منابع مشابه
Gonihedric 3D Ising actions
We investigate a generalized Ising action containing nearest neighbour, next to nearest neighbour and plaquette terms that has been suggested as a potential string worldsheet discretization on cubic lattices by Savvidy and Wegner. We use both mean field techniques and Monte-Carlo simulations to sketch out the phase diagram. The Gonihedric (Savvidy-Wegner) model has a symmetry that allows any pl...
متن کاملGonihedric Ising Actions
where the sum is over the edges of some triangulated surface, θ(αij) = |π − αij | ζ , ζ is some exponent, and αij is the dihedral angle between neighbouring triangles with common link < ij >. This definition of the action was inspired by the geometrical notion the linear size of a surface, originally defined by Steiner. In equ.(1) it is the surface itself that is discretized, rather than the sp...
متن کاملString tension in gonihedric 3D Ising models
For the 3D gonihedric Ising models defined by Savvidy and Wegner the bare string tension is zero and the energy of a spin interface depends only on the number of bends and self-intersections, in antithesis to the standard nearest-neighbour 3D Ising action. When the parameter κ weighting the self-intersections is small the model has a first order transition and when it is larger the transition i...
متن کاملLow temperature expansion of the gonihedric Ising model
We investigate a model of closed (d − 1)-dimensional soft-self-avoiding random surfaces on a d-dimensional cubic lattice. The energy of a surface configuration is given by E = J(n2 + 4k n4), where n2 is the number of edges, where two plaquettes meet at a right angle and n4 is the number of edges, where 4 plaquettes meet. This model can be represented as a Z2-spin system with ferromagnetic neare...
متن کاملFinite size analysis of the 3 - d Gonihedric Ising model with κ = 0
We perform a high statistics analysis of the phase transition for the 3D Gonihedric Ising model with κ = 0. This corresponds to an enhanced symmetry point in a class of models defined by Savvidy and Wegner which were originally intended as discrete versions of string theories on cubic lattices. In a previous paper it was shown that the model appeared to display a distinct first order phase tran...
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ژورنال
عنوان ژورنال: Nuclear Physics B - Proceedings Supplements
سال: 1997
ISSN: 0920-5632
DOI: 10.1016/s0920-5632(96)00778-5