The Boundary sine-Gordon theory: Classical and semiclassical analysis

Saleur, H.; Skorik, S.; Warner, N.P.

doi:10.1016/0550-3213(95)00021-J

The Boundary sine-Gordon theory: Classical and semiclassical analysis

H. Saleur
(
- Southern California U.
)
,
S. Skorik
(
- Southern California U.
)
,
N.P. Warner
(
- Southern California U.
)

Jul, 1994

23 pages

Published in:

Nucl.Phys.B 441 (1995) 421-436

e-Print:

hep-th/9408004 [hep-th]

DOI:

10.1016/0550-3213(95)00021-J

Report number:

USC-94-013

View in:

pdf

reference search48 citations

Citations per year

Abstract:

We consider the sine-Gordon model on a half-line, with an additional potential term of the form

-M\cos{\beta\over 2}(\varphi-\varphi_0)

at the boundary. We compute the classical time delay for general values of

M

,

\beta

and

\varphi_0

using

\tau

-function methods and show that in the classical limit, the method of images still works, despite the non-linearity of the problem. We also perform a semi-classical analysis, and find agreement with the exact quantum S-matrix conjectured by Ghoshal and Zamolodchikov.

sine-Gordon model
field theory: conformal
dimension: 2
field theory: action
field equations: soliton
S-matrix
approximation: semiclassical
numerical calculations

References(14)

Figures(0)

Path integral approach to quantum Brownian motion

A.O. Caldeira
(
- Campinas State U.
)
,
A.J. Leggett
(
- Sussex U.
)

- Physica A 121 (1983) 587-616
•
DOI:
- 10.1016/0378-4371(83)90013-4

Critical theory of overscreened Kondo fixed points

- Nucl.Phys.B 360 (1991) 641-696
•
DOI:
- 10.1016/0550-3213(91)90419-X

Transmission through barriers and resonant tunneling in an interacting one-dimensional electron gas

C.L. Kane
(
- Pennsylvania U.
)
,
Matthew P.A. Fisher
(
- UC, Santa Barbara and
- IBM Watson Res. Ctr.
)

- Phys.Rev.B 46 (1992) 15233-15262
•
DOI:
- 10.1103/PhysRevB.46.15233

Exact C = 1 boundary conformal field theories

- Phys.Rev.Lett. 72 (1994) 1968-1971
•
e-Print:
- hep-th/9311092
•
DOI:
- 10.1103/PhysRevLett.72.1968

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

Semiclassical Scattering of Quantized Nonlinear Waves

R. Jackiw
(
- MIT, LNS
)
,
G. Woo
(
- MIT, LNS
)

- Phys.Rev.D 12 (1975) 1643
•
DOI:
- 10.1103/PhysRevD.12.1643

- Theor.Math.Phys. 34 1

Conformal Invariance and Surface Critical Behavior

John L. Cardy
(
- Boston U.
)

- Nucl.Phys.B 240 (1984) 514-532
•
DOI:
- 10.1016/0550-3213(84)90241-4

THEORY OF BOUNDARY EFFECTS ON SINE-GORDON SOLITONS

R.M. Deleonardis
(
- Southern California U.
)
,
S.E. Trullinger
(
- Southern California U.
)
,
R.F. Wallis
(
- UC, Irvine
)

- J.Appl.Phys. 51 (1980) 1211-1226
•
DOI:
- 10.1063/1.327690

Boundary conditions for integrable equations

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

- Funct.Anal.Appl. 21 (1987) 164-166,
- Funkt.Anal.Pril. 21N2 (1987) 86-87
•
DOI:
- 10.1007/BF01078038

- Inverse Prob. 7 435

Affine Toda field theory on a half line

Edward Corrigan
(
- Durham U.
)
,
P.E. Dorey
(
- Durham U.
)
,
R.H. Rietdijk
(
- Durham U.
)
,
R. Sasaki
(
- Kyoto U., Yukawa Inst., Kyoto
)

- Phys.Lett.B 333 (1994) 83-91
•
e-Print:
- hep-th/9404108
•
DOI:
- 10.1016/0370-2693(94)91011-1

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

Bemerkungen zur Quantenmechanik des anharmonischen Oszillators

- Z.Phys. 83 (1933) 143-151
•
DOI:
- 10.1007/BF01331132