CRITICAL DISCUSSION OF THE 2-LOOP CALCULATIONS FOR THE KARDAR-PARISI-ZHANG EQUATION

Authors
Citation
Kj. Wiese, CRITICAL DISCUSSION OF THE 2-LOOP CALCULATIONS FOR THE KARDAR-PARISI-ZHANG EQUATION, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 56(5), 1997, pp. 5013-5017
Citations number
10
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
ISSN journal
1063651X
Volume
56
Issue
5
Year of publication
1997
Part
A
Pages
5013 - 5017
Database
ISI
SICI code
1063-651X(1997)56:5<5013:CDOT2C>2.0.ZU;2-K
Abstract
In this paper, we perform a careful analysis of the renormalization pr ocedure used in existing calculations to derive critical exponents for the Kardar-Parisi-Zhang equation at two-loop order. This analysis exp lains the discrepancies between the results of the different groups. T he correct critical exponents in d=2+epsilon dimensions at the crossov er between the weak-and strong-coupling regime are chi=O(epsilon(3)) a nd z=2+O(epsilon(3)). No strong-coupling fixed point exists at two-loo p order.