A renormalization group for the truncated conformal space approach

TY - JOUR

T1 - A renormalization group for the truncated conformal space approach

AU - Feverati, G

AU - Graham, K

AU - Pearce, P A

AU - Toth, G Z

AU - Watts, G M T

PY - 2008/3/1

Y1 - 2008/3/1

N2 - We discuss the errors introduced by level truncation in the study of boundary renormalization group (RG). flows using the truncated conformal space approach (TCSA). We show that the TCSA results can have the qualitative form of a sequence of RG flows between different conformal boundary conditions. In the case of a perturbation by the field phi((13)), we propose a RG equation for the coupling constant which predicts a. fixed point at a finite value of the TCSA coupling constant and we compare the predictions with data obtained using thermodynamic Bethe ansatz equations

AB - We discuss the errors introduced by level truncation in the study of boundary renormalization group (RG). flows using the truncated conformal space approach (TCSA). We show that the TCSA results can have the qualitative form of a sequence of RG flows between different conformal boundary conditions. In the case of a perturbation by the field phi((13)), we propose a RG equation for the coupling constant which predicts a. fixed point at a finite value of the TCSA coupling constant and we compare the predictions with data obtained using thermodynamic Bethe ansatz equations

U2 - 10.1088/1742-5468/2008/03/P03011

DO - 10.1088/1742-5468/2008/03/P03011

M3 - Article

VL - 2008

JO - Journal of Statistical Mechanics: Theory and Experiment

JF - Journal of Statistical Mechanics: Theory and Experiment

IS - 3

M1 - P03011

ER -