Gauge theories on Snyder spacetime
This thesis deals with the construction of a generalization of a non-commutative and non-associative Gauge theory based on Hopf Algebroid structure of Snyder Spacetime. The theory is built through a generalization of the Bootstrap mechanism of non-commutative Gauge Theories through the L-infinity Al...
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| Tipo de recurso: | tesis de maestría |
| Estado: | Versión publicada |
| Fecha de publicación: | 2021 |
| País: | Chile |
| OAI Identifier: | oai:repositorio.anid.cl:10533/249938 |
| Acceso en línea: | https://hdl.handle.net/10533/249938 |
| Access Level: | acceso abierto |
| Palabra clave: | Ciencias Naturales Ciencias Físicas Otras Especialidades de la Física |
| Sumario: | This thesis deals with the construction of a generalization of a non-commutative and non-associative Gauge theory based on Hopf Algebroid structure of Snyder Spacetime. The theory is built through a generalization of the Bootstrap mechanism of non-commutative Gauge Theories through the L-infinity Algebra structure . In order to accomplish this, we will start studying the Hopf Algebroid structure of Snyder's space-time with the intention of constructing the star product that encodes all the information of non-commutativity and non-associativity of Snyder spacetime in terms of commutative variables. Later we will build a Gauge Theory through the Bootstrap mechanism of non-commutative Gauge Theories considering an generalized non-commutativity parameter. Considering the conjecture of Blumenhagen-Brunner-Kupriyanov-Lüst that every consistent Gauge theory must have an underlying L-infinity structure, we will solve the L-infinity identities with which we will find its principle of Action, equations of Motion and modified Gauge principle under which the theory will be invariant up to order s^1 for a Gauge theory based on the group U(1). Finally we will compare these results with those obtained by alternative methods and we will interpret this new Gauge Theory U(1) with Quantum Gravity corrections based on the space-time of H. Snyder. |
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