Self-Avoiding Random Manifolds
Several important developments of theoretical physics in the last 15 years come from the extension of the concept of random walk to fluctuating extended objects. This has been very fruitful both in high energy physics, where the quantum fluctuations of strings (1 + 1-dimensional objects) and of p-branes (p + 1-dimensional) in Minkowski space are considered, and in condensed matter physics, where the thermal fluctuations of 2-dimensional films or membranes in Euclidean 3-dimensional space are a fascinating subject (see for instance ).
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- Statistical Mechanics of Membranes and Surfaces, Proceedings of the Fifth Jerusalem Winter School for Theoretical Physics (1987), D. R. Nelson, T. Piran and S. Weinberg Eds., World Scientific, Singapore (1989).Google Scholar