On the effects of irrelevant boundary scaling operators

Abstract

We investigate consequences of adding irrelevant (or less relevant) boundary operators to a (1+1)-dimensional field theory, using the Ising and the boundary sine-Gordon model as examples. In the integrable case, irrelevant perturbations are shown to multiply reflection matrices by CDD factors: the low-energy behavior is not changed, while various high-energy behaviors are possible, including ``roaming'' RG trajectories. In the non-integrable case, a Monte Carlo study shows that the IR behavior is again generically unchanged, provided scaling variables are appropriately renormalized.

4 Pages RevTeX, 3 figures (eps files)

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• Boundary S-Matrix and Boundary State in Two-Dimensional Integrable Quantum Field Theory
• Exact non-equilibrium transport through point contacts in quantum wires and fractional quantum Hall devices
• Friedel oscillations for interacting fermions in one dimension
• Boundary Sine-Gordon Interactions at the Free Fermion Point
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Cited by in corpus (5)

• Initial states in integrable quantum field theory quenches from an integral equation hierarchy
• Bosonic-type S-Matrix, Vacuum Instability and CDD Ambiguities
• Competing Boundary Interactions in a Josephson Junction Network with an Impurity
• How Irrelevant Operators affect the Determination of Fractional Charge
• Boundary Quantum Field Theories Perturbed by $\mathrm{T}\bar{\mathrm{T}}$: Towards a Form Factor Program