Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/184211
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dc.contributor.advisorGarcía López, Ricardo, 1962--
dc.contributor.authorAlerany Solé, Marta-
dc.date.accessioned2022-03-18T09:13:20Z-
dc.date.available2022-03-18T09:13:20Z-
dc.date.issued2021-06-20-
dc.identifier.urihttps://hdl.handle.net/2445/184211-
dc.descriptionTreballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2021, Director: Ricardo García Lópezca
dc.description.abstract[en] In this work, we present a formulation of gauge theories from a mathematical perspective, through bundles and connections on them. We begin by providing the necessary background in differential geometry, covering topics such as Lie groups, Lie algebras, principal bundles and their connection 1 − forms. Then, we examine how classical Yang-Mills theories, a type of gauge theories, can be interpreted using the presented concepts. In particular, we focus on the explanation of the electroweak interaction as a Yang-Mills theory, following the Standard Model of particle physics. Finally, we study some of the problems of this formalism and the way they can be solved via the Higgs mechanism, based on the notion of spontaneous symmetry breaking.ca
dc.format.extent57 p.-
dc.format.mimetypeapplication/pdf-
dc.language.isoengca
dc.rightscc-by-nc-nd (c) Marta Alerany Solé, 2021-
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/*
dc.sourceTreballs Finals de Grau (TFG) - Matemàtiques-
dc.subject.classificationCamps de galga (Física)ca
dc.subject.classificationTreballs de fi de grau-
dc.subject.classificationGeometria diferencialca
dc.subject.classificationFísica de partículesca
dc.subject.classificationMecànicaca
dc.subject.otherGauge fields (Physics)en
dc.subject.otherBachelor's theses-
dc.subject.otherDifferential geometryen
dc.subject.otherParticle physicsen
dc.subject.otherMechanicsen
dc.titleGauge theories and spontaneous symmetry breakingca
dc.typeinfo:eu-repo/semantics/bachelorThesisca
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessca
Appears in Collections:Treballs Finals de Grau (TFG) - Matemàtiques

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