Critical behavior of massless free field at depinning transition

Bolthausen, Erwin; Velenik, Yvan

doi:10.1007/s002200100542

Scientific article

English

Critical behavior of massless free field at depinning transition

Contributors

Bolthausen, Erwin; Velenik, Yvan

Published in

Communications in Mathematical Physics, vol. 223, no. 1, p. 161-203

Publication date

2001

Abstract

We consider the d-dimensional massless free field localized by a δ-pinning of strength ɛ. We study the asymptotics of the variance of the field (when d= 2), and of the decay-rate of its 2-point function (when d≥ 2), as ɛ goes to zero, for general Gaussian interactions. Physically speaking, we thus rigorously obtain the critical behavior of the transverse and longitudinal correlation lengths of the corresponding d+ 1-dimensional effective interface model in a non-mean-field regime. We also describe the set of pinned sites at small ɛ, for a broad class of d-dimensional massless models.

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Not a UNIGE publication

Citation (ISO format)

BOLTHAUSEN, Erwin, VELENIK, Yvan. Critical behavior of massless free field at depinning transition. In: Communications in Mathematical Physics, 2001, vol. 223, n° 1, p. 161–203. doi: 10.1007/s002200100542

Article (Accepted version)

Identifiers

PID : unige:6378
DOI : 10.1007/s002200100542

Journal ISSN

0010-3616

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Critical behavior of massless free field at depinning transition

Contributors

Published in

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Abstract

UNIGE affiliation entities

Citation (ISO format)

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Creation

First validation

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Status update

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