Finite Size Corrections for Integrable Systems and Conformal Properties of Six Vertex Models

Karowski, M.

doi:10.1016/0550-3213(88)90608-6

Finite Size Corrections for Integrable Systems and Conformal Properties of Six Vertex Models

M. Karowski
(
- Zurich, ETH
)

Feb 25, 1988

27 pages

Published in:

Nucl.Phys.B 300 (1988) 473-499

Published: 1988

DOI:

10.1016/0550-3213(88)90608-6

Report number:

PRINT-88-0153 (ZURICH)

View in:

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Abstract: (Elsevier)

Statistical systems at second-order phase-transition points should exhibit conformal invariance at long distances. Their conformal properties can be analysed by investigating finite-size scaling behaviour. For integrable lattice models in two dimensions, methods are proposed to calculate, from the Bethe ansatz solution, the conformal anomaly c and all scaling dimensions. As an application results for the q -state Potts model and modified six-vertex models are presented.

LATTICE FIELD THEORY: TWO-DIMENSIONAL
LATTICE FIELD THEORY: CRITICAL PHENOMENA
INVARIANCE: CONFORMAL
SCALING
EFFECT: FINITE SIZE
FIELD THEORY: INTEGRABILITY
MODEL: VERTEX
MODEL: POTTS
ALGEBRA: CENTRAL CHARGE

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