35 citations · 143 across the 16 of their papers we have counts for
16 papers · 1 filter
The Hidden Symmetries of Yang-Mills Theory in (1+1)-dimensions
L. A. Ferreira, G. Luchini, H. Malavazzi
We present an integral formulation of classical Yang-Mills theory coupled to fermionic and scalar matter fields in (1+1)-dimensional Minkowski spacetime. By reformulating the local…
Universal BPS Structure of Scalar Kinks in Static Geometries
G. Luchini, G. B. Sant'Anna, U. Camara da Silva
We present a geometric extension of the Bogomolny-Prasad-Sommerfield (BPS) construction for scalar kinks in (1+1) dimensions embedded in static curved spacetimes. By introducing a…
A zero-curvature representation of electromagnetism and the conservation of electric charge
G. Luchini, V. B. Zaché
We show that the laws of electromagnetism in -dimensional Minkowski space-time , explicitly for , and , can be obtained from an integral representat…
Some novel considerations about the collective coordinates approximation for the scattering of kinks
Carlos F. S. Pereira, Gabriel Luchini, Tadeu Tassis +1
The collective coordinates approximation for the kink/anti-kink scattering in the dimensional model is considered and we discuss how the results found in the current li…
BPS states for scalar field theories based on and algebras
G. Luchini, T. Tassis
We discuss two models in dimensional space-time for real scalar field multiplets on the root space of and Lie algebras. The construction o…
Real scalar field kink(-antikink)s and their perturbation spectra in a closed universe
Betti Hartmann, Gabriel Luchini, Clisthenis P. Constantinidis +1
In this paper we demonstrate that solitons of a simple real scalar field model that are {\it static and linearly stable} do exist when considered in a (3+1)-dimensional, spatially…
A direct test of the integral Yang-Mills equations through SU(2) monopoles
C. P. Constantinidis, L. A. Ferreira, G. Luchini
We use the SU(2) 't Hooft-Polyakov monopole configuration, and its BPS version, to test the integral equations of the Yang-Mills theory. Those integral equations involve two (compl…
A mild source for the Wu-Yang magnetic monopole
C. P. Constantinidis, L. A. Ferreira, G. Luchini
We establish that the Wu-Yang monopole needs the introduction of a magnetic point source at the origin in order for it to be a solution of the differential and integral equations f…
From topological to non-topological solitons: kinks, domain walls and Q-balls in a scalar field model with non-trivial vacuum manifold
Yves Brihaye, Adolfo Cisterna, Betti Hartmann +1
We consider a scalar field model with a self-interaction potential that possesses a discrete vacuum manifold. We point out that this model allows for both topological as well as no…
A remark on the asymptotic form of BPS multi-dyon solutions and their conserved charges
C. P. Constantinidis, L. A. Ferreira, G. Luchini
We evaluate the gauge invariant, dynamically conserved charges, recently obtained from the integral form of the Yang-Mills equations, for the BPS multi-dyon solutions of a Yang-Mil…
Collective coordinate approximation to the scattering of solitons in the (1+1) dimensional NLS model
H. E. Baron, G. Luchini, W. J. Zakrzewski
We present a collective coordinate approximation to model the dynamics of two interacting nonlinear Schrödinger (NLS) solitons. We discuss the accuracy of this approximation by com…
The concept of quasi-integrability
L. A. Ferreira, G. Luchini, Wojtek J. Zakrzewski
We show that certain field theory models, although non-integrable according to the usual definition of integrability, share some of the features of integrable theories for certain…
The concept of quasi-integrability for modified non-linear Schrodinger models
L. A. Ferreira, G. Luchini, Wojtek J. Zakrzewski
We consider modifications of the nonlinear Schrodinger model (NLS) to look at the recently introduced concept of quasi-integrability. We show that such models possess an infinite n…
The integral equations of Yang-Mills and its gauge invariant conserved charges
L. A. Ferreira, G. Luchini
Despite the fact that the integral form of the equations of classical electrodynamics is well known, the same is not true for non-abelian gauge theories. The aim of the present pap…
Gauge and Integrable Theories in Loop Spaces
L. A. Ferreira, G. Luchini
We propose an integral formulation of the equations of motion of a large class of field theories which leads in a quite natural and direct way to the construction of conservation l…
An integral formulation of Yang-Mills on loop space
L. A. Ferreira, G. Luchini
It is proposed an integral formulation of classical Yang-Mills equations in the presence of sources, based on concepts in loop spaces and on a generalization of the non-abelian Sto…