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Auteur principal: Ezquerro, Fernando
Format: Preprint
Publié: 2026
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Accès en ligne:https://arxiv.org/abs/2605.18220
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author Ezquerro, Fernando
author_facet Ezquerro, Fernando
contents In this thesis we analyze the quantum vacuum properties of non-abelian gauge theories. We calculate the energy of the quantum vacuum by non-perturbative methods using Monte Carlo simulations, focusing on the contribution of boundary effects to the Casimir energy. In particular, we analyze the dependence of the vacuum energy on the types of boundary conditions. The main goal is to clarify the behaviour of this energy for large separation L between the boundaries of the domain where the fields are confined. Usually this Casimir energy decreases polynomially with L for massless theories and exponentially for massive theories. Since gauge theories interpolate between these two regimes, being massless in the ultraviolet regime and massive in the infrared regime, one expects a very special change of behaviour from the perturbative to the non-perturbative approaches. In pure gauge theories there is evidence of the existence of glueball states in the low energy spectrum with a non-vanishing mass, the second goal will be testing if the mass of the lightest glueball is responsible for the exponential decay of the Casimir energy of gauge theories.
format Preprint
id arxiv_https___arxiv_org_abs_2605_18220
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Properties of the quantum vacuum in non-abelian gauge theories
Ezquerro, Fernando
High Energy Physics - Theory
In this thesis we analyze the quantum vacuum properties of non-abelian gauge theories. We calculate the energy of the quantum vacuum by non-perturbative methods using Monte Carlo simulations, focusing on the contribution of boundary effects to the Casimir energy. In particular, we analyze the dependence of the vacuum energy on the types of boundary conditions. The main goal is to clarify the behaviour of this energy for large separation L between the boundaries of the domain where the fields are confined. Usually this Casimir energy decreases polynomially with L for massless theories and exponentially for massive theories. Since gauge theories interpolate between these two regimes, being massless in the ultraviolet regime and massive in the infrared regime, one expects a very special change of behaviour from the perturbative to the non-perturbative approaches. In pure gauge theories there is evidence of the existence of glueball states in the low energy spectrum with a non-vanishing mass, the second goal will be testing if the mass of the lightest glueball is responsible for the exponential decay of the Casimir energy of gauge theories.
title Properties of the quantum vacuum in non-abelian gauge theories
topic High Energy Physics - Theory
url https://arxiv.org/abs/2605.18220