- oiuoedit
Research Interests:
Research Interests:
The aim of this contribution is two-fold. We propose a new approach to the search for vortex solutions of a general nonlinear equation that describes not only both optical and Bose-Einstein condensates discrete-symmetry systems but also... more
The aim of this contribution is two-fold. We propose a new approach to the search for vortex solutions of a general nonlinear equation that describes not only both optical and Bose-Einstein condensates discrete-symmetry systems but also more general situations. A general expression for symmetric vortex solutions will be proved by showing that they are angular Bloch modes associated to the
Research Interests:
Research Interests:
Research Interests:
Research Interests:
Research Interests:
Research Interests:
Research Interests:
Research Interests:
Research Interests:
Research Interests:
Research Interests:
Research Interests:
ABSTRACT We study in detail the impact of dynamical quarks on the gluon mass generation mechanism, in the Landau gauge, for the case of a small number of quark families. As in earlier considerations, we assume that the main bulk of the... more
ABSTRACT We study in detail the impact of dynamical quarks on the gluon mass generation mechanism, in the Landau gauge, for the case of a small number of quark families. As in earlier considerations, we assume that the main bulk of the unquenching corrections to the gluon propagator originates from the fully dressed quark-loop diagram. The nonperturbative evaluation of this diagram provides the key relation that expresses the unquenched gluon propagator as a deviation from its quenched counterpart. This relation is subsequently coupled to the integral equation that controls the momentum evolution of the effective gluon mass, which contains a single adjustable parameter; this constitutes a major improvement compared to the analysis presented in Phys. Rev. D86 (2012) 014032, where the behaviour of the gluon propagator in the deep infrared was estimated through numerical extrapolation. The resulting nonlinear system is then treated numerically, yielding unique solutions for the modified gluon mass and the quenched gluon propagator, which fully confirm the picture put forth recently in several continuum and lattice studies. In particular, an infrared finite gluon propagator emerges, whose saturation point is considerably suppressed, due to a corresponding increase in the value of the gluon mass. This characteristic feature becomes more pronounced as the number of active quark families increases, and can be deduced from the infrared structure of the kernel entering in the gluon mass equation.
Research Interests:
Research Interests:
Research Interests:
Research Interests:
Research Interests:
Research Interests:
Research Interests:
Research Interests:
Research Interests:
Research Interests:
Research Interests:
Research Interests:
Research Interests:
Research Interests:
Research Interests:
Research Interests:
We consider the guidance problem, at a given frequency, in a triangular PCF which can have a nonlinear response in silica. That is, we solve the following nonlinear equation: [∇2 + k02(n02(x&vec;) +... more
We consider the guidance problem, at a given frequency, in a triangular PCF which can have a nonlinear response in silica. That is, we solve the following nonlinear equation: [∇2 + k02(n02(x&vec;) + n22(x&vec;)|ϕ|2)]ϕ = β2ϕ where we search for electric field solutions with well-defined constant polarization. The linear refractive index profile function n0(x&vec;) is one in the air-holes and