Abstract
We construct and analyze a phase diagram of a self-interacting matrix field coupled to curvature of the non-commutative truncated Heisenberg space. The model reduces to the renormalizable Grosse-Wulkenhaar model in an infinite matrix size limit and exhibits a purely non-commutative non-uniformly ordered phase. Particular attention is given to scaling of model’s parameters. We additionally provide the infinite matrix size limit for the disordered to ordered phase transition line.
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Prekrat, D., Todorović-Vasović, K.N. & Ranković, D. Detecting scaling in phase transitions on the truncated Heisenberg algebra. J. High Energ. Phys. 2021, 197 (2021). https://doi.org/10.1007/JHEP03(2021)197
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DOI: https://doi.org/10.1007/JHEP03(2021)197