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dc.contributor Navarro, Vicenç (Navarro Aznar)
dc.creator Sastre Rienitz, Marc
dc.date 2016-03-03T11:35:29Z
dc.date 2016-03-03T11:35:29Z
dc.date 2015-06-30
dc.date.accessioned 2024-12-16T10:22:06Z
dc.date.available 2024-12-16T10:22:06Z
dc.identifier http://hdl.handle.net/2445/96091
dc.identifier.uri http://fima-docencia.ub.edu:8080/xmlui/handle/123456789/13778
dc.description Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2015, Director: Vicenç Navarro Aznar
dc.description Even though the title of this composition you are reading is Gauge fields, this is just one of the many concepts that appear throughout the work. Moreover, despite the fact that this is rather a physical term (the actual mathematical name would be connections on principal G-bundles), the contents in this exposition are mathematical. As a student of both mathematics and physics, I wanted to choose a topic that could be covered in both aspects, a subject which could be interpreted physically but which had a mathematical background. This composition intends to contain the mathematical background to develop the so-called gauge theories used in modern physics such as quantum physics, particularly quantum field theory (QFT), for example quantum electrodynamics (QED) or quantum chromodynamics (QCD). However, as stated, this contains no physical conclusions, but only mathematical, with maybe some references to their physical applications. Thus, the motivation was a combination of my interest on physics (which may explain the outline and selection of topics) but also my fascination for differential geometry and topology.
dc.format 72 p.
dc.format application/pdf
dc.language eng
dc.rights cc-by-nc-nd (c) Marc Sastre Rienitz, 2015
dc.rights http://creativecommons.org/licenses/by-nc-nd/3.0/es
dc.rights info:eu-repo/semantics/openAccess
dc.source Treballs Finals de Grau (TFG) - Matemàtiques
dc.subject Varietats (Matemàtica)
dc.subject Treballs de fi de grau
dc.subject Grups topològics
dc.subject Grups de Lie
dc.subject Àlgebres de Lie
dc.subject Topologia algebraica
dc.subject Manifolds (Mathematics)
dc.subject Bachelor's theses
dc.subject Topological groups
dc.subject Lie groups
dc.subject Lie algebras
dc.subject Algebraic topology
dc.title Gauge fields
dc.type info:eu-repo/semantics/bachelorThesis


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