A study of truncation effects in boundary flows of the Ising model on a strip

Abstract

We investigate the idea that the effect of the truncation applied in the TCSA method on the spectrum coincides with the effect of a suitable changing of the coefficients of the terms in the Hamiltonian operator. The investigation is done in the case of the critical Ising model on a strip with an external magnetic field on one of the boundaries. A detailed quantum field theoretical description of this model is also given, and we propose a description as a perturbation of the infinite coupling limit. The investigation is also carried out for a truncation method which preserves the solvability of the model. The results of perturbative and numerical calculations presented support the above idea and show that the qualitative behaviour of the truncated spectrum as a function of the coupling constant depends on the truncation method.

39 pages

References in corpus (5)

• Characterization of resonances using finite size effects
• A Renormalisation group for TCSA
• A nonperturbative study of phase transitions in the multi-frequency sine-Gordon model
• Boundary renormalisation group flows of unitary superconformal minimal models
• Ising model with a boundary magnetic field - an example of a boundary flow

Cited by in corpus (9)

• A Cheap Alternative to the Lattice?
• Non-perturbative methodologies for low-dimensional strongly-correlated systems: From non-abelian bosonization to truncated spectrum methods
• A Conformal Truncation Framework for Infinite-Volume Dynamics
• On the renormalisation group for the boundary Truncated Conformal Space Approach
• Boundary RG Flows for Fermions and the Mod 2 Anomaly
• Counterterms in Truncated Conformal Perturbation Theory
• Critical Ising Model with Boundary Magnetic Field: RG Interface and Effective Hamiltonians
• On asymptotic behaviour in truncated conformal space approach
• Ising model in a boundary magnetic field with random discontinuities