Critical Ising Model with Boundary Magnetic Field: RG Interface and Effective Hamiltonians
Abstract
Critical 2D Ising model with a boundary magnetic field is arguably the simplest QFT that interpolates between two non-trivial fixed points. We use the diagonalising Bogolyubov transformation for this model to investigate two quantities. Firstly we explicitly construct an RG interface operator that is a boundary condition changing operator linking the free boundary condition with the one with a boundary magnetic field. We investigate its properties and in particular show that in the limit of large magnetic field this operator becomes the dimension 1/16 primary field linking the free and fixed boundary conditions. Secondly we use Schrieffer-Wolff method to construct effective Hamiltonians both near the UV and IR fixed points.
Keywords
Cite
@article{arxiv.1811.07599,
title = {Critical Ising Model with Boundary Magnetic Field: RG Interface and Effective Hamiltonians},
author = {Anatoly Konechny},
journal= {arXiv preprint arXiv:1811.07599},
year = {2019}
}
Comments
38 pages; v.2 minor changes, to appear in JHEP