Quantum spin chain with 'soliton nonpreserving' boundary conditions - INSPIRE

DataBETA

Quantum spin chain with 'soliton nonpreserving' boundary conditions

Anastasia Doikou
(
- Durham U.
)

Jun, 2000

10 pages

Published in:

J.Phys.A 33 (2000) 8797-8808

e-Print:

hep-th/0006197 [hep-th]

DOI:

10.1088/0305-4470/33/48/315

Report number:

DTP-00-46

View in:

reference search46 citations

Citations per year

Abstract:

We consider the case of an integrable quantum spin chain with "soliton non-peserving" boundary conditions. This is the first time that such boundary conditions have been considered in the spin chain framework. We construct the transfer matrix of the model, we study its symmetry and we find explicit expressions for its eigenvalues. Moreover, we derive a new set of Bethe ansatz equations by means of the analytical Bethe ansatz method.

Note:

12 pages, LaTeX, two appendices added, minor corrections Report-no: DTP/00/46

model: spin
boundary condition
transfer matrix
Bethe ansatz
integrability
monodromy: asymptotic behavior

References(26)

Figures(0)

The Highest weight property for the SU-q(N) invariant spin chains

H.J. de vega
(
- Paris U., VI-VII
)
,
A. Gonzalez-Ruiz
(
- Madrid U.
)

- Phys.Lett.B 332 (1994) 123-128
•
e-Print:
- hep-th/9405023
•
DOI:
- 10.1016/0370-2693(94)90868-0

Duality and quantum algebra symmetry of the A**(1)(N-1) open spin chain with diagonal boundary fields

Anastasia Doikou
(
- Miami U.
)
,
Rafael I. Nepomechie
(
- Miami U.
)

- Nucl.Phys.B 530 (1998) 641-664
•
e-Print:
- hep-th/9807065
•
DOI:
- 10.1016/S0550-3213(98)00567-7

Soliton S matrices for the critical A(1)(N-1) chain

Anastasia Doikou
(
- Miami U.
)
,
Rafael I. Nepomechie
(
- Miami U.
)

- Phys.Lett.B 462 (1999) 121-131
•
e-Print:
- hep-th/9906069
•
DOI:
- 10.1016/S0370-2693(99)00873-4

Soliton preserving boundary condition in affine Toda field theories

Gustav W. Delius
(
- King's Coll. London
)

- Phys.Lett.B 444 (1998) 217-223
•
e-Print:
- hep-th/9809140
•
DOI:
- 10.1016/S0370-2693(98)01384-7

Background field boundary conditions for affine Toda field theories

- Nucl.Phys.B 465 (1996) 350-364
•
e-Print:
- hep-th/9510071
•
DOI:
- 10.1016/0550-3213(96)00050-8

- Nucl.Phys.B 542 650

Integrable field theory with boundary conditions

Edward Corrigan
(
- Durham U.
)

•
e-Print:
- hep-th/9612138

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

- Theor.Math.Phys. 56 805

A Method Of Functional Equations In The Theory Of Exactly Solvable Quantum Systems

N.Yu. Reshetikhin
(
- Steklov Math. Inst., St. Petersburg
)

- Lett.Math.Phys. 7 (1983) 205-213,
- Lett. Math. Phys. 7 ( 1983) 205-213
•
DOI:
- 10.1007/BF00400435

- Sov.Phys.JETP 7 691

- Lett.Math.Phys. 14 235

Analytical Bethe Ansatz for quantum algebra invariant spin chains

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

- Nucl.Phys.B 372 (1992) 597-621
•
e-Print:
- hep-th/9110050
•
DOI:
- 10.1016/0550-3213(92)90367-K

Spectrum of transfer matrix for U-q (B(n)) invariant A(2n)(2) open spin chain

- Int.J.Mod.Phys.A 10 (1995) 1937-1952
•
e-Print:
- hep-th/9409130
•
DOI:
- 10.1142/S0217751X95000942

Some exact results for the many body problems in one dimension with repulsive delta function interaction

Chen-Ning Yang
(
- SUNY, Stony Brook
)

- Phys.Rev.Lett. 19 (1967) 1312-1314
•
DOI:
- 10.1103/PhysRevLett.19.1312

New integrable quantum chains combining different kinds of spins

H.J. de Vega
(
- Paris U., VI-VII
)
,
F. Woynarovich
(
- Budapest, RMKI
)

- J.Phys.A 25 (1992) 4499-4516

Excitations and S-matrix for $su$ (3) spin chain combining ${3}$ and ${3^{*}}$

J. Abad
(
- Zaragoza U.
)
,
M. Ríos
(
- Zaragoza U.
)

- J.Phys.A 31
•
e-Print:
- cond-mat/9801129
•
DOI:
- 10.1088/0305-4470/31/10/005

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

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

- Int.J.Mod.Phys.A 9 (1994) 3841-3886,
- Int.J.Mod.Phys.A 9 (1994) 4353 (erratum)
•
e-Print:
- hep-th/9306002
•
DOI:
- 10.1142/S0217751X94001552

- Int.J.Mod.Phys.A 8 73

Exact S matrices with affine quantum group symmetry

G.W. Delius
(
- King's Coll. London
)

- Nucl.Phys.B 451 (1995) 445-468
•
e-Print:
- hep-th/9503079
•
DOI:
- 10.1016/0550-3213(95)00336-Q

Factorizing Particles on a Half Line and Root Systems

I.V. Cherednik
(
- Moscow State U.
)

- Theor.Math.Phys. 61 (1984) 977-983,
- Teor.Mat.Fiz. 61 (1984) 35-44
•
DOI:
- 10.1007/BF01038545

- J.Phys.A 24 17

On the Bound State Problem in (1+1)-dimensional Field Theories

M. Karowski
(
- Freie U., Berlin
)

- Nucl.Phys.B 153 (1979) 244-252
•
DOI:
- 10.1016/0550-3213(79)90600-X

Fusion procedure for open chains

Luca Mezincescu
(
- CERN
)
,
Rafael I. Nepomechie
(
- CERN
)

- J.Phys.A 25 (1992) 2533-2544

1-25 of 26
1
2
25 / page