Abstract
Abstract
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(iφ)n. We explicitly study the cases of n = 1, 2 by a Truncated Hamiltonian Approach based on the free massive boson perturbed by PT symmetric deformations, providing clear evidence of the spontaneous breaking of PT symmetry. For n = 1, the symmetric and the broken phases are separated by the critical point corresponding to the minimal model $$ \mathcal{M}\left(2,5\right) $$
M
2
5
, while for n = 2, they are separated by a critical manifold corresponding to the minimal model $$ \mathcal{M}\left(2,5\right) $$
M
2
5
with $$ \mathcal{M}\left(2,7\right) $$
M
2
7
on its boundary. Our numerical analysis strongly supports our Ginzburg-Landau descriptions for multicritical Yang-Lee models.
Publisher
Springer Science and Business Media LLC
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