Form factors for integrable lagrangian field theories, the sinh-Gordon model

Fring, Andreas; Mussardo, Giuseppe; Simonetti, P.

doi:10.1016/0550-3213(93)90252-k

Cited by 165 publications

(298 citation statements)

References 37 publications

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“…The form factors in the sinh-Gordon model were studied by many authors [5,26,11,12]. It was shown that they as functions of the rapidities θ j factorize as follows…”

Section: Free Field Construction For Generic αmentioning

confidence: 99%

On form factors and Macdonald polynomials

Lashkevich

Pugai

2013

J. High Energ. Phys.

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We are developing the algebraic construction for form factors of local operators in the sinhGordon theory proposed in [1]. We show that the operators corresponding to the null vectors in this construction are given by the degenerate Macdonald polynomials with rectangular partitions and the parameters t = −q on the unit circle. We obtain an integral representation for the null vectors and discuss its simple applications.

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“…The form factors in the sinh-Gordon model were studied by many authors [5,26,11,12]. It was shown that they as functions of the rapidities θ j factorize as follows…”

Section: Free Field Construction For Generic αmentioning

confidence: 99%

On form factors and Macdonald polynomials

Lashkevich

Pugai

2013

J. High Energ. Phys.

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“…The point B = 1 is known as the self-dual point. Form factors of the sinh-Gordon model were first computed in [31]. The program was thereafter extended to other operators in [32] and more recently in [33].…”

Section: The Sinh-gordon Modelmentioning

confidence: 99%

Form Factors of Branch-Point Twist Fields in Quantum Integrable Models and Entanglement Entropy

2007

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In this paper we compute the leading correction to the bipartite entanglement entropy at large sub-system size, in integrable quantum field theories with diagonal scattering matrices. We find a remarkably universal result, depending only on the particle spectrum of the theory and not on the details of the scattering matrix. We employ the "replica trick" whereby the entropy is obtained as the derivative with respect to n of the trace of the n th power of the reduced density matrix of the sub-system, evaluated at n = 1. The main novelty of our work is the introduction of a particular type of twist fields in quantum field theory that are naturally related to branch points in an n-sheeted Riemann surface. Their two-point function directly gives the scaling limit of the trace of the n th power of the reduced density matrix. Taking advantage of integrability, we use the expansion of this two-point function in terms of form factors of the twist fields, in order to evaluate it at large distances in the two-particle approximation. Although this is a well-known technique, the new geometry of the problem implies a modification of the form factor equations satisfied by standard local fields of integrable quantum field theory. We derive the new form factor equations and provide solutions, which we specialize both to the Ising and sinh-Gordon models.

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“…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%

“…This consists in computing exactly all matrix elements of the quantum fields and then using them to obtain the spectral representations of the correlators. In addition to the rich and interesting mathematical structure presented by the Form Factors themselves (which has been investigated in a series of papers, among which [2][3][4][5][6][7][8][9][10][11][12][13], the resulting spectral series usually show a remarkable convergent behaviour which allows approximation of the correlators (or quantities related to them) within any desired accuracy [11,14,15,16,17,18,19].…”

Section: Introductionmentioning

confidence: 99%

Exact matrix elements in supersymmetric theories

Mussardo

1998

Nuclear Physics B

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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.

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Form factors for integrable lagrangian field theories, the sinh-Gordon model

Cited by 165 publications

References 37 publications

On form factors and Macdonald polynomials

On form factors and Macdonald polynomials

Form Factors of Branch-Point Twist Fields in Quantum Integrable Models and Entanglement Entropy

Exact matrix elements in supersymmetric theories

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