Gribov copies in spaces with non-trivial topologies.
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Date
2013
Journal Title
Journal ISSN
Volume Title
Publisher
Universidad de Concepción
Abstract
In this thesis the arising of Gribov copies both in Landau and Coulomb gauges in regions with
non-trivial topologies and
at metric, such as S1 D2 or R T3 and T3, will be analyzed.
Using a novel generalization of the "hedgehog ansatz" beyond spherical symmetry, analytic
examples of Gribov copies of the vacuum will be constructed. Using such ansatz, we will also
construct the elliptic Gribov pendulum. The requirement of absence of Gribov copies of the
vacuum satisfying the strong boundary conditions implies geometrical constraints on the shapes
and sizes of the regions with non-trivial topologies.
Description
Tesis presentada para optar al grado de Magíster en Ciencias con mención en Física.
Keywords
Grupos de Lie, Teoría de Yang, Mills, Campos de Gauge (Física).