2024/04/09 by Lencsés, Máté, Miscioscia, Alessio, Mussardo, Giuseppe +1 · 2 citations
#FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Statistical Mechanics (cond-mat.stat-mech)
paper · doi:10.48550/arxiv.2404.06100
We revisit and extend Fisher's argument for a Ginzburg-Landau description of multicritical Yang-Lee models in terms of a single boson Lagrangian with potential φ2 (i φ)n. We explicitly study the cases of n=1,2 by a Truncated Hamiltonian Approach based on the free massive boson perturbed by \boldsymbol P \boldsymbol T symmetric deformations, providing clear evidence of the spontaneous breaking of \boldsymbol P \boldsymbol T symmetry. For n=1, the symmetric and the broken phases are separated by the critical point corresponding to the minimal model \mathcal M(2,5), while for n=2, they are separated by a critical manifold corresponding to the minimal model \mathcal M(2,5) with \mathcal M(2,7) on its boundary. Our numerical analysis strongly supports our Ginzburg-Landau descriptions for multicritical Yang-Lee models.