L. Cotrone, Francesco Bigazzi. "An elementary stringy estimate of transport coefficients of large temperature QCD." arXiv:1006.4634 (2010). https://pith.science/paper/XC3QPTVQ

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Modeling QCD at large temperature with a simple holographic five dimensional theory encoding minimal breaking of conformality, allows for the calculation of all the transport coefficients, up to second order, in terms of a single parameter. In particular, the shear and bulk relaxation times are provided. The result follows by deforming the AdS background with a scalar dual to a marginally relevant operator, at leading order in the deformation parameter.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	Modeling QCD at large temperature with a simple holographic five dimensional theory encoding minimal breaking of conformality, allows for the calculation of all the transport coefficients, up to second order, in terms of a single parameter.	contribution 0.60	0.81	0.80	asserted 0.88
s1	In particular, the shear and bulk relaxation times are provided.	result 0.97	0.88	0.16	asserted 1.00
s2	The result follows by deforming the AdS background with a scalar dual to a marginally relevant operator, at leading order in the deformation parameter.	method 1.00	0.80	0.09	asserted 1.00

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The paper

Original abstract

Modeling QCD at large temperature with a simple holographic five dimensional theory encoding minimal breaking of conformality, allows for the calculation of all the transport coefficients, up to second order, in terms of a single parameter. In particular, the shear and bulk relaxation times are provided. The result follows by deforming the AdS background with a scalar dual to a marginally relevant operator, at leading order in the deformation parameter.

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References

Forward citations

Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Adiabatic hydrodynamics: The eightfold way to dissipation
hep-th 2015-02 conditional novelty 7.0 of 10

Hydrodynamic transport consistent with the second law splits into seven adiabatic classes plus one dissipative class, all claimed to descend from a single Abelian gauge principle.
On the universal identity in second order hydrodynamics
hep-th 2014-12 conditional novelty 6.0 of 10

The universal relation 2 eta tau_Pi minus 4 lambda_1 minus lambda_2 equals zero among second-order hydrodynamic transport coefficients holds at next-to-leading order in the strong-coupling expansion of N=4 super Yang-...
Hydrodynamic transport coefficients for the non-conformal quark-gluon plasma from holography
hep-ph 2014-12 conditional novelty 6.0 of 10

A bottom-up holographic model tuned to lattice QCD yields temperature-dependent second-order transport coefficients for the non-conformal quark-gluon plasma, packaged as fitting functions for hydrodynamic simulations.
Holography for Einstein-Maxwell-dilaton theories from generalized dimensional reduction
hep-th 2011-10 accept novelty 6.0 of 10

Einstein-Maxwell-dilaton theories with two neutral scalars are shown to descend from higher-dimensional AdS-Maxwell gravity by generalized dimensional reduction, which then yields their holographic dictionary and firs...
On the connection between hydrodynamics and quantum chaos in holographic theories with stringy corrections
hep-th 2018-11 accept novelty 5.0 of 10

Pole-skipping persists in holographic theories with R-squared and alpha-prime-cubed R-to-the-fourth gravity corrections, and it predicts a specific finite-coupling shift in the butterfly velocity that an independent s...

Show 1 more citing papers

Relativistic Fluid Dynamics In and Out of Equilibrium -- Ten Years of Progress in Theory and Numerical Simulations of Nuclear Collisions
nucl-th 2017-12 accept novelty 3.0 of 10

The gradient expansion of relativistic hydrodynamics diverges but is Borel-resummable, and the resulting non-equilibrium attractor explains why low-order viscous hydrodynamics describes heavy-ion collision data far be...

How the literature uses it

19 arXiv papers cite this in 54 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 38 sentences without a confident label

Contests it 1 paper

The reason they think is that [ref] uses ([ref]) (first proposed in [ref] ) to get $ητ_π^*$ and $ξ_2$ whose correct form should be ([ref]).

Second order transport coefficients of nonconformal relativistic fluids in various dimensions from Dp-brane · Test of Kanitscheider-Skenderis proposal · contest 0.74

Builds on it 1 paper

[ref] that $H=0$ is satisfied including the leading non-conformal corrections.

