162793 20251017144637.0 doi 10.1016/j.aop.2025.170195 sideral 145273 ART-2025-145273 eng Asorey, Manuel Universidad de Zaragoza (orcid)0000-0003-3669-6241 New vacuum boundary effects of massive field theories 2025 Access copy available to the general public Unrestricted Analytical arguments suggest that the Casimir energy in 2+1 dimensions for gauge theories decays exponentially with the distance between the boundaries. The phenomenon has also been observed by non-perturbative numerical simulations. The dependence of this exponential decay on the different boundary conditions could help into a better understanding of the infrared behavior of these theories and in particular their mass spectrum. A similar phenomenon is expected to hold in 3+1 dimensions. Motivated by this feature we analyze the dependence of the exponential decay of Casimir energy for different boundary conditions of massive scalar fields in 3+1 dimensional spacetimes. We show that boundary conditions can be classified in two different families according to the rate of exponential decay of the Casimir energy. If the boundary conditions on each boundary are independent (e.g. both boundaries satisfy Dirichlet boundary conditions), the Casimir energy is exponentially decaying two times faster than when the boundary conditions interconnect the two boundary plates (e.g. for periodic or antiperiodic boundary conditions). These results will be useful for a comparison with the Casimir energy in the non-perturbative regime of non-Abelian gauge theories. info:eu-repo/grantAgreement/ES/DGA-FSE/E21-17R info:eu-repo/grantAgreement/ES/MICINN/PGC2022-126078NB-C21 info:eu-repo/semantics/openAccess by https://creativecommons.org/licenses/by/4.0/deed.es info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Ezquerro, Fernando Universidad de Zaragoza Pardina, Miguel Universidad de Zaragoza 2004 X Universidad de Zaragoza Dpto. Física Teórica Área Administrativa 2004 405 Universidad de Zaragoza Dpto. Física Teórica Área Física Teórica 481 (2025), 170195 [11 pp.] Ann. phys. ANNALS OF PHYSICS 0003-4916 813602 http://zaguan.unizar.es/record/162793/files/texto_completo.pdf Versión publicada 1959352 http://zaguan.unizar.es/record/162793/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:162793 articulos driver 2025-10-17-14:30:00 ARTICLE