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A method for solving nonlinear differential equations: An application to λϕ4 model
(2015-01-01)
Recently, it has been great interest in the development of methods for solving nonlinear differential equations directly. Here, it is shown an algorithm based on Padé approximants for solving nonlinear partial differential ...
Disordered λφ4+ρφ6 Landau-Ginzburg model
(2018-03-15)
We discuss a disordered λφ4+ρφ6 Landau-Ginzburg model defined in a d-dimensional space. First we adopt the standard procedure of averaging the disorder-dependent free energy of the model. The dominant contribution to this ...
Spontaneous symmetry breaking in compactified λϕ4 theory
(2002-06-03)
We consider the massive vector N-component (λϕ4)D theory in Euclidean space and, using an extended Matsubara formalism we perform a compactification on a d-dimensional subspace, d⩽D. This allows us to treat jointly the ...
Non-perturbative λΦ4 in D=1+1: an example of the constructive quantum field theory approach in a schematic way
(Springer, 2013-08)
During the '70, several relativistic quantum field theory models in D = 1 + 1 and also in D = 2 + 1 have been constructed in a non-perturbative way. That was done in the so-called constructive quantum field theory approach, ...
Soluções solitônicas por aproximantes de Padé via método iterativo de Taylor
(Universidade Estadual Paulista (Unesp), 2018-09-28)
Certos sistemas físicos podem ser descritos por uma classe de equações não-lineares. Essas equações descrevem pacotes de onda chamado de sólitons que tem aplicações em diversas áreas, por exemplo, Óptica, ...
Classical versus quantum equivalence between sine-Gordon, Liouville and other solitons
(2004-11-01)
In this work we present a mapping between the classical solutions of the sine-Gordon, Liouville, λφ4 and other kinks in 1+1 dimensions. This is done by using an invariant quantity which relates the models. It is easily ...
Classical versus quantum equivalence between sine-Gordon, Liouville and other solitons
(2004-11-01)
In this work we present a mapping between the classical solutions of the sine-Gordon, Liouville, λφ4 and other kinks in 1+1 dimensions. This is done by using an invariant quantity which relates the models. It is easily ...
Scalar quantum field theory in disordered media
(2011-06-21)
A free massive scalar field in inhomogeneous random media is investigated. The coefficients of the Klein-Gordon equation are taken to be random functions of the spatial coordinates. The case of a disordered medium modeled ...