Nonintegrable aspects of the multifrequency Sine-Gordon model - INSPIRE

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Nonintegrable aspects of the multifrequency Sine-Gordon model

G. Delfino
(
- Montpellier U.
)
,
G. Mussardo
(
- SISSA, Trieste and
- INFN, Trieste and
- ICTP, Trieste
)

Sep, 1997

38 pages

Published in:

Nucl.Phys.B 516 (1998) 675-703

e-Print:

hep-th/9709028 [hep-th]

DOI:

10.1016/S0550-3213(98)00063-7

Report number:

ISAS-EP-97-106,
IC-97-129

View in:

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Abstract:

We consider the two-dimensional quantum field theory of a scalar field self-interacting via two periodic terms of frequencies

\alpha

and

\beta

. Looking at the theory as a perturbed Sine-Gordon model, we use Form Factor Perturbation Theory to analyse the evolution of the spectrum of particle excitations. We show how, within this formalism, the non-locality of the perturbation with respect to the solitons is responsible for their confinement in the perturbed theory. The effects of the frequency ratio

\alpha/\beta

being a rational or irrational number and the occurrence of massless flows from the gaussian to the Ising fixed point are also discussed. A generalisation of the Ashkin-Teller model and the massive Schwinger model are presented as examples of application of the formalism.

Note:

39 pages, latex, 10 figures Report-no: ISAS/EP/97/106, IC/97/129

11.25.Db
I1.l0.Kk
Form factor perturbation theory
Soliton confinement
sine-Gordon model
dimension: 2
perturbation theory: higher-order
form factor
soliton
integrability

References(29)

Figures(0)

The Particle Spectrum in Model Field Theories from Semiclassical Functional Integral Techniques

- Phys.Rev.D 11 (1975) 3424
•
DOI:
- 10.1103/PhysRevD.11.3424

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

Quantization of Solitons

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

Products of Topological Amplitudes: An Algebraic Solution

Jean-Pierre Sursock
(
- LBL, Berkeley
)

- Nucl.Phys.B 139 (1978) 445-454
•
DOI:
- 10.1016/0550-3213(78)90361-9

Form-factors of exponential fields in the Sine-Gordon model

Sergei L. Lukyanov
(
- Cornell U., LNS and
- Landau Inst.
)

- Mod.Phys.Lett.A 12 (1997) 2543-2550
•
e-Print:
- hep-th/9703190
•
DOI:
- 10.1142/S0217732397002673

On the operator content of the sinh-Gordon model

A. Koubek
(
- SISSA, Trieste
)
,
G. Mussardo
(
- Sissa, Trieste and
- INFN, Trieste
)

- Phys.Lett.B 311 (1993) 193-201
•
e-Print:
- hep-th/9306044
•
DOI:
- 10.1016/0370-2693(93)90554-U

Calculation of critical exponents in two-dimensions from quantum field theory in one-dimension

A. Luther
(
- Harvard U.
)
,
I. Peschel
(
- Harvard U.
)

- Phys.Rev.B 12 (1975) 3908-3917
•
DOI:
- 10.1103/PhysRevB.12.3908

Eigenvalue spectrum of interacting massive fermions in one-dimension

A. Luther
(
- Nordita
)

- Phys.Rev.B 14 (1976) 2153-2159
•
DOI:
- 10.1103/PhysRevB.14.2153

Self-Induced Transparency

S.L. McCall
(
- UC, Berkeley
)
,
E.L. Hahn
(
- UC, Berkeley
)

- Phys.Rev. 183 (1969) 457-485
•
DOI:
- 10.1103/PhysRev.183.457

Analytical Descriptions of Ultrashort Optical Pulse Propagation in a Resonant Medium

G.L. LAMB
(
- Unlisted
)

- Rev.Mod.Phys. 43 (1971) 99-124
•
DOI:
- 10.1103/RevModPhys.43.99

Quantum theory of selfinduced transparency

Andre LeClair
(
- Cornell U., LNS
)

- Nucl.Phys.B 450 (1995) 753-767
•
e-Print:
- hep-th/9505086
•
DOI:
- 10.1016/0550-3213(95)00337-R

Experimental properties of superfluid He-3

John C. Wheatley
(
- UC, San Diego
)

- Rev.Mod.Phys. 47 (1975) 415-470
•
DOI:
- 10.1103/RevModPhys.47.415

- Phys.Rev.B 14 118

- Phys.Rev.B 14 3920

- IEEE Proc. 10 1443

Nonintegrable quantum field theories as perturbations of certain integrable models

G. Delfino
(
- Oxford U.
)
,
G. Mussardo
(
- SISSA, Trieste and
- ICTP, Trieste and
- INFN, Trieste
)
,
P. Simonetti
(
- Swansea U.
)

- Nucl.Phys.B 473 (1996) 469-508
•
e-Print:
- hep-th/9603011
•
DOI:
- 10.1016/0550-3213(96)00265-9

Two-dimensional Ising Field Theory in a Magnetic Field: Breakup of the Cut in the Two Point Function

Barry M. McCoy
(
- SUNY, Stony Brook
)
,
Tai Tsun Wu
(
- Utrecht U.
)

- Phys.Rev.D 18 (1978) 1259
•
DOI:
- 10.1103/PhysRevD.18.1259

Two point correlation function in scaling Lee-Yang model

A.B. Zamolodchikov
(
- SISSA, Trieste
)

- Nucl.Phys.B 348 (1991) 619-641
•
DOI:
- 10.1016/0550-3213(91)90207-E

Correlation functions of integrable 2-D models of relativistic field theory. Ising model

V.P. Yurov
(
- Moscow, ITEP
)
,
A.B. Zamolodchikov
(
- SISSA, Trieste
)

- Int.J.Mod.Phys.A 6 (1991) 3419-3440
•
DOI:
- 10.1142/S0217751X91001660

Irreversibility of the Flux of the Renormalization Group in a 2D Field Theory

A.B. Zamolodchikov
(
- Moscow, ITEP
)

- JETP Lett. 43 (1986) 730-732,
- Pisma Zh.Eksp.Teor.Fiz. 43 (1986) 565-567

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

- Annals Phys. 120 39

Correlation functions on the critical lines of the Baxter and Ashkin-Teller models

Leo P. Kadanoff
,
Alan C. Brown
(
- Brown U.
)

- Annals Phys. 121 (1979) 318-342
•
DOI:
- 10.1016/0003-4916(79)90100-3

Integrability of coupled conformal field theories

A. LeClair
(
- Santa Barbara, KITP
)
,
A. Ludwig
(
- Santa Barbara, KITP
)
,
G. Mussardo
(
- SISSA, Trieste and
- INFN, Trieste and
- ICTP, Trieste
)

- Nucl.Phys.B 512 (1998) 523-542
•
e-Print:
- hep-th/9707159
•
DOI:
- 10.1016/S0550-3213(97)00724-4

Charge Shielding and Quark Confinement in the Massive Schwinger Model

Sidney R. Coleman
(
- Harvard U.
)
,
R. Jackiw
(
- MIT, LNS
)
,
Leonard Susskind
(
- Yeshiva U. and
- Tel Aviv U.
)

- Annals Phys. 93 (1975) 267
•
DOI:
- 10.1016/0003-4916(75)90212-2

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