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

摘要

The Gonihedric Ising model is a particular case of the class of modelsdefined by Savvidy and Wegner intended as discrete versions of string theorieson cubic lattices. In this paper we perform a high statistics analysis of thephase transition exhibited by the 3d Gonihedric Ising model with $k=0$ in thelight of a set of recently stated scaling laws applicable to first order phasetransitions with fixed boundary conditions. Even though qualitative evidencewas presented in a previous paper to support the existence of a first orderphase transition at $k=0$, only now are we capable of pinpointing thetransition inverse temperature at $\beta_c = 0.54757(63)$ and of checking thescaling of standard observables.