Fixed boundary conditions analysis of the 3d Gonihedric Ising model with $κ=0$

M. Baig; J. Clua; D. A. Johnston; R. Villanova

doi:10.1016/j.physletb.2004.02.002

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Fixed boundary conditions analysis of the 3d Gonihedric Ising model with $κ=0$

M. Baig·J. Clua·D. A. Johnston·R. Villanova

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Abstract

The Gonihedric Ising model is a particular case of the class of models defined by Savvidy and Wegner intended as discrete versions of string theories on cubic lattices. In this paper we perform a high statistics analysis of the phase transition exhibited by the 3d Gonihedric Ising model with $k=0$ in the light of a set of recently stated scaling laws applicable to first order phase transitions with fixed boundary conditions. Even though qualitative evidence was presented in a previous paper to support the existence of a first order phase transition at $k=0$, only now are we capable of pinpointing the transition inverse temperature at $β_c = 0.54757(63)$ and of checking the scaling of standard observables.

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M. Baig, J. Clua, D. A. Johnston, R. Villanova. 2004-03-09. Fixed boundary conditions analysis of the 3d Gonihedric Ising model with $κ=0$. https://doi.org/10.1016/j.physletb.2004.02.002

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