Excited state TBA for the φ2,1 perturbed M3,5 model

R. M. Ellem; V. V. Bazhanov

doi:10.1016/S0550-3213(02)00843-X

Excited state TBA for the φ_2,1 perturbed M_3,5 model

R. M. Ellem, V. V. Bazhanov^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

We examine some excited state energies in the non-unitary integrable quantum field theory (IQFT) obtained from the perturbation of the minimal conformal field theory (CFT) model M_3,5 by its operator φ_2,1. Using the correspondence of this IQFT to the scaling limit of the dilute-A₂ lattice model (in a particular regime) we derive the functional equations for the QFT commuting transfer matrices. These functional equations can be transformed to a closed set of TBA-like integral equations which determine the excited state energies in the finite-size system. In particular, we explicitly construct these equations for the ground state and two lowest excited states. Numerical results for the associated energy gaps are compared with those obtained by the truncated conformal space approach (TCSA).

Original language	English
Pages (from-to)	404-432
Number of pages	29
Journal	Nuclear Physics B
Volume	647
Issue number	3
DOIs	https://doi.org/10.1016/S0550-3213(02)00843-X
Publication status	Published - 30 Dec 2002

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abstract = "We examine some excited state energies in the non-unitary integrable quantum field theory (IQFT) obtained from the perturbation of the minimal conformal field theory (CFT) model M3,5 by its operator φ2,1. Using the correspondence of this IQFT to the scaling limit of the dilute-A2 lattice model (in a particular regime) we derive the functional equations for the QFT commuting transfer matrices. These functional equations can be transformed to a closed set of TBA-like integral equations which determine the excited state energies in the finite-size system. In particular, we explicitly construct these equations for the ground state and two lowest excited states. Numerical results for the associated energy gaps are compared with those obtained by the truncated conformal space approach (TCSA).",

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AU - Ellem, R. M.

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N2 - We examine some excited state energies in the non-unitary integrable quantum field theory (IQFT) obtained from the perturbation of the minimal conformal field theory (CFT) model M3,5 by its operator φ2,1. Using the correspondence of this IQFT to the scaling limit of the dilute-A2 lattice model (in a particular regime) we derive the functional equations for the QFT commuting transfer matrices. These functional equations can be transformed to a closed set of TBA-like integral equations which determine the excited state energies in the finite-size system. In particular, we explicitly construct these equations for the ground state and two lowest excited states. Numerical results for the associated energy gaps are compared with those obtained by the truncated conformal space approach (TCSA).

AB - We examine some excited state energies in the non-unitary integrable quantum field theory (IQFT) obtained from the perturbation of the minimal conformal field theory (CFT) model M3,5 by its operator φ2,1. Using the correspondence of this IQFT to the scaling limit of the dilute-A2 lattice model (in a particular regime) we derive the functional equations for the QFT commuting transfer matrices. These functional equations can be transformed to a closed set of TBA-like integral equations which determine the excited state energies in the finite-size system. In particular, we explicitly construct these equations for the ground state and two lowest excited states. Numerical results for the associated energy gaps are compared with those obtained by the truncated conformal space approach (TCSA).

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Excited state TBA for the φ_2,1 perturbed M_3,5 model

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