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Conformal invariance, the central charge, and universal finite-size amplitudes at criticality
Open accessAbstract
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.
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Citations
Cited by
Entanglement entropy and quantum field theory
Calabrese, P., & Cardy, J. (2004) · Journal of Statistical Mechanics: Theory and Experiment · doi:10.1088/1742-5468/2004/06/p06002 · Cited by 3,275
Self-citationEntanglement Entropy and Quantum Field Theory
Calabrese, P., & Cardy, J. (2004) · arXiv · doi:10.48550/arxiv.hep-th/0405152 · Cited by 3,275
Self-citationOperator content of two-dimensional conformally invariant theories
Cardy, J. L. (1986) · Nuclear Physics B · doi:10.1016/0550-3213(86)90552-3 · Cited by 1,955
Self-citationEntanglement entropy and conformal field theory
Calabrese, P., & Cardy, J. (2009) · Journal of Physics A: Mathematical and Theoretical · doi:10.1088/1751-8113/42/50/504005 · Cited by 1,688
“In this limit its density agrees with that of the Gibbs entropy of an isolated system of length , as obtained from the standard CFT expression [30, 31] βF ∼ −(πc/6)( /β) for its free energy.”
BackgroundSelf-citationBoundary conditions, fusion rules and the Verlinde formula
Cardy, J. L. (1989) · Nuclear Physics B · doi:10.1016/0550-3213(89)90521-x · Cited by 1,335
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Metadata
- Authors
- Blöte, H. W. J., Cardy, J. L., & Nightingale, M. P.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1986-02-17
- Volume
- 56
- Issue
- 7
- Pages
- 742-745
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2075813134
- Cited by
- 1,546
- References
- 0
- FWCI
- 35.81
- Type
- journal article
- Language
- en
- Open access
- green
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- 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. https://doi.org/10.1103/physrevlett.56.742
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