Abstract
We begin by discussing random walks and branched polymers and show how the continuum properties of such objects are obtained from discrete approximations. We then review the theory of dynamically triangulated surfaces and prove the nonscaling of the string tension. We construct the continuum limit of lattice surfaces explicitly and show that the theory is dominated by branched polymer configurations unless the action depends on the extrinsic curvature or higher powers of the intrinsic curvature.
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© 2000 Springer Science+Business Media Dordrecht
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Jonsson, T. (2000). Introduction to Random Surfaces. In: Thorlacius, L., Jonsson, T. (eds) M-Theory and Quantum Geometry. NATO Science Series, vol 556. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4303-5_8
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DOI: https://doi.org/10.1007/978-94-011-4303-5_8
Publisher Name: Springer, Dordrecht
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