Boundary S matrix and boundary state in two-dimensional integrable quantum field theory

Ghoshal, Subir; Zamolodchikov, Alexander B.

doi:10.1142/S0217751X94001552

Boundary S matrix and boundary state in two-dimensional integrable quantum field theory

Jun 8, 1993

59 pages

Published in:

Int.J.Mod.Phys.A 9 (1994) 3841-3886,
Int.J.Mod.Phys.A 9 (1994) 4353 (erratum)

e-Print:

hep-th/9306002 [hep-th]

DOI:

10.1142/S0217751X94001552

Report number:

RU-93-20

View in:

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Abstract:

We study integrals of motion and factorizable S-matrices in two-dimensional integrable field theory with boundary. We propose the ``boundary cross-unitarity equation'' which is the boundary analog of the cross-symmetry condition of the ``bulk'' S-matrix. We derive the boundary S-matrices for the Ising field theory with boundary magnetic field and for the boundary sine-Gordon model.

field theory
dimension: 2
integrability
S-matrix: factorization
boundary condition
Ising model
sine-Gordon equation

References(25)

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OPEN STRING THEORY AS DISSIPATIVE QUANTUM MECHANICS

Curtis G. Callan, Jr.
(
- SLAC and
- Princeton U.
)
,
Larus Thorlacius
(
- SLAC and
- Princeton U.
)

- Nucl.Phys.B 329 (1990) 117-138
•
DOI:
- 10.1016/0550-3213(90)90060-Q

On background independent open string field theory

Edward Witten
(
- Princeton, Inst. Advanced Study
)

- Phys.Rev.D 46 (1992) 5467-5473
•
e-Print:
- hep-th/9208027
•
DOI:
- 10.1103/PhysRevD.46.5467

Factorized s Matrices in Two-Dimensions as the Exact Solutions of Certain Relativistic Quantum Field Models

- Annals Phys. 120 (1979) 253-291,
- Also in *Jimbo, M. (ed.): Yang-Baxter equation in integrable systems* 82-120, and in *Rebbi, C. (ed.), Soliani, G. (ed.): Solitons and Particles*, 446-484,
•
DOI:
- 10.1016/0003-4916(79)90391-9

Integrable field theory from conformal field theory

A.B. Zamolodchikov
(
- Landau Inst.
)

- Adv.Stud.Pure Math. 19 (1989) 641-674

Boundary Conditions, Fusion Rules and the Verlinde Formula

John L. Cardy
(
- UC, Santa Barbara
)

- Nucl.Phys.B 324 (1989) 581-596
•
DOI:
- 10.1016/0550-3213(89)90521-X

Bulk and boundary operators in conformal field theory

- Phys.Lett.B 259 (1991) 274-278
•
DOI:
- 10.1016/0370-2693(91)90828-E

The principal chiral field in two dimensions on classical lie algebras: The Bethe-ansatz solution and factorized theory of scattering

E. Ogievetsky
(
- Moscow, ITEP
)
,
N. Reshetikhin
(
- Steklov Math. Inst., St. Petersburg
)
,
P. Wiegmann
(
- Moscow, ITEP
)

- Nucl.Phys.B 280 (1987) 45-96,
- Nucl.Phys.B 280 (1987) 45-96
•
DOI:
- 10.1016/0550-3213(87)90138-6

- Phys.Lett.B 225 243

S Matrices for Perturbations of Certain Conformal Field Theories

P.G.O. Freund
(
- Chicago U., EFI and
- Chicago U.
)
,
T.R. Klassen
(
- Chicago U., EFI and
- Chicago U.
)
,
E. Melzer
(
- Chicago U., EFI and
- Chicago U.
)

- Phys.Lett.B 229 (1989) 243-247
•
DOI:
- 10.1016/0370-2693(89)91165-9

Bootstrap Fusions and Tricritical Potts Model Away From Criticality

Galen Sotkov
(
- SISSA, Trieste
)
,
Chuan-Jie Zhu
(
- SISSA, Trieste
)

- Phys.Lett.B 229 (1989) 391-397
•
DOI:
- 10.1016/0370-2693(89)90425-5

- Teor.Mat.Fiz. 61 977

The Quantum method of the inverse problem and the Heisenberg XYZ model

- Russ.Math.Surveys 34 (1979) 5, 11-68,
- Usp.Mat.Nauk 34 (1979) 5, 13-63

Integrable Systems Away from Criticality: The Toda Field Theory and S Matrix of the Tricritical Ising Model

P. Christe
(
- UC, Santa Barbara
)
,
G. Mussardo
(
- UC, Santa Barbara
)

- Nucl.Phys.B 330 (1990) 465-487
•
DOI:
- 10.1016/0550-3213(90)90119-X

Boundary Conditions for Integrable Quantum Systems

E.K. Sklyanin
(
- Steklov Math. Inst., St. Petersburg
)

- J.Phys.A 21 (1988) 2375-2389
•
DOI:
- 10.1088/0305-4470/21/10/015

Integrability of open spin chains with quantum algebra symmetry

Luca Mezincescu
(
- Miami U.
)
,
Rafael I. Nepomechie
(
- Miami U.
)

- Int.J.Mod.Phys.A 6 (1991) 5231-5248,
- Int.J.Mod.Phys.A 7 (1992) 5657-5659 (addendum)
•
e-Print:
- hep-th/9206047
•
DOI:
- 10.1142/S0217751X9200257X

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

- Proc.Japan Acad.A 53 6

ESSENTIALLY NONLINEAR ONE-DIMENSIONAL MODEL OF THE CLASSICAL FIELD THEORY

L.D. Faddeev
(
- Dubna, JINR
)
,
L.A. Takhtajan
(
- Dubna, JINR
)

- Theor.Math.Phys. 21 (1975) 1046,
- Teor.Mat.Fiz. 21 (1974) 160-174

Quantization of Solitons

- Theor.Math.Phys. 25 (1975) 1039-1049,
- Teor.Mat.Fiz. 25 (1975) 147-163
•
DOI:
- 10.1007/BF01028946

The Quantum Sine-Gordon Equation as the Massive Thirring Model

Sidney R. Coleman
(
- Harvard U.
)

- Phys.Rev.D 11 (1975) 2088,
•
DOI:
- 10.1103/PhysRevD.11.2088

Quantum Nonlocal Charges and Absence of Particle Production in the Two-Dimensional Nonlinear Sigma Model

M. Luscher
(
- Bohr Inst.
)

- Nucl.Phys.B 135 (1978) 1-19,
- Nucl.Phys.B135 (1978) 1-19 and Copenhagen Univ - NBI-HE-77-44 (77,REC.DEC) 40p
•
DOI:
- 10.1016/0550-3213(78)90211-0

Quantum group symmetries and nonlocal currents in 2-D QFT

Denis Bernard
(
- Saclay
)
,
Andre Leclair
(
- Cornell U., LNS
)

- Commun.Math.Phys. 142 (1991) 99-138
•
DOI:
- 10.1007/BF02099173

Thermodynamic Bethe Ansatz in Relativistic Models. Scaling Three State Potts and Lee-yang Models

A.B. Zamolodchikov
(
- Moscow, ITEP
)

- Nucl.Phys.B 342 (1990) 695-720
•
DOI:
- 10.1016/0550-3213(90)90333-9

- Nucl.Phys.B 385 619

Massless factorized scattering and sigma models with topological terms

- Nucl.Phys.B 379 (1992) 602-623
•
DOI:
- 10.1016/0550-3213(92)90136-Y