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

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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 1

Keywords

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

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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