Zobrazeno 1 - 10
of 94
pro vyhledávání: '"Luchini, G."'
Autor:
Luchini, G., Zaché, V. B.
We show that the laws of electromagnetism in $(D+1)$-dimensional Minkowski space-time $\mathcal{M}$, explicitly for $D=1$, $2$ and $3$, can be obtained from an integral representation of the zero-curvature equation in the corresponding loop space $\m
Externí odkaz:
http://arxiv.org/abs/2203.15682
Autor:
Luchini, G., Tassis, T.
We discuss two models in $1+1$ dimensional space-time for real scalar field multiplets on the root space of $\mathfrak{g}_2$ and $\mathfrak{su}(4)$ Lie algebras. The construction of these models is presented and the corresponding BPS solutions are fo
Externí odkaz:
http://arxiv.org/abs/1909.04467
Publikováno v:
Phys. Rev. D 96, 105024 (2017)
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 (complex) parameters which do not appear in the differential Yang-Mills equa
Externí odkaz:
http://arxiv.org/abs/1710.03359
Publikováno v:
J. Phys. A: Math. Theor. 52 (2019) 155202
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 for the Yang-Mills theory. That result is corroborated by the analysis
Externí odkaz:
http://arxiv.org/abs/1611.07041
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-Mills-Higgs theory associated to any compact semi-simple gauge group G. T
Externí odkaz:
http://arxiv.org/abs/1508.03049
Collective coordinate approximation to the scattering of solitons in the (1+1) dimensional NLS model
Publikováno v:
Journal of Physics A: Mathematical and Theoretical, v. 47, n. 26, 2014
We present a collective coordinate approximation to model the dynamics of two interacting nonlinear Schr\"odinger (NLS) solitons. We discuss the accuracy of this approximation by comparing our results to those of the full numerical simulations and fi
Externí odkaz:
http://arxiv.org/abs/1308.4072
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 configurations. Here we discuss our attempt to define a "quasi-integra
Externí odkaz:
http://arxiv.org/abs/1307.7722
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 number of quasi-conserved charges which present intriguing properties i
Externí odkaz:
http://arxiv.org/abs/1206.5808
Autor:
Ferreira, L. A., Luchini, G.
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 paper is threefold. First, we present the integral form of the classical
Externí odkaz:
http://arxiv.org/abs/1205.2088
Autor:
Ferreira, L. A., Luchini, G.
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 laws. The approach is based on generalized non-abelian Stokes theorems
Externí odkaz:
http://arxiv.org/abs/1109.2606