Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Finite size eects in perturbed boundary conformal eld theories

Patrick Dorey, Mathias Pillin, Andrew Pocklington, Ingo Runkel B, Roberto Tateo, G.M.T. Watts

Published Jan 1, 2000• 0 citations
OpenAlex

Abstract

Wediscussthenite-sizepropertiesofasimpleintegrablequantumeldtheoryin1+1di- mensionswith non-trivialboundaryconditions. Novelo-criticalidentities betweencylinderpartition functions of models with diering boundary conditions are derived.

Related papers

Finite size effects in perturbed boundary conformal field theories

Roberto Tateo, Patrick Dorey, Mathias Pillin +3 more

We discuss the finite-size properties of a simple integrable quantum field theory in 1+1 dimensions with non-trivial boundary conditions.Novel off-critical identities between cylinder partition functions of models with differing boundary conditions are derived.

Non-perturbative Quantum Effects•Sep 25, 2000•6 citations

Finite size effects in perturbed boundary conformal field theories

Patrick Dorey, Mathias Pillin, Pocklington, A. +3 more

We discuss the finite-size properties of a simple integrable quantum field theory in 1+1 dimensions with non-trivial boundary conditions. Novel off-critical identities between cylinder partition functions of models with differing boundary conditions are derived.

arXiv:hep-th/0010278•Oct 30, 2000•4 citations

Finite lattice Bethe ansatz systems and the Heun equation

Patrick Dorey, SUZUKI J, Roberto Tateo

We discuss the finite-size properties of a simple integrable quantum field theory in 1+1 dimensions with non-trivial boundary conditions. Novel off-critical identities between cylinder partition functions of models with differing boundary conditions are derived.

•Jan 1, 2004•0 citations

Finite Size Scaling and Conformal Curves

M. A. Rajabpour, Saman Moghimi-Araghi

In this letter we investigate the finite size scaling effect on SLE($κ,ρ$) and boundary conformal field theories and find the effect of fixing some boundary conditions on the free energy per length of SLE($κ,ρ$). As an application, we will derive the entanglement entropy of quantum systems in critical regime in presence of boundary operators.

arXiv:hep-th/0511067•Nov 6, 2005•1 citation

One-point functions in perturbed boundary conformal field theories

Patrick Dorey, PILLIN M, WATTS G. +1 more

•Jan 1, 2001•0 citations

Finite-size corrections to the energy spectra of gapless one-dimensional systems in the presence of boundaries

Yifan Liu, Haruki Shimizu, Atsushi Ueda +1 more

We present the finite-size scaling theory of one-dimensional quantum critical systems in the presence of boundaries. While the finite-size spectrum in the conformal limit, namely of a conformal field theory with conformally invariant boundary conditions, is related to the dimensions of boundary operators by Cardy, the actual spectra of lattice models are affected by both bulk and boundary perturbations and contain non-universal boundary energies. We obtain a general expression of the finite-size energy levels in the presence of bulk and boundary perturbations. In particular, a generic boundary perturbation related to the energy-momentum tensor gives rise to a renormalization of the effective system size. We verify our field-theory formulation by comparing the results with the exact solution of the critical transverse-field Ising chain and with accurate numerical results on the critical three-state Potts chain obtained by Density-Matrix Renormalization Group.

arXiv:2405.06891•SciPost Physics•Oct 2, 2024•6 citations
In this letter we investigate the finite size scaling effect on SLE(κ,ρκ,ρκ,ρ) and boundary conformal field theories and find the effect of fixing some boundary conditions on the free energy per length of SLE(κ,ρκ,ρκ,ρ). As an application, we will derive the entanglement entropy of quantum systems in critical regime in presence of boundary operators.
We present the finite-size scaling theory of one-dimensional quantum critical systems in the presence of boundaries. While the finite-size spectrum in the conformal limit, namely of a conformal field theory with conformally invariant boundary conditions, is related to the dimensions of boundary operators by Cardy, the actual spectra of lattice models are affected by both bulk and boundary perturbations and contain non-universal boundary energies. We obtain a general expression of the finite-size energy levels in the presence of bulk and boundary perturbations. In particular, a generic boundary perturbation related to the energy-momentum tensor gives rise to a renormalization of the effective system size. We verify our field-theory formulation by comparing the results with the exact solution of the critical transverse-field Ising chain and with accurate numerical results on the critical three-state Potts chain obtained by Density-Matrix Renormalization Group.