Survey of Self-Avoiding Random Surfaces on Cubic Lattices: Issues, Controversies, and Results*

  • T. L. Einsteint
  • A. L. Stella
Part of the The IMA Volumes in Mathematics and its Applications book series (IMA, volume 103)

Abstract

The aim of this short review is to present an overview of problems involving random surfaces on a cubic lattice: why one studies them, what questions one tries to answer, what assumptions are made in the models, what one computes to understand these models, and some things that have been learned. The emphasis will be on what one can calculate and why the problem is computationally intensive but tractable. There has also been considerable progress in rigorous treatments of this subject; this train of work will be discussed in the following paper. Since there have been some rather extensive reviews [1][2][3][4] on the subject, there is no need to be encyclopedic. Liberal use is made of these sources as well as unpublished lecture notes by A. Maritan [5] and E. Orlandini [6].

Keywords

Domain Wall Osmotic Pressure Critical Exponent Universality Class Lattice Gauge Theory 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag New York, Inc. 1998

Authors and Affiliations

  • T. L. Einsteint
    • 1
  • A. L. Stella
    • 2
  1. 1.Department of PhysicsUniversity of Maryland, College ParkUSA
  2. 2.INFM-Dipartimento di Fisica e Sezione INFN dell’ Università. di PadovaPadovaItaly

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