Crumpling dynamically triangulated random surfaces in higher dimensions
Identifieur interne : 000862 ( Main/Exploration ); précédent : 000861; suivant : 000863Crumpling dynamically triangulated random surfaces in higher dimensions
Auteurs : C. F. Baillie [États-Unis] ; R. D. Williams [États-Unis] ; D. A. Johnston [Royaume-Uni]Source :
- Physics Letters B [ 0370-2693 ] ; 1990.
Abstract
Recent numerical simulations have revealed an unexpected second order crumpling transition for dynamically triangulated random surfaces embedded in three and four dimensions, raising the possibility of defining a continuum string theory at this point. In this paper we explore the behaviour of the transition in higher embedding dimensions (d=5, 6, 8, 10, 15, 20, 26) and find that the second order transition persists, in disagreement with analytical predictions using the 1 d expansion, which might be expected to be valid for large d. We discuss the discrepancy and also observe that the variation of the phase transition point with d rules out the possibility that the continuum theory is a hexatic membrane.
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DOI: 10.1016/0370-2693(90)91397-T
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