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A free field representation for form-factors of exponential operators in the affine A^{(1)}_{N-1} Toda model is proposed. The one and two particle form-factors are calculated explicitly.

High Energy Physics - Theory · Physics 2016-09-06 S. Lukyanov

Previous results on form factors for the scaling Ising and the sinh-Gordon models are extended to general $Z_{N}$-Ising and affine $A_{N-1}$-Toda quantum field theories. In particular result for order, disorder parameters and para-fermi…

High Energy Physics - Theory · Physics 2015-06-26 H. Babujian , M. Karowski

We apply the method of angular quantization to calculation of the wave function renormali- zation constants in $D_{l}^{(1)}$ affine Toda quantum field theories. A general formula for the wave function renormalization constants in ADE Toda…

High Energy Physics - Theory · Physics 2009-10-31 Vadim A. Brazhnikov

We derive the recursive equations for the form factors of the local hermitian operators in the Bullough-Dodd model. At the self-dual point of the theory, the form factors of the fundamental field of the Bullough-Dodd model are equal to…

High Energy Physics - Theory · Physics 2009-10-22 A. Fring , G. Mussardo , P. Simonetti

We consider two-loop renormalization of high-dimensional Lorentz scalar operators in the gluonic sector of QCD. These operators appear also in the Higgs effective theory obtained by integrating out the top quark loop in the gluon fusion…

High Energy Physics - Phenomenology · Physics 2021-05-05 Qingjun Jin , Ke Ren , Gang Yang

I briefly review the properties of classical affine Toda field theories and indicate how some of this features survive in the quantum theory on-shell. I demonstrate how this knowledge can be extended off-shell, i.e. how to compute…

High Energy Physics - Theory · Physics 2007-05-23 A. Fring

Using Watson's and the recursive equations satisfied by matrix elements of local operators in two-dimensional integrable models, we compute the form factors of the elementary field $\phi(x)$ and the stress-energy tensor $T_{\mu\nu}(x)$ of…

High Energy Physics - Theory · Physics 2009-10-22 A. Fring , G. Mussardo , P. Simonetti

Using the recently introduced boundary form factor bootstrap equations, the form factors of boundary exponential operators in the sinh-Gordon model are constructed. The ultraviolet scaling dimension and the normalization of these operators…

High Energy Physics - Theory · Physics 2009-11-13 G. Takacs

We compute the Form Factors of the relevant scaling operators in a class of integrable models without internal symmetries by exploiting their cluster properties. Their identification is established by computing the corresponding anomalous…

High Energy Physics - Theory · Physics 2008-11-26 C. Acerbi , G. Mussardo , A. Valleriani

We study how to compute the operator product expansion coefficients in the exact renormalization group formalism. After discussing possible strategies, we consider some examples explicitly, within the $\epsilon$-expansions, for the…

High Energy Physics - Theory · Physics 2020-05-20 C. Pagani , H. Sonoda

We propose a free field representation for the form factors of descendant operators in the Bullough-Dodd model. This construction is a particular modification of Lukyanov's technique for solving the form factors axioms. We prove that the…

High Energy Physics - Theory · Physics 2013-01-22 Oleg Alekseev

The general features of baryon form factors calculated with point form kinematics are derived. With point form kinematics and spectator currents hadronic form factors are functions of $\eta:={1\over 4}(v_{out}-v_{in})^2$ and, over a range…

Nuclear Theory · Physics 2015-06-26 F. Coester , D. O. Riska

In this talk I discuss the form factor approach used to compute correlation functions of integrable models in two dimensions. The Sinh-Gordon model is our basic example. Using Watson's and the recursive equations satisfied by matrix…

High Energy Physics - Theory · Physics 2007-05-23 G. Mussardo

The most general solution to the form factor problem in the sinh-Gordon model is presented in an explicit way. The linearly independent classes of solutions correspond to powers of the elementary field. We show how the form factors of…

High Energy Physics - Theory · Physics 2009-10-30 M. Pillin

We propose explicit expressions for the form factors, including their normalization constants, of topologically charged (or soliton-creating) operators in the sine-Gordon model. The normalization constants, which constitute the main content…

High Energy Physics - Theory · Physics 2009-11-07 S. Lukyanov , A. Zamolodchikov

In the framework of the algebraic approach to form factors in two-dimensional integrable models of quantum field theory we consider the reduction of the sine-Gordon model to the $\Phi_{13}$-perturbation of minimal conformal models of the…

High Energy Physics - Theory · Physics 2016-02-19 Michael Lashkevich , Yaroslav Pugai

We calculate normalization factors and reflection amplitudes in the W-invariant conformal quantum field theories. Using these CFT data we derive vacuum expectation values of exponential fields in affine Toda theories and related perturbed…

High Energy Physics - Theory · Physics 2007-05-23 V. A. Fateev

It is shown that the scaling operators in the conformal limit of a two-dimensional field theory have massive form factors which obey a simple factorisation property in rapidity space. This has been used to identify such operators within the…

High Energy Physics - Theory · Physics 2009-10-30 G. Delfino , P. Simonetti , J. L. Cardy

A general and systematic regularization is developed for the exact solitonic form factors of exponential operators in the (1+1)-dimensional sine-Gordon model by analytical continuation of their integral representations. The procedure is…

Mathematical Physics · Physics 2012-09-21 Tamas Palmai

Form factor axioms are derived in two dimensional integrable defect theories for matrix elements of operators localized both in the bulk and on the defect. The form factors of bulk operators are expressed in terms of the bulk form factors…

High Energy Physics - Theory · Physics 2014-11-20 Zoltan Bajnok , Omar el Deeb
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