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Turbulence and Random Geometry

1 Pith paper cite this work. Polarity classification is still indexing.

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abstract

We outline our proposal for a field theory description of steady state incompressible fluid turbulence at the inertial range of scales in a general number of space dimensions. The theory consists of a Kolmogorov linear scaling mean field theory dressed by a Nambu-Goldstone dilaton mode that induces a random measure on the inertial range. We derive a KPZ-type formula for the anomalous scalings of the velocity structure functions, the velocity gradients and the local energy dissipation, and relate the dimensionless intermittency parameter to the boundary conformal anomaly.

fields

hep-th 1

years

2019 1

verdicts

UNVERDICTED 1

representative citing papers

$\mathcal{N}=2$ Liouville SCFT in Four Dimensions

hep-th · 2019-07-21 · unverdicted · novelty 6.0

Constructs an N=2 Liouville SCFT in 4D, shows no quantum correction to the classical background charge, finds c=0 and negative a depending on the charge, and derives integral expressions for superfield vertex operator correlators.

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  • $\mathcal{N}=2$ Liouville SCFT in Four Dimensions hep-th · 2019-07-21 · unverdicted · none · ref 3 · internal anchor

    Constructs an N=2 Liouville SCFT in 4D, shows no quantum correction to the classical background charge, finds c=0 and negative a depending on the charge, and derives integral expressions for superfield vertex operator correlators.