TY - JOUR
T1 - Collapse of random surfaces in the connected plaquettes model
AU - Tasaki, Hal
AU - Hara, Takashi
N1 - Funding Information:
We wish to thank Professor M. Suzuki for stimulating discussions and a careful reading of the manuscript, Professor M. Kato, Dr. T. Hattori, K.-I. Kondo, and H. Watanabe for fruitful discussions, and Professor J. Fr6hlich for instructive comments on the random surface representation. We are also grateful to the referee for instructive comments on the manuscript. The present work is supported in part by Research Institute for Fundamental Physics.
Copyright:
Copyright 2014 Elsevier B.V., All rights reserved.
PY - 1985/10/21
Y1 - 1985/10/21
N2 - Critical phenomena in a simple stochastic geometric model of random surfaces are studied. We find that, at the critical point, the characteristic area remains finite while the susceptibility diverges. Therefore, random surfaces collapse into branched polymers in the scaling limit.
AB - Critical phenomena in a simple stochastic geometric model of random surfaces are studied. We find that, at the critical point, the characteristic area remains finite while the susceptibility diverges. Therefore, random surfaces collapse into branched polymers in the scaling limit.
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U2 - 10.1016/0375-9601(85)90669-3
DO - 10.1016/0375-9601(85)90669-3
M3 - Article
AN - SCOPUS:5544278269
SN - 0375-9601
VL - 112
SP - 115
EP - 118
JO - Physics Letters A
JF - Physics Letters A
IS - 3-4
ER -