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Critical Discussion of the 2-Loop Calculations for the KPZ-Equation

Kay Joerg Wiese
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Abstract

In this article, we perform a careful analysis of the renormalization procedure used in existing calculations to derive critical exponents for the KPZ-equation at 2-loop order. This analysis explains the discrepancies between the results of the different groups. The correct critical exponents in d=2+epsilon dimensions at the crossover between weak- and strong-coupling regime are zeta=O(epsilon^3) and z=2+O(epsilon^3). No strong-coupling fixed point exists at 2-loop order.

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Kay Joerg Wiese. 1997-07-14. Critical Discussion of the 2-Loop Calculations for the KPZ-Equation. https://doi.org/10.1103/physreve.56.5013

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