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- W2027533744 abstract "We propose a new method to study numerically the critical properties of a two-dimensional discretized randomsurface with extrinsic curvature embedded in a space of arbitrary dimension. The method uses a system with a toroidal topology and nontrivial boundary conditions. This makes it possible to introduce the non-zero external extension of the system without the necessity of defining a boundary and allows to treat the size of a system as an additional coupling constant of the theory. In the numerical experiment we can therefore measure directly the string tension and other derivatives of the free energy with respect to the system size. We present results for a three-dimensional embedding space. We confirm the existence of the phase transition from the crumpled phase to the smooth phase observed earlier for a spherical topology. The phase transition is characterized by the vanishing of the string tension. We discuss the possible non-trivial continuum limit of the theory, when approaching the critical point." @default.
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- W2027533744 date "1992-01-01" @default.
- W2027533744 modified "2023-09-27" @default.
- W2027533744 title "Twisted boundary conditions and random surfaces with extrinsic curvature" @default.
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- W2027533744 doi "https://doi.org/10.1016/s0920-5632(05)80018-0" @default.
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