Multiple crossover phenomena and scale hopping in two-dimensions
Nov, 199118 pages
Published in:
- Nucl.Phys.B 380 (1992) 601-618
- Published: 1992
e-Print:
- hep-th/9112032 [hep-th]
Report number:
- PRINT-92-0009 (JULICH)
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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' \phi_{(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'.- field theory: conformal
- model: minimal
- dimension: 2
- perturbation
- renormalization group: c-function
- critical phenomena
- lattice field theory: integrability
- S-matrix: factorization
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