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We present new geometric formulations for the fractional spin particle models on the minimal phase spaces. New consistent couplings of the anyon to background fields are constructed. The relationship between our approach and previously…

High Energy Physics - Theory · Physics 2009-10-30 I. V. Gorbunov , S. M. Kuzenko , S. L. Lyakhovich

We apply on-shell and integrability methods that have been developed in the context of scattering amplitudes in N=4 SYM theory to tree-level form factors of this theory. Focussing on the colour-ordered super form factors of the chiral part…

High Energy Physics - Theory · Physics 2016-02-02 Rouven Frassek , David Meidinger , Dhritiman Nandan , Matthias Wilhelm

We study a new family of models of the sine-Gordon type, starting from the sine-Gordon model, including the double sine-Gordon, the triple one, and so on. The models appears as deformations of the starting model, with the deformation…

High Energy Physics - Theory · Physics 2013-08-13 D. Bazeia , L. Losano , R. Menezes , Roldao da Rocha

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

Recently a perturbative theory has been constructed, starting from the Feynman rules of the nonlinear sigma model at the tree level in the presence of an external vector source coupled to the flat connection and of a scalar source coupled…

High Energy Physics - Theory · Physics 2008-11-26 Daniele Bettinelli , Ruggero Ferrari , Andrea Quadri

In the context of nonparametric regression models with one-sided errors, we consider parametric transformations of the response variable in order to obtain independence between the errors and the covariates. We focus in this paper on…

Statistics Theory · Mathematics 2019-01-31 Natalie Neumeyer , Leonie Selk , Charles Tillier

We study and discuss the extension of the rotating-wave spin$\unicode{x2013}$boson model, together with more general models describing a system$\unicode{x2013}$field coupling with a similar rotating-wave structure, to interactions mediated…

Mathematical Physics · Physics 2023-12-12 Davide Lonigro

A formalism for the relativistic description of hadron decays within the constituent quark model is presented. First, hadron amplitudes of the light--cone constituent quark model, in particular the weak transition form factors at spacelike…

High Energy Physics - Phenomenology · Physics 2009-10-28 D. Melikhov

We construct the restricted sine-Gordon theory by truncating the sine-Gordon multi-soliton Hilbert space for the repulsive coupling constant due to the quantum group symmetry $SL_q(2)$ which we identify from the Korepin's $S$-matrices. We…

High Energy Physics - Theory · Physics 2007-05-23 Changrim Ahn

The one loop quantum corrections to the classical reflection factor of the sinh-Gordon model are calculated partially for general boundary conditions. The model is studied under boundary conditions which are compatible with integrability,…

High Energy Physics - Theory · Physics 2016-12-28 A. Chenaghlou

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

Similarly to the electromagnetic pseudoscalar-meson transition form factors one can define also strange-quark vector current pseudoscalar-meson transition form factors, contributing only to a behaviour of the isoscalar parts of the previous…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. -Z. Dubnickova , S. Dubnicka , G. Pancheri , R. Pekarik

I study the two-dimensional defects of the $d$ dimensional critical $O(N)$ model and the defect RG flows between them. By combining the $\epsilon$-expansion around $d = 4$ and $d = 6$ as well as large $N$ techniques, I find new conformal…

High Energy Physics - Theory · Physics 2023-09-12 Maxime Trépanier

We demonstrate the calculation of the coupling constants and form factors required by effective hadron lagrangians using the quark model. These relations follow from equating expressions for strong transition amplitudes in the two…

Nuclear Theory · Physics 2008-11-26 C. Downum , T. Barnes , J. R. Stone , E. S. Swanson

The off-shell electromagnetic vertex of a (pseudo-) scalar particle contains, in general, two form factors F and G which depend, in addition to the squared momentum transfer, on the invariant masses associated with the initial and final…

High Energy Physics - Phenomenology · Physics 2009-09-25 T. E. Rudy , H. W. Fearing , S. Scherer

The behavior of many critical phenomena at large distances is expected to be invariant under the full conformal group, rather than only isometries and scale transformations. When studying critical phenomena, approximations are often…

Statistical Mechanics · Physics 2025-12-03 Santiago Cabrera , Gonzalo De Polsi , Nicolás Wschebor

Using exact expressions for the Ising form factors, we give a new very simple proof that the spin-spin and disorder-disorder correlation functions are governed by the Painlev\'e III non linear differential equation. We also show that the…

High Energy Physics - Theory · Physics 2008-11-26 Olivier Babelon , Denis Bernard

We propose a generalization of the Grover-Sheng-Vishwanath model which, as solved by the density-matrix renormalization group, realizes the emergent supersymmetric criticality in the universality class of the even series of the…

Strongly Correlated Electrons · Physics 2019-09-02 Chun Chen

In the framework of the free field representation we obtain exact form factors of local operators in the two-dimensional affine Toda theories of the $A^{(1)}_{L-1}$ series. The construction generalizes Lukyanov's well-known construction to…

High Energy Physics - Theory · Physics 2014-11-20 Oleg Alekseev , Michael Lashkevich

In this PhD thesis we extend the twistor formalism to encompass (partially) off-shell quantities. We describe all gauge-invariant local composite operators in twistor space and show that they immediately generate all tree-level form factors…

High Energy Physics - Theory · Physics 2017-12-21 Laura Koster
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