Conformal Invariance, the Central Charge, and Universal Finite-Size Amplitudes at Criticality

Authors

H. W.J. Blöte
John L. Cardy
M. P. Nightingale, University of Rhode IslandFollow

Document Type

Article

Date of Original Version

2-17-1986

Abstract

We show that for conformally invariant two-dimensional systems, the amplitude of the finite-size corrections to the free energy of an infinitely long strip of width L at criticality is linearly related to the conformal anomaly number c, for various boundary conditions. The result is confirmed by renormalization-group arguments and numerical calculations. It is also related to the magnitude of the Casimir effect in an interacting one-dimensional field theory, and to the low-temperature specific heat in quantum chains.

Citation/Publisher Attribution

Blöte, H. W. J., Cardy, J. L., & Nightingale, M. P. (1986). Conformal invariance, the central charge, and universal finite-size amplitudes at criticality. Physical Review Letters, 56(7), 742-745. doi: 10.1103/PhysRevLett.56.742

Available at: http://dx.doi.org/10.1103/PhysRevLett.56.742

Publisher Statement

©1986 The American Physical Society