On the critical behavior of the surface tension in a random surface model

Myunghark Harn, Michael Aizenman

Research output: Contribution to journalArticle

Abstract

We examine the continuity of the surface tension α(p), at the critical point Pc, for the surfaces formed in the random plaquette model on Z3 - of independent plaquettes with density p. It is shown that α(p)≤|Inp|P2(1-p), and α(p)≤|Inp|P, 1 2(1-p), where P(q) is the percolation probability in the dual bond percolation model - of independently occupied bonds with qandP∞, 1 2(q) is the percolation probability in the semi-infinite system. Under natural assumptions on the bond-percolation transition, these results strongly indicate that the surface tension vanishes continuously as p↑pc.

Original languageEnglish (US)
Pages (from-to)859-866
Number of pages8
JournalNuclear Physics, Section B
Volume257
Issue numberC
DOIs
StatePublished - Jan 1 1985
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

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