2025/05/12 by Prekrat, Dragan, Bukor, Benedek, Tekel, Juraj
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)
paper · doi:10.48550/arxiv.2505.07563
We study a Hermitian matrix model with a quartic potential, modified by a curvature term tr(RΦ2), where R is a fixed external matrix. Inspired by the truncated Heisenberg algebra formulation of the Grosse--Wulkenhaar model, this term breaks unitary invariance and, through perturbative expansion, induces an effective multitrace matrix model. We analyze the resulting action both analytically and numerically, including Hamiltonian Monte Carlo simulations, focusing on the shift of the triple point and suppression of the noncommutative striped phase -- two features closely tied to renormalizability. Our findings show that the curvature term drives the phase structure toward renormalizable behavior by removing the striped phase in the large-N limit, while also unexpectedly revealing a novel multi-cut phase deep in the perturbative regime, at least for fixed matrix size.