Detecting scaling in phase transitions on the truncated Heisenberg algebra
Published 2020-02-13Version 1
We construct and analyze the phase diagram of the self-interacting matrix field coupled to curvature of the non-commutative truncated Heisenberg space. The model reduces to renormalizable Grosse-Wulkenhaar model in the infinite matrix size limit and exhibits the purely non-commutative non-uniformly ordered phase. Particular attention is given to the scaling of the model's parameters. We additionally provide the infinite matrix size limit for the disordered to ordered phase transition line.