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Considering the model of a scalar massive Fermion, it is shown that by means of deformation techniques it is possible to obtain all integrable quantum field theoretic models on two-dimensional Minkowski space which have factorizing…

Mathematical Physics · Physics 2012-09-12 Sabina Alazzawi

The form factor bootstrap in integrable quantum field theory allows one to capture local fields in terms of infinite sequences of Laurent polynomials called `towers'. For the sine-Gordon model, towers are systematically described by…

Mathematical Physics · Physics 2011-08-09 Michio Jimbo , Tetsuji Miwa , Fedor Smirnov

The structure of integrable field theories in the presence of defects is discussed in terms of boundary functions under the Lagrangian formalism. Explicit examples of bosonic and fermionic theories are considered. In particular, the…

High Energy Physics - Theory · Physics 2008-11-26 J. F. Gomes , L. H. Ymai , A. H. Zimerman

The structure of integrable field theories in the presence of jump defects is discussed in terms of boundary functions under the Lagrangian formalism. Explicit examples of bosonic and fermionic theories are considered. In particular, the…

Exactly Solvable and Integrable Systems · Physics 2008-11-26 J. F. Gomes , L. H. Ymai , A. H. Zimerman

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…

High Energy Physics - Theory · Physics 2009-10-30 G. Delfino , G. Mussardo

We investigate bosonic sectors of supersymmetric field theories. We consider superpotentials described by one and by two real scalar fields, and we show how the equations of motion can be factorized into a family of first order Bogomol'nyi…

High Energy Physics - Theory · Physics 2015-06-25 D. Bazeia , J. Menezes , M. M. Santos

A two-parametric family of integrable models (the SS model) that contains as particular cases several well known integrable quantum field theories is considered. After the quantum group restriction it describes a wide class of integrable…

High Energy Physics - Theory · Physics 2009-11-10 V. A. Fateev , M. Lashkevich

New integral representations for form factors in the two parametric SS model are proposed. Some form factors in the parafermionic sine-Gordon model and in an integrable perturbation of SU(2) coset conformal field theories are…

High Energy Physics - Theory · Physics 2007-05-23 Benedicte Ponsot

Construction of integrable field theories in space with a boundary is extended to fermionic models. We obtain general forms of boundary interactions consistent with integrability of the massive Thirring model and study the duality…

High Energy Physics - Theory · Physics 2014-11-18 Takeo Inami , Hitoshi Konno , Yao-Zhong Zhang

We approach the study of non--integrable models of two--dimensional quantum field theory as perturbations of the integrable ones. By exploiting the knowledge of the exact $S$-matrix and Form Factors of the integrable field theories we…

High Energy Physics - Theory · Physics 2008-11-26 G. Delfino , G. Mussardo , P. Simonetti

Two-dimensional quantum field theories are important in many problems in physics because they contain exact symmetries and are often completely integrable. We demonstrate the power of bosonization in elucidating the structure of a…

General Physics · Physics 2014-07-09 Yuan K. Ha

1+1 dimensional integrable quantum field theories correspond to a sparse subset of quantum field theories where the calculation of physically interesting observables can be brought to explicit, closed and manageable expressions thanks to…

Mathematical Physics · Physics 2023-05-12 Karol K. Kozlowski

We study a model in $d = 2 + 1$ space-time dimensions with two sectors. One of them, which can be considered as the visible sector, contains just a $U(1)$ gauge field which acts as a probe for the other (hidden) sector, given by a second…

High Energy Physics - Theory · Physics 2020-06-24 Alan Rapoport , Fidel A. Schaposnik

The waves of fermions display nonlocality in low energy limit of quantum fields. In this \QTR{it}{ab initio} paper we propose a complex-geometry model that reveals the affection of nonlocality on the interaction between material particles…

Quantum Physics · Physics 2008-11-26 Hai-Jhun Wanng

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

We compare two different methods of computing form factors. One is the well established procedure of solving the form factor consistency equations and the other is to represent the field content as well as the particle creation operators in…

High Energy Physics - Theory · Physics 2011-04-20 O. A. Castro-Alvaredo , A. Fring

Some ideas and remarks are presented concerning a possible Lagrangian approach to the study of internal boundary conditions relating integrable fields at the junction of two domains. The main example given in the article concerns single…

High Energy Physics - Theory · Physics 2009-11-10 P. Bowcock , E. Corrigan , C. Zambon

By viewing the Sine-Gordon and massive Thirring models as perturbed conformal field theories one sees that they are different (the difference being observable, for instance, in finite-volume energy levels). The UV limit of the former (SGM)…

High Energy Physics - Theory · Physics 2009-10-22 Timothy R. Klassen , Ezer Melzer

We study the noncommutative generalization of (euclidean) integrable models in two-dimensions, specifically the sine- and sinh-Gordon and the U(N) principal chiral models. By looking at tree-level amplitudes for the sinh-Gordon model we…

High Energy Physics - Theory · Physics 2015-06-26 I. Cabrera-Carnero , M. Moriconi

We explain how to incorporate the action of local integrals of motion into the fermionic basis for the sine-Gordon model and its UV CFT. The examples up to the level 4 are presented. Numerical computation support the results. Possible…

High Energy Physics - Theory · Physics 2016-11-01 H. Boos , F. Smirnov
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