Construction of Green's functions from an exact<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi></mml:math>matrix

Berg, Bernd A.; Karowski, M.; Weisz, Peter

doi:10.1103/physrevd.19.2477

Cited by 192 publications

(345 citation statements)

References 6 publications

Supporting

Mentioning

333

Contrasting

Unclassified

Order By: Relevance

“…One may be inclined to solve the coupled monodromy-crossing equations by initially diagonalising the S-matrix [1]. However, this method does not work in this case for a series of reasons, both of mathematical and physical origin.…”

Section: Form Factors Of the Trace Operators Of The Sshg Modelmentioning

confidence: 99%

“…This result can be obtained by computing first the matrix elements of the operators on the asymptotic states (the so-called Form Factors) [1,2] and then inserting them into the the spectral representation of the correlators. For instance, in the case of the two-point correlation function of a generic operator O(z,z) we have…”

Section: Form Factors Of the Trace Operators Of The Sshg Modelmentioning

confidence: 99%

“…The Form-Factor approach has proved to be extremely successful for theories with scalar S-matrix, leading to an explicit solution of models of statistical mechanics interest such as the Ising model [1,6,14], the Yang-Lee model [15] or quantum field theories defined by a lagrangian, like the Sinh-Gordon model [7,9,13]. On the contrary, for theories with a nonscalar S-matrix the functional equations satisfied by the Form Factors are generally quite difficult to tackle and a part from the Sine-Gordon model or theories which can be brought back to it [1, 2, 4], there is presently no mathematical technique available for solving them in their full generality.…”

Section: Form Factors Of the Trace Operators Of The Sshg Modelmentioning

confidence: 99%

“…Perturbation theory often proves to be an inadequate approach to this problem therefore more effective and powerful methods need to be developed. In this respect, one of the most promising methods is the Form Factor approach which is applicable to integrable models [1,2]. This consists in computing exactly all matrix elements of the quantum fields and then using them to obtain the spectral representations of the correlators.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Exact matrix elements in supersymmetric theories

Mussardo

1998

Nuclear Physics B

View full text Add to dashboard Cite

The lowest representatives of the Form Factors relative to the trace operators of N = 1 Super Sinh-Gordon Model are exactly calculated. The novelty of their determination consists in solving a coupled set of unitarity and crossing equations. Analytic continuations of the Form Factors as functions of the coupling constant allows the study of interesting models in a uniform way, among these the latest model of the Roaming Series and the minimal supersymmetric models as investigated by Schoutens. A fermionic version of the c-theorem is also proved and the corresponding sum-rule derived.

show abstract

Section: Form Factors Of the Trace Operators Of The Sshg Modelmentioning

confidence: 99%

Section: Form Factors Of the Trace Operators Of The Sshg Modelmentioning

confidence: 99%

Section: Form Factors Of the Trace Operators Of The Sshg Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Exact matrix elements in supersymmetric theories

Mussardo

1998

Nuclear Physics B

View full text Add to dashboard Cite

show abstract

“…If the correspondence between primary operators and minimal form factor solutions is many times unambiguous, even the identification of primaries can become non-trivial in absence of internal symmetries: the Ising model without [11] and with a magnetic field [12,13,14] provides the simplest illustration of the two situations. It was shown in [12] for unitary theories that the scaling dimension of the operator determines a very restrictive upper bound on the asymptotic behavior of the form 1 factors.…”

Section: Introductionmentioning

confidence: 99%

Matrix elements of the operator in integrable quantum field theory

Delfino

Niccoli

2005

Nuclear Physics B

View full text Add to dashboard Cite

Recently A. Zamolodchikov obtained a series of identities for the expectation values of the composite operator TT constructed from the components of the energy-momentum tensor in two-dimensional quantum field theory. We show that if the theory is integrable the addition of a requirement of factorization at high energies can lead to the exact determination of the generic matrix element of this operator on the asymptotic states. The construction is performed explicitly in the Lee-Yang model.

show abstract

Modular Wedge Localization and the d=1+1 Formfactor Program

Schroer¹

1999

Annals of Physics

193

View full text Add to dashboard Cite

In this paper I continue the study of the new framework of modular localization and its constructive use in the nonperturbative d=1+1 Karowski-Weisz-Smirnov formfactor program. Particular attention is focussed on the existence of semilocal generators of the wedge-localized algebra without vauum polarization (FWG-operators) which are closely related to objects fulfilling the Zamolodchikov-Faddeev algebraic structure. They generate a ``thermal Hilbert space'' and allow to understand the equivalence of the KMS conditions with the so-called cyclicity equation for formfactors which was known to be closely related to crossing symmetry properties. The modular setting gives rise to interesting new ideas on ``free'' d=2+1 anyons and plektons.Comment: the fourth section has been rewritten in order to remove an error and to gain additional clarity. 32 pages, tcilate

show abstract

Construction of Green's functions from an exactSmatrix

Cited by 192 publications

References 6 publications

Exact matrix elements in supersymmetric theories

Exact matrix elements in supersymmetric theories

Matrix elements of the operator in integrable quantum field theory

Modular Wedge Localization and the d=1+1 Formfactor Program

Contact Info

Product

Resources

About