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Phase transition of surface models with intrinsic curvature

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arxiv cond-mat/0411624 v1 pith:TSI5FYC6 submitted 2004-11-24 cond-mat.stat-mech

classification cond-mat.stat-mech
keywords modelphasesurfacetermtransitionanglebranchedcontains
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It is reported that a surface model of Polyakov strings undergoes a first-order phase transition between smooth and crumpled (or branched polymer) phases. The Hamiltonian of the model contains the Gaussian term and a deficit angle term corresponding to the weight of the integration measure dX in the partition function.

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