Higher Gauge Theory on the Lattice

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dc.contributor.authorBOUZID Badreddine
dc.date.accessioned2022-11-13T12:38:48Z
dc.date.available2022-11-13T12:38:48Z
dc.date.issued2019-10-20
dc.description.abstractThe aim of this thesis is two-fold. First, we give a detailed presentation of higher structures involved in the higher gauge theory, this is done progressively by recalling the basic definitions of category theory, then using enrichment and internalization processes to define the higher structures, finally we apply these processes to define the higher analogous of the transition functions for a fiber bundle. Second, we use calculus on the lattice to prove the transition laws for these higher transition functions, results found on the first part of this thesis will be widely used to achieve these calculations.
dc.formatpdf
dc.identifier.urihttps://dspace.univ-oran1.dz/handle/123456789/703
dc.language.isoen
dc.publisherUniversité Oran1 Ahmed Ben Bella
dc.subjectHigher gauge theory
dc.subjectHigher category theory
dc.subject2-connection
dc.subjectLattice
dc.subject2-transition laws
dc.subject2-holonomy
dc.subject2-bundles
dc.subjectEnrichment
dc.subjectInternalization
dc.subject2-group
dc.titleHigher Gauge Theory on the Lattice
dc.typeThesis
grade.ExaminateurABDESSELAM Boucif, Professeur, Université Université de Ain Témouchent
grade.ExaminateurBOUDA Ahmed, Professeur, Université de Bejaia
grade.ExaminateurHAMMOU Bouziane Amine, Professeur, Université des Sciences et Technologies d’Oran
grade.ExaminateurMEZIANE Ahmed, Professeur, Université Oran 1
grade.GradeDoctorat
grade.PrésidentLAGRAA Mohamed, Professeur, Université Oran 1
grade.RapporteurTAHIRI Mohamed, Professeur, Université Oran 1
l'article.1.DateParutionNov 2018
l'article.1.RevueACTA PHYSICA POLONICA B
l'article.1.RéférenceActa Phys. Pol. B 49, 1885 (2018)
l'article.1.Titre2-CONNECTIONS, A LATTICE POINT OF VIEW
la.MentionTrès honorables
la.SpécialitéPHYSIQUE THEORIQUE: THEORIE DES CHAMPS TOPOLOGIQUES ET THEORIES DE JAUGE GENERALES
la.coteTH5118
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Thèses de Doctorat "Physique"