The bulk channel in thermal gauge theories

Meyer, Harvey B.

doi:10.1007/jhep04(2010)099

Cited by 43 publications

(70 citation statements)

References 72 publications

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“…(5.6) are close to but consistent with this upper limit. A different strategy was adopted in [58] to interpret the bulk channel Euclidean correlator using a maximum amount of analytic information. The temperatures studied were 1.02, 1.24 and 1.65T c in the SU(3) gauge theory.…”

Section: Combining Numerical Euclidean Data With Analytic Resultsmentioning

confidence: 99%

“…36. A smooth parametrization of the subtracted bulkchannel spectral function in SU(3) gauge theory, ∆ρ⋆(ω, T )/(ω· s), compatible with the bulk sum rule and the lattice correlator at t = β/2 [58]. Recall that the ratio ζ/s is given by and the function is required to be continuous and differentiable at the boundary points.…”

Section: Combining Numerical Euclidean Data With Analytic Resultsmentioning

confidence: 99%

“…It is therefore important to study the spectral function in detail in this region [57,58]. One finds that 1 9…”

Section: Kubo Formulae For the Transport Of Energy And Momentummentioning

confidence: 99%

“…The latter was obtained by first solving for ρ(ω, 0.75T c ), and then applying the definition (58). The top panel presents data obtained on an isotropic lattice [148], while the lower one uses an anisotropic lattice with a σ /a τ = 4 [140].…”

Section: The Electric Conductivitymentioning

confidence: 99%

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Transport properties of the quark-gluon plasma

2011

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Abstract. Transport properties of a thermal medium determine how its conserved charge densities (for instance the electric charge, energy or momentum) evolve as a function of time and eventually relax back to their equilibrium values. Here the transport properties of the quark-gluon plasma are reviewed from a theoretical perspective. The latter play a key role in the description of heavy-ion collisions, and are an important ingredient in constraining particle production processes in the early universe. We place particular emphasis on lattice QCD calculations of conserved current correlators. These Euclidean correlators are related by an integral transform to spectral functions, whose small-frequency form determines the transport properties via Kubo formulae. The universal hydrodynamic predictions for the small-frequency pole structure of spectral functions are summarized. The viability of a quasiparticle description implies the presence of additional characteristic features in the spectral functions. These features are in stark contrast with the functional form that is found in strongly coupled plasmas via the gauge/gravity duality. A central goal is therefore to determine which of these dynamical regimes the quark-gluon plasma is qualitatively closer to as a function of temperature. We review the analysis of lattice correlators in relation to transport properties, and tentatively estimate what computational effort is required to make decisive progress in this field.

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Section: Combining Numerical Euclidean Data With Analytic Resultsmentioning

confidence: 99%

Section: Combining Numerical Euclidean Data With Analytic Resultsmentioning

confidence: 99%

“…It is therefore important to study the spectral function in detail in this region [57,58]. One finds that 1 9…”

Section: Kubo Formulae For the Transport Of Energy And Momentummentioning

confidence: 99%

Section: The Electric Conductivitymentioning

confidence: 99%

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Transport properties of the quark-gluon plasma

2011

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“…Insertingρ ∆ = −2ImG ∆ in (2.4) we obtain 6) which is a thermodynamic sum rule for the spectral function. This is equation (11) in [2], with a relative factor of 2π in the definition of the spectral function, and a global sign coming from the definition of the Green's function (see also [1]). To obtain this relation…”

Section: Sum Rulesmentioning

confidence: 99%

Sum rules, plasma frequencies and Hall phenomenology in holographic plasmas

Mas

Shock

Tarrío

2011

J. High Energ. Phys.

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Abstract:We study the AC optical and Hall conductivities of Dp/Dq-brane intersections in the probe approximation and use sum-rules to study various associated transport coefficients. We determine that the presence of massive fundamental matter, as compared to massless fundamental matter described holographically by a theory with no dimensional defects, reduces the plasma frequency. We further show that this is not the case when the brane intersections include defects. We discuss in detail how to implement correctly the regularization of retarded Green's functions so that the dispersion relations are satisfied and the low energy behaviour of the system is physically realistic.

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Sum rules from an extra dimension

Gulotta

Herzog

Kaminski

2011

J. High Energ. Phys.

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Using the gravity side of the AdS/CFT correspondence, we investigate the analytic properties of thermal retarded Green's functions for scalars, conserved currents, the stress tensor, and massless fermions. We provide some results concerning their large and small frequency behavior and their pole structure. From these results, it is straightforward to prove the validity of various sum rules on the field theory side of the duality. We introduce a novel contraction mapping we use to study the large frequency behavior of the Green's functions.

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The bulk channel in thermal gauge theories

Cited by 43 publications

References 72 publications

Transport properties of the quark-gluon plasma

Transport properties of the quark-gluon plasma

Sum rules, plasma frequencies and Hall phenomenology in holographic plasmas

Sum rules from an extra dimension

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