Silva, Agustín (2021) Teoría de campos en variedades con singularidades y dependencia temporal: efectos de borde y creación de pares / Field theory in manifolds with singularities and temporal dependence: boundary and pair creation effects. Maestría en Ciencias Físicas, Universidad Nacional de Cuyo, Instituto Balseiro.
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Resumen en español
En este trabajo de Tesis de Maestría, realizamos cálculos de efectos de borde en teorías de campos en presencia de paredes perfectas e imperfectas. Comparamos los resultados de calcular Energías de Casimir en presencia de este tipo de paredes, obteniendo que las paredes imperfectas generalizan a las paredes perfectas. También, estudiamos la posible dependencia de la Anomalía Quiral ante la introducción de paredes, tanto perfectas como imperfectas. Concluimos que la misma es independiente en ambos casos. Además, se obtuvieron resultados para observables, como el tensor de polarización de vacío, valores de expectación de corrientes de gauge y el propagador de Dirac en 1 + 1 dimensiones. Estos resultados para el propagador se generalizaron a paredes curvas en d + 1 dimensiones, utilizando un desarrollo en derivadas de la variedad que define la pared. Mas aun, estudiamos los efectos de introducir este tipo de paredes en la bosonización de un modelo de Schwinger modificado, obteniendo resultados compatibles con un modelo de Sine-Gordon modificado. Por ultimo, estudiamos las amplitudes de probabilidad de creación de pares en teorías de campos definidas en el interior de paredes (variedades) con dependencia temporal, un proceso que produce efectos disipativos inerciales. Comparamos dos métodos para el cálculo de los efectos disipativos inerciales: la expansión habitual de 1-loop de la acción efectiva y la expansión Magnus. Realizamos estos cálculos para un campo escalar acoplado no-minimalmente a la curvatura, tanto en el caso con masa como en el caso sin masa.
Resumen en inglés
In this Master Thesis work, we perform calculations of boundary effects in field theories in the presence of perfect and imperfect walls. We compare the results of calculating Casimir Energies in the presence of this type of walls, obtaining that imperfect walls generalize to perfect walls. Also, we study the possible dependence of the Chiral Anomaly on the introduction of walls, both perfect and imperfect. We conclude that it is independent in both cases. In addition, results were obtained for observables, such as the vacuum polarization tensor, expectation values of gauge currents, and the Dirac propagator in 1+1 dimensions. These results for the propagator were generalized to curved walls in d+1 dimensions, using a derivative expansion of the manifold that defines the wall. Furthermore, we study the effects of introducing this type of walls in the bosonization of a modified Schwinger model, obtaining results compatible with a modified Sine-Gordon model. Finally, we study the probability amplitudes of pair creation in field theories defined inside walls (manifolds) with time dependence, a process that produces inertial dissipative effects. We compare two methods for calculating inertial dissipative effects: the usual 1-loop expansion of the effective action and the Magnus expansion. We perform these calculations for a scalar field non-minimally coupled to curvature, both in the case with mass and in the case without mass.
| Tipo de objeto: | Tesis (Maestría en Ciencias Físicas) |
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| Palabras Clave: | Defects; Defectos; Boson expansion; Expansión de boson; Casimir effect; Efecto casimir; [Boundaries; Bordes; Dissipative effects; Efectos disipativos; Pair creation, Creación de pares; Chiral anomaly; Anomalia quiral; Bosonization; Bosonización] |
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| Materias: | Física > Física de altas energías |
| Divisiones: | Investigación y aplicaciones no nucleares > Física > Partículas y campos |
| Código ID: | 1056 |
| Depositado Por: | Tamara Cárcamo |
| Depositado En: | 30 Jun 2022 12:28 |
| Última Modificación: | 30 Jun 2022 12:37 |
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