Small-scale properties of the KPZ equation and dynamical symmetry breaking

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dc.creatorHochberg, David
dc.creatorMolina-Paris, Carmen
dc.creatorPerez-Mercader, Juan
dc.creatorVisser, Matt
dc.date1999-04-28
dc.date2000-11-27
dc.date.accessioned2026-07-07T11:08:33Z
dc.date.available2026-07-07T11:08:33Z
dc.descriptionA functional integral technique is used to study the ultraviolet or short distance properties of the Kardar-Parisi-Zhang (KPZ) equation with white Gaussian noise. We apply this technique to calculate the one-loop effective potential for the KPZ equation. The effective potential is (at least) one-loop ultraviolet renormalizable in 1, 2, and 3 space dimensions, but non-renormalizable in 4 or higher space dimensions. This potential is intimately related to the probability distribution function (PDF) for the spacetime averaged field. For the restricted class of field configurations considered here, the KPZ equation exhibits dynamical symmetry breaking (DSB) via an analog of the Coleman-Weinberg mechanism in 1 and 2 space dimensions, but not in 3 space dimensions.
dc.descriptionV2 --- 6 pages, LaTeX 209, ReV_TeX 3.2. Title changed, presentation clarified, additional discussion added, references updated. No significant changes in physics conclusions. This version to appear in Physics Letters A
dc.identifierhttps://arxiv.org/abs/cond-mat/9904413
dc.identifierhttp://arxiv.org/abs/cond-mat/9904413
dc.identifierPhys.Lett.A278:177-183,2001
dc.identifierdoi:10.1016/S0375-9601(00)00773-8
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/190172
dc.subjectStatistical Mechanics
dc.subjectChaotic Dynamics
dc.subjectHigh Energy Physics - Theory
dc.titleSmall-scale properties of the KPZ equation and dynamical symmetry breaking
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