Scattering of kinks of the sinh-deformed $$\varphi ^4$$ φ 4 model

Travelling kinks in discrete φ 4 models

In recent years, three exceptional discretizations of the φ 4 model have been discovered [S97, BT97, K03] which support translationally invariant kinks, i.e., families of stationary kinks centered at arbitrary points between the lattice sites. We address the question of the persistence of these kinks for nonzero velocity. By computing the Stokes constants in beyond-all-order asymptotic expansio...

High - speed kinks in a generalized discrete φ 4 model

Sergey V. Dmitriev, Avinash Khare, Panayotis G. Kevrekidis, Avadh Saxena and Ljupćo Hadžievski Institute for Metals Superplasticity Problems RAS, 39 Khalturina, Ufa 450001, Russia Institute of Physics, Bhubaneswar, Orissa 751005, India 3 Department of Mathematics and Statistics, University of Massachusetts, Amherst, MA 01003-4515, USA Center for Nonlinear Studies and Theoretical Division, Los A...

N = 4 scattering amplitudes and the deformed

Some time ago the general tree-level scattering amplitudes of N = 4 Super Yang–Mills theory were expressed as certain Graßmannian contour integrals. These remarkable formulas allow to clearly expose the super-conformal, dual super-conformal, and Yangian symmetries of the amplitudes. Using ideas from integrability it was recently shown that the building blocks of the amplitudes permit a natural ...

renormalization of the φ 4 model

Gluon Scattering in Deformed N = 4 Sym *

We consider gluon and gluino scattering amplitudes in large N β-deformed N = 4 SYM with real β. A direct inspection of the planar diagrams shows that the scattering amplitudes to all orders in perturbation theory are the same as in the undeformed N = 4 SYM theory. Using the dual σ-model description, we find the same equality at strong coupling to all orders in the σ-model loop expansion. Finall...