Multiple Crossover Phenomena and Scale Hopping in Two Dimensions

Abstract

We study the renormalization group for nearly marginal perturbations of a minimal conformal field theory M_p with p >> 1. To leading order in perturbation theory, we find a unique one-parameter family of ``hopping trajectories'' that is characterized by a staircase-like renormalization group flow of the C-function and the anomalous dimensions and that is related to a recently solved factorizable scattering theory. We argue that this system is described by interactions of the form t phi_{(1,3)} - t' ϕ_{(3,1)} . As a function of the relevant parameter t, it undergoes a phase transition with new critical exponents simultaneously governed by all fixed points M_p, M_{p-1}, ..., M_3. Integrable lattice models represent different phases of the same integrable system that are distinguished by the sign of the irrelevant parameter t'.

20 pages, 5 figures

References in corpus (1)

• Exact Critical Exponents of the Staircase Model

Cited by in corpus (8)

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• Exact g-function flows from the staircase model
• Roaming form factors for the tricritical to critical Ising flow
• Form factor relocalisation and interpolating renormalisation group flows from the staircase model
• Entanglement entropy along a massless renormalisation flow: the tricritical to critical Ising crossover