We study finite energy static solutions to a global symmetry breaking model in 3 + 1 dimensions described by an isovector scalar field. The basic features of two different types of configurations are discussed, one of them corresponding to axially symmetric multisolitons with topological charge n, and the other one to unstable soliton–antisoliton pairs with zero topological charge.

An effective one-loop action built from the soliton field itself for the two-dimensional (2D) problem of soliton pair creation is proposed. The action consists of the usual mass term and a kinetic term in which the simple derivative of the soliton field is replaced by a covariant derivative. In this effective action the soliton charge is treated no longer as a topological charge but as a Noethe...

In this diploma work we discuss a soliton in the context of quantum field theory. The model considered is the O(3) nonlinear σ-model in 3 dimensions with a symmetry breaking mass term. The stability properties of the circularly symmetric “hedgehog” soliton with topological number 1 is analyzed both classically and quantum mechanically. As far as classical field mechanics is concerned, a numeric...

We study finite energy topologically stable static solutions to a global symmetry breaking model in 3 + 1 dimensions described by an isovector scalar field. The basic features of two different types of configurations are studied, corresponding to axially symmetric multisolitons with topological charge n, and unstable soliton–antisoliton pairs with zero topological charge.

Based on the background field method, we derive a novel reformulation of the Yang-Mills theory which was proposed recently by the author to derive quark confinement in QCD. This reformulation identifies the Yang-Mills theory with a deformation of a topological quantum field theory. The relevant background is given by the topologically non-trivial field configuration, especially, the topological...

We implement the inverse scattering method in the case of the An affine Toda field theories, by studying the space-time evolution of simple poles in the underlying loop group. We find the known single and multi-soliton solutions, as well as additional solutions with nonlinear modes of oscillation around the standard solution, by studying the particularly simple case where the residue at the pol...

We construct exact soliton solutions to the Chern-Simons-Higgs system in noncommutative space, for non-relativistic and relativistic models. In both cases we find regular vortex-like solutions to the BPS equations which approach the ordinary selfdual non-topological and topological solitons when he noncommutative parameter θ goes to zero. Associated with CONICET Associated with CICBA

Solutions of physical equations which have non-trivial topological properties have been studied for already more than five years. As examples we may give the "monopole""2 and the ' ' in~tanton'~ in gauge field theories and the "pseudoparticle" in a two-dimensional isotropic f e r r ~ m a g n e t . ~ All these solutions a re characterized by some topological index: the magnetic charge of the mon...

We construct an energy function that describes the crystallographic structure of sperm whale myoglobin backbone. As a model in our construction, we use the Protein Data Bank entry 1ABS that has been measured at liquid helium temperature. Consequently, the thermal B-factor fluctuations are very small, which is an advantage in our construction. The energy function that we utilize resembles that o...