DSpace Repository :: Browsing by Author "Salgado Rebolledo, Patricio Antonio"

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Gribov copies in spaces with non-trivial topologies.
(Universidad de Concepción., 2013) Salgado Rebolledo, Patricio Antonio; Canfora Tartaglia, Fabrizio Ernesto
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.
Symplectic structure of constrained systems: gribov ambiguity and classical duals for 3D gravity.
(Universidad de Concepción., 2016) Salgado Rebolledo, Patricio Antonio; Barnich, Glenn; Zanelli, Jorge
The present thesis is divided into two parts. Part I is devoted to the study of Gribov ambiguity in gauge systems and its relation with the appearance of degeneracies in the symplectic structure of the corresponding reduced phase space after gauge fixation. Part II is concerned with classical dual field theories for three-dimensional Einstein gravity and the symplectic structure on coadjoint orbits of the corresponding asymptotic symmetry group.