RANDOM SURFACE CORRELATION FUNCTIONS
Jul, 198466 pages
Published in:
- Commun.Math.Phys. 96 (1984) 439-471
DOI:
Report number:
- HUTMP B 158
Citations per year
Abstract: (Springer)
Truncated pair functions for free random surface models and Bernoulli ensembles are examined. In both cases, the pair function is shown to obey Ornstein-Zernike scaling whenever various correlation lengths of the system satisfy a nonperturbative criterion. Under the same conditions, the transverse displacement of surfaces contributing to the pair function is shown to be normally distributed. A new type of transition, which concerns the width of typical surfaces, is introduced and studied. Whenever the system is below the melting transition temperature of a related lower-dimensional model, the width of typical surfaces is shown to be finite. A thermodynamic formalism for free random surface models is developed. The formalism is used to obtain sharp estimates of the entropy of surfaces contributing to the pair function.- LATTICE FIELD THEORY: RANDOM SURFACE
- STATISTICAL MECHANICS: CRITICAL PHENOMENA
- CORRELATION FUNCTION: ASYMPTOTIC BEHAVIOR
- NONPERTURBATIVE
- SCALING
- GLUEBALL: MASS
- MASS: GLUEBALL
- ENTROPY
- MATHEMATICAL METHODS
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