HIDDEN SYMMETRY, EXACT RELATIONS, AND A SMALL-PARAMETER IN THE KARDAR-PARISI-ZHANG PROBLEM WITH STRONG-COUPLING

Authors
LEBEDEV VV LVOV VS
Citation
Vv. Lebedev et Vs. Lvov, HIDDEN SYMMETRY, EXACT RELATIONS, AND A SMALL-PARAMETER IN THE KARDAR-PARISI-ZHANG PROBLEM WITH STRONG-COUPLING, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 49(2), 1994, pp. 180000959-180000962
Citations number
27
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
49
Issue
2
Year of publication
1994
Pages
180000959 - 180000962
Database
ISI
SICI code
1063-651X(1994)49:2<180000959:HSERAA>2.0.ZU;2-V
Abstract
An exact relation between the Green's function and the dressed third-o rder vertex GAMMA was found for the Kardar-Parisi-Zhang (KPZ) model of surface roughening in (1+d) dimensions. This relation, of the Ward-id entity type, follows from a hidden symmetry of the problem, which gene ralizes in some sense the Galilean invariance of the KPZ equation. Thi s relation allows one to conclude that in the region of strong couplin g, GAMMA - GAMMA0 approximately 0.1GAMMA0, where GAMMA0 is the bare va lue of the vertex GAMMA. The identity is generalized for higher-order vertices, enabling us to predict some relations between observable cor relation functions.