Vacuum energy for a scalar field with self-interaction in (1+1) dimensions
High Energy Physics - Theory
2021-02-15 v1
Abstract
We calculate the vacuum (Casimir) energy for a scalar field with self-interaction in (1+1) dimensions non perturbatively, i.e., in all orders of the self-interaction. We consider massive and massless fields in a finite box with Dirichlet boundary conditions and on the whole axis as well. For strong coupling, the vacuum energy is negative indicating some instability.
Keywords
Cite
@article{arxiv.2102.06425,
title = {Vacuum energy for a scalar field with self-interaction in (1+1) dimensions},
author = {M. Bordag},
journal= {arXiv preprint arXiv:2102.06425},
year = {2021}
}
Comments
19 pages