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Pré-Publication, Document De Travail Année : 1998

On the Perturbation Expansion of the KPZ-Equation

Résumé

We present a simple argument to show that the beta-function of the d-dimensional KPZ-equation (d>=2) is to all orders in perturbation theory given by beta(g) = (d-2) g - 2/(8 pi)^(d/2) Gamma(2-d/2) g^2 . Neither the dynamical exponent z nor the roughness-exponent zeta have any correction in any order of perturbation theory. This shows that standard perturbation theory cannot attain the strong-coupling regime and in addition breaks down at d=4. We also calculate a class of correlation-functions exactly.

Dates et versions

hal-00283834 , version 1 (30-05-2008)

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Kay Joerg Wiese. On the Perturbation Expansion of the KPZ-Equation. 1998. ⟨hal-00283834⟩
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