Tricritical Ising Model near criticality

TL;DR

This paper investigates the tricritical Ising model near criticality, addressing IR divergences in perturbation theory, and compares short-distance correlator behavior with long-distance form factor results.

Contribution

It develops an all-order OPE approach to handle IR divergences in the perturbed tricritical Ising model and compares short-distance results with integrability-based methods.

Findings

Successful description of short-distance correlators

Resolution of IR divergence issues in perturbation theory

Consistency with form factor long-distance expansion

Abstract

The most relevant thermal perturbation of the continuous d=2 minimal conformal theory with c=7/10 (Tricritical Ising Model) is treated here. This model describes the scaling region of the phi^6 universality class near the tricritical point. The problematic IR divergences of the naive perturbative expansion around conformal theories are dealt within the OPE approach developed at all orders by the authors. The main result is a description of the short distance behaviour of correlators that is compared with existing long distance expansion (form factors approach) related to the integrability of the model.