Bounds on the mass for the high dimensional Gaussian lattice field between two hard walls

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

We consider the d(≥3)-dimensional Gaussian lattice field confined between two hard walls. We show that the field becomes massive and identify the precise asymptotic behavior of the mass and the variance of the field as the height of the wall goes to infinity.

Original languageEnglish
Pages (from-to)537-553
Number of pages17
JournalJournal of Statistical Physics
Volume129
Issue number3
DOIs
Publication statusPublished - 2007 Nov

Fingerprint

High-dimensional
infinity
Precise Asymptotics
Asymptotic Behavior
Infinity

Keywords

  • Gaussian field
  • Hard wall
  • Mass
  • Random interface
  • Random walk representation

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Bounds on the mass for the high dimensional Gaussian lattice field between two hard walls. / Sakagawa, Hironobu.

In: Journal of Statistical Physics, Vol. 129, No. 3, 11.2007, p. 537-553.

Research output: Contribution to journalArticle

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