The Continuum Limit of One-Dimensional Quantum Regge Calculus with Massive Bosons

Abstract

The most essential problems in Regge calculus discretization are the definitions of the partition function and the integral measure for link--length. In recent work, by considering the one--dimensional case, it was suggested that we should define the partition function in a certain form. But in that work, the model which authors used was over simplified hence the conclusions may be unreliable. To confirm their claim, we consider a case that is more realistic.