Boundary scattering in the ϕ 4 model

renormalization of the φ 4 model

noncommutative φ 3 model in 4 dimensions

We study the quantization of the noncommutative selfdual φ model in 4 dimensions, by mapping it to a Kontsevich model. The model is shown to be renormalizable, provided one additional counterterm is included compared to the 2-dimensional case [1] which can be interpreted as divergent shift of the field φ. The known results for the Kontsevich model allow to obtain the genus expansion of the free...

Boundary scattering in the principal chiral model

In recent work on the (G×G-invariant) principal chiral model with boundary, we found that both classically integrable boundary conditions and quantum boundary S-matrices were classified by the symmetric spaces G/H. The connection is explained by the presence of a ‘twisted Yangian’ algebra of non-local charges.

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...

The 4 d one component lattice φ 4 model in the broken phase revisited

Measurements of various physical quantities in the symmetry broken phase of the one component lattice φ4 with standard action, are shown to be consistent with the critical behavior obtained by renormalization group analyses. This is in contrast to recent conclusions by another group, who further claim that the unconventional scaling behavior they observe, when extended to the complete Higgs sec...