2023-06-04T11:20:22Zhttps://uvadoc.uva.es/oai/requestoai:uvadoc.uva.es:10324/408532021-06-24T07:22:20Zcom_10324_22154com_10324_954com_10324_894col_10324_22155
Field Fluctuations and Casimir Energy of 1D-Fermions
Donaire del Yerro, Manuel Antonio
Muñoz Castañeda, José María
Nieto Calzada, Luis Miguel
Tello Fraile, Marcos
We investigate the self-adjoint extensions of the Dirac operator of a massive one-dimensional
field of mass m confined in a finite filament of length L. We compute the spectrum of vacuum
fluctuations of the Dirac field under the most general dispersionless boundary conditions. We identify
its edge states in the mass gap within a set of values of the boundary parameters, and compute the Casimir energy