Second-Order Hydrodynamics and Universality in Non-Conformal Holographic Fluids · Transport coefficients in the Chamblin-Reall background · 0.93

Uses its method or tool 1 paper

Quite crucially, for the Chamblin-Reall theories, all the hydrodynamic transport coefficients up to second order can be extracted [ref] using the results in [ref] .

Hydrodynamics of holographic flavored plasmas · Hydrodynamics from AdS/CFT revisited · 0.88

Uses its data or values 1 paper

In order to provide a numerical example, taking $c_s^2∼0.26$ at $T∼1.5 T_c$ as sensible estimate from lattice studies for the current RHIC experiment [ref] , we would get the results collected in Table 2 (updating the ones in [ref] ).

Hydrodynamics of holographic flavored plasmas · Hydrodynamics from AdS/CFT revisited · 0.83

Compares with it 2 papers

Here, the agreement with the leading near-conformal analytic result of [ref] is $∼3·10^-6$, [equation]

Gravitational susceptibility of QGP · Cascading QGP · 1.00
Moreover, we would like to remark that our calculation for the transport coefficients are qualitatively consistent with the results found in [ref] for the large $T$ expansion of the 2nd order transport coefficients for the non-conformal plasma dual to the Chamblin-Reall background [ref] .

Hydrodynamic transport coefficients for the non-conformal quark-gluon plasma from holography · Israel-Stewart-like 2nd order hydrodynamics for a non-conformal relativistic fluid · 0.96

Cites it as support 2 papers

The fact that this is a consistent truncation of the (charged) D3-D7 system implies that the analysis of hydrodynamic modes performed in [ref] is correct, since those works rely on the study of the fluctuations of a consistent truncation.

Consistent reduction of charged D3-D7 systems · Three uncharged sub-truncations · 0.97
This provides further evidence that the identity may be universally satisfied by strongly coupled fluids [ref] .

Second-Order Hydrodynamics and Universality in Non-Conformal Holographic Fluids · Conclusion and outlook · 0.98

Cites it as background 5 papers

Its 5-dimensional reduced theory has 4 independent background scalars. * The 5-dimensional Chamblin-Reall background [ref] .

Compactified AdS black holes, Chamblin-Reall background, and their dual non-conformal relativistic fluids · Introduction and motivation · 0.83
This model is sometimes called the Chamblin-Reall model [ref] , and has been extensively studied in the literature [ref] .

A shear spectral sum rule in a non-conformal gravity dual · Introduction · 0.96
Of the studies reviewed above, only [ref] are about the 2nd order transport coefficients of nonconformal relativistic fluids.

Second order transport coefficients of nonconformal relativistic fluids in various dimensions from Dp-brane · Introduction · 0.87

What it cites · 42 sentences without a confident label

Uses data or values from 2 papers

Then from [ref] we read $c_s^2∼0.283$ from which we get the numbers in Table [ref].

The equation of state in lattice QCD: with physical quark masses towards the continuum limit · The estimate · 1.00
As in [ref] , we use the results for the speed of sound from the lattice study in [ref] .

Interplay of shear and bulk viscosity in generating flow in heavy-ion collisions · The estimate · 0.95

Compares with 2 papers

In this case, the relations in Table [ref] match precisely the coefficients calculated in [ref] [The small parameter in [ref] was denoted as $ϵ_h^2=6δ$.] and complete the determination of all the second order transport coefficients in those plasmas.

Hydrodynamics of fundamental matter · Derivation · 0.83
In particular $2πTτ_π= 1.394$ is a bit larger than the conformal value (1.307) and more similar to the one used in [ref] .

Interplay of shear and bulk viscosity in generating flow in heavy-ion collisions · The estimate · 0.95

Cites as background 2 papers

Uncharged relativistic hydrodynamics is determined, up to second order in the derivative expansion, by seventeen transport coefficients, fifteen of which are possibly independent [ref] , [ref] .

Relativistic viscous hydrodynamics, conformal invariance, and holography · Notation · 0.88
Uncharged relativistic hydrodynamics is determined, up to second order in the derivative expansion, by seventeen transport coefficients, fifteen of which are possibly independent [ref] , [ref] .

Relativistic Viscous Fluid Dynamics and Non-Equilibrium Entropy · Notation · 0.88

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