Correlation functions in the two-dimensional Ising model in a magnetic field at T = T(c) - INSPIRE

DataBETA

Correlation functions in the two-dimensional Ising model in a magnetic field at T = T(c)

G. Delfino
(
- Oxford U.
)
,
P. Simonetti
(
- Swansea U.
)

May, 1996

19 pages

Published in:

Phys.Lett.B 383 (1996) 450-456

e-Print:

hep-th/9605065 [hep-th]

DOI:

10.1016/0370-2693(96)00783-6

Report number:

OUTP-96-19-S,
SWAT-95-96-110

View in:

reference search50 citations

Citations per year

Abstract:

The one and two-particle form factors of the energy operator in the two-dimensional Ising model in a magnetic field at

T=T_c

are exactly computed within the form factor bootstrap approach. Together with the matrix elements of the magnetisation operator already computed in ref.\,\cite{immf}, they are used to write down the large distance expansion for the correlators of the two relevant fields of the model.

Note:

18 pages, latex, 7 tables Report-no: OUTP-96-19S, SWAT/95-96/110

Ising model
dimension: 2
correlation function
magnetic field
form factor
bootstrap
field theory: conformal
numerical calculations

References(24)

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

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

Integrals of Motion in Scaling Three State Potts Model Field Theory

A.B. Zamolodchikov
(
- Landau Inst.
)

- Int.J.Mod.Phys.A 3 (1988) 743-750,
- Also in *Itzykson, C. (ed.) et al.: Conformal invariance and applications to statistical mechanics* 705-712
•
DOI:
- 10.1142/S0217751X88000333

Off critical statistical models: Factorized scattering theories and bootstrap program

Giuseppe Mussardo
(
- SISSA, Trieste
)

- Phys.Rept. 218 (1992) 215-379
•
DOI:
- 10.1016/0370-1573(92)90047-4

The Spin spin correlation function in the two-dimensional Ising model in a magnetic field at T = T(c)

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

- Nucl.Phys.B 455 (1995) 724-758
•
e-Print:
- hep-th/9507010
•
DOI:
- 10.1016/0550-3213(95)00464-4

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

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

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

Universal properties of selfavoiding walks from two-dimensional field theory

John L. Cardy
(
- UC, Santa Barbara
)
,
G. Mussardo
(
- SISSA, Trieste and
- INFN, Trieste
)

- Nucl.Phys.B 410 (1993) 451-493
•
e-Print:
- hep-th/9306028
•
DOI:
- 10.1016/0550-3213(93)90525-T

Two point correlation function in integrable QFT with anticrossing symmetry

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

- Phys.Lett.B 324 (1994) 40-44
•
e-Print:
- hep-th/9310130
•
DOI:
- 10.1016/0370-2693(94)00109-X

Correlation functions along a massless flow

G. Delfino
(
- SiSSA, Trieste and
- INFN, Trieste
)
,
G. Mussardo
(
- SiSSA, Trieste and
- INFN, Trieste
)
,
P. Simonetti
(
- SiSSA, Trieste and
- INFN, Trieste
)

- Phys.Rev.D 51 (1995) 6620-6624
•
e-Print:
- hep-th/9410117
•
DOI:
- 10.1103/PhysRevD.51.R6620

Form-factors and correlation functions of the stress - energy tensor in massive deformation of the minimal models E(n)(1) x E(n)(1) / E(n)(2)

C. Acerbi
(
- SISSA, Trieste and
- INFN, Trieste
)
,
G. Mussardo
(
- SISSA, Trieste and
- INFN, Trieste and
- ICTP, Trieste
)
,
A. Valleriani
(
- SISSA, Trieste and
- INFN, Trieste
)

- Int.J.Mod.Phys.A 11 (1996) 5327-5364
•
e-Print:
- hep-th/9601113
•
DOI:
- 10.1142/S0217751X96002443

Form-factors approach to current correlations in one-dimensional systems with impurities

F. Lesage
(
- Southern California U.
)
,
H. Saleur
(
- Southern California U.
)
,
S. Skorik
(
- Southern California U.
)

- Nucl.Phys.B 474 (1996) 602-640
•
e-Print:
- cond-mat/9603043
•
DOI:
- 10.1016/0550-3213(96)00234-9

The Critical 2- $d$ Ising Model in a Magnetic Field: A Monte Carlo Study Using a Swendsen-wang Algorithm

P.G. Lauwers
(
- Julich, NIC
)
,
V. Rittenberg
(
- Bonn U.
)

- Phys.Lett.B 233 (1989) 197-200
•
DOI:
- 10.1016/0370-2693(89)90641-2

Swendsen-Wang Monte Carlo study of the Ising model with external field

C. Destri
(
- Parma U. and
- INFN, Parma
)
,
F. Di Renzo
(
- Parma U. and
- INFN, Parma
)
,
E. Onofri
(
- Parma U. and
- INFN, Parma
)
,
P. Rossi
(
- Thinking Machines, Cambridge and
- Parma U.
)
,
G.P. Tecchiolli
(
- INFN, Trento
)

- Phys.Lett.B 278 (1992) 311-316
•
DOI:
- 10.1016/0370-2693(92)90199-E

Form-factors of Descendent Operators in Perturbed Conformal Field Theories

John L. Cardy
(
- UC, Santa Barbara
)
,
G. Mussardo
(
- UC, Santa Barbara
)

- Nucl.Phys.B 340 (1990) 387-402
•
DOI:
- 10.1016/0550-3213(90)90452-J

Reductions of the sine-Gordon model as a perturbation of minimal models of conformal field theory

F.A. Smirnov
(
- Steklov Math. Inst., St. Petersburg
)

- Nucl.Phys.B 337 (1990) 156-180
•
DOI:
- 10.1016/0550-3213(90)90255-C

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

Stress - energy tensor and ultraviolet behavior in massive integrable quantum field theories

G. Mussardo
(
- SISSA, Trieste
)
,
P. Simonetti
(
- SISSA, Trieste
)

- Int.J.Mod.Phys.A 9 (1994) 3307-3338
•
e-Print:
- hep-th/9308057
•
DOI:
- 10.1142/S0217751X94001308

Form-factor bootstrap and the operator content of perturbed minimal models

A. Koubek
(
- Cambridge U.
)

- Nucl.Phys.B 428 (1994) 655-680
•
e-Print:
- hep-th/9405014
•
DOI:
- 10.1016/0550-3213(94)90368-9

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

The Exact relations between the coupling constants and the masses of particles for the integrable perturbed conformal field theories

V.A. Fateev
(
- Paris U., VI-VII
)

- Phys.Lett.B 324 (1994) 45-51
•
DOI:
- 10.1016/0370-2693(94)00078-6

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