Conformal Invariance of Nonunitary Two-dimensional Models

Itzykson, C.; Saleur, H.; Zuber, J.B.

doi:10.1209/0295-5075/2/2/004

Conformal Invariance of Nonunitary Two-dimensional Models

Mar, 1986

11 pages

Published in:

EPL 2 (1986) 91

DOI:

10.1209/0295-5075/2/2/004

Report number:

SACLAY-PhT/86-027

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Abstract: (IOP)

Finite-size effects for the free energy as well as the spectrum of the transfer matrix are modified in a specific way for nonunitary conformal invariant 2d-systems. We illustrate this behaviour in the case of the Lee-Yang edge singularity.

STATISTICAL MECHANICS: CRITICAL PHENOMENA
STATISTICAL MECHANICS: TWO-DIMENSIONAL
INVARIANCE: CONFORMAL
EFFECT: FINITE SIZE
ALGEBRA: VIRASORO
ENERGY
ALGEBRA: CENTRAL CHARGE
STATISTICAL MECHANICS: TRANSFER MATRIX
NUMERICAL CALCULATIONS

References(11)

Figures(0)

Infinite Conformal Symmetry in Two-Dimensional Quantum Field Theory

A.A. Belavin
(
- Landau Inst.
)
,
Alexander M. Polyakov
(
- Landau Inst.
)
,
A.B. Zamolodchikov
(
- CERN and
- Landau Inst.
)

- Nucl.Phys.B 241 (1984) 333-380,
- IN *ITZYKSON, C. (ED.) ET AL.: CONFORMAL INVARIANCE AND APPLICATIONS TO STATISTICAL MECHANICS* 5-52. (NUCL. PHYS. B241 (1984) 333-380) AND CERN GENEVA - TH. 3827 (84,REC.JUN.) 71 P. (SEE BOOK INDEX),
•
DOI:
- 10.1016/0550-3213(84)90052-X

Conformal Invariance, Unitarity and Two-Dimensional Critical Exponents

Daniel Friedan
(
- Chicago U., EFI and
- Chicago U.
)
,
Zong-an Qiu
(
- Chicago U., EFI and
- Chicago U.
)
,
Stephen H. Shenker
(
- Chicago U., EFI and
- Chicago U.
)

- Phys.Rev.Lett. 52 (1984) 1575-1578
•
DOI:
- 10.1103/PhysRevLett.52.1575

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

- Phys.Rev.Lett. 56 (1986) 742-745,
- Phys. Rev. Lett. 56 ( 1986) 742-745
•
DOI:
- 10.1103/PhysRevLett.56.742

Universal Term in the Free Energy at a Critical Point and the Conformal Anomaly

Ian Affleck
(
- Princeton U.
)

- Phys.Rev.Lett. 56 (1986) 746-748,
- Phys. Rev. Lett. 56 ( 1986) 746-748,
- IN *ITZYKSON, C. (ED.) ET AL.: CONFORMAL INVARIANCE AND APPLICATIONS TO STATISTICAL MECHANICS* 277-279. (PHYS. REV. LETT. 56 (1986) 746-748) AND PREPRINT - AFFLECK, I. (REC.MAR.86) 7 P. (SEE BOOK INDEX),
- IN *CARDY, J.L. (ED.): FINITE-SIZE SCALING* 347-349. (PHYS. REV. LETT. 56 (1986) 746-748) AND PREPRINT - AFFLECK, I. (REC.MAR.86) 7 P. (SEE BOOK INDEX)
•
DOI:
- 10.1103/PhysRevLett.56.746

Yang-Lee Edge Singularity and phi**3 Field Theory

M.E. Fisher
(
- Cornell U., LNS
)

- Phys.Rev.Lett. 40 (1978) 1610-1613
•
DOI:
- 10.1103/PhysRevLett.40.1610

Conformal Invariance and the Yang-lee Edge Singularity in Two-dimensions

John L. Cardy
(
- UC, Santa Barbara
)

- Phys.Rev.Lett. 54 (1985) 1354-1356,
- Also in *Itzykson, C. (ed.) et al.: Conformal invariance and applications to statistical mechanics* 200-202
•
DOI:
- 10.1103/PhysRevLett.54.1354

- J.Phys.A 14 L151

- J.Phys.A 16 L385

The Potts model

F.Y. Wu
(
- Julich, Forschungszentrum
)

- Rev.Mod.Phys. 54 (1982) 235-268,
- Rev.Mod.Phys. 55 (1983) 315-315 (erratum)
•
DOI:
- 10.1103/RevModPhys.54.235

Conformal Algebra and Multipoint Correlation Functions in Two-Dimensional Statistical Models

V.S. Dotsenko
(
- Nordita
)
,
V.A. Fateev
(
- Landau Inst.
)

- Nucl.Phys.B 240 (1984) 312,
- IN *ITZYKSON, C. (ED.) ET AL.: CONFORMAL INVARIANCE AND APPLICATIONS TO STATISTICAL MECHANICS* 214-250. (NUCL. PHYS. B240 |FS12| (1984) 312-348) AND NORDITA COPENHAGEN - NORDITA-84-08 (84,REC.MAY) 75 P. (SEE BOOK INDEX),
•
DOI:
- 10.1016/0550-3213(84)90269-4

- J.Phys.A 14 L45