Abstract
The author presents a formulation of statistical mechanics models based on conditional probability distributions rather than a Hamiltonian. Closely linked with this formulation is a Monte Carlo algorithm, in which a configuration generated is guaranteed to be statistically independent of any other configuration for all values of the parameters, in particular near the critical point. The required internal symmetry and the lattice rotational symmetry are realized in a conventional manner, but the translational symmetry on the lattice is realized in an unconventional manner. By explicitly constructing a Z2-invariant model in two dimensions, the author shows that it is possible to realize critical phenomena through this procedure. The author also shows that the specific heat exponent, alpha , and the susceptibility exponent, gamma , are consistent with that of the Ising model in two dimensions.
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