RT info:eu-repo/semantics/bachelorThesis T1 Aplicaciones de la variable compleja a la teoría cuántica de campos: regularización por funciones zeta y efecto Casimir A1 García Fonseca, Alberto A2 Universidad de Valladolid. Facultad de Ciencias K1 Teoría Cuántica K1 Campos K1 Efecto Casimir AB The aim of this Degree Thesis is to prove the existence of an infinite vaccum energy due toquantum fluctuations and how to get a finite result while applying some boundary conditions.First of all, scalar field will be quantized in order to show it can be seen as a set ofharmonic oscillators, which may all be in ground state, contribuying to a zero-point energythat diverges. In order to get a finite result by units of area, it will be used a classical and azeta regularization for Dirichlet boundary conditions, the ones that Casimir originally used.That gives a discret spectrum that can be computed analitically. In the final part, a zetaregularization will be used for Robin boundary conditions, where it will be necessary to usenumerical methods to get the spectrum. YR 2021 FD 2021 LK https://uvadoc.uva.es/handle/10324/50695 UL https://uvadoc.uva.es/handle/10324/50695 LA spa DS UVaDOC RD 07-ago-2024