@article{
author = "Prekrat, Dragan",
year = "2021",
abstract = "We construct and analyze the phase diagram of a self-interacting matrix field in two dimensions coupled to the curvature of the noncommutative truncated Heisenberg space. In the infinite size limit, the model reduces to the renormalizable Grosse-Wulkenhaar model. The curvature term proves crucial for the diagram’s structure. When turned off, the triple point collapses into the origin as matrices grow larger; when turned on, the triple point recedes from the origin proportionally to the coupling strength and the matrix size. The coupling attenuation that turns the Grosse-Wulkenhaar model into a renormalizable version of the φ4⋆ model cannot stop the triple point recession. As a result, the stripe phase escapes to infinity, removing the problems with UV/IR mixing.",
publisher = "American Physical Society",
journal = "Physical Review D",
title = "Renormalization footprints in the phase diagram of the Grosse-Wulkenhaar model",
volume = "104",
number = "11",
doi = "10.1103/PhysRevD.104.114505"
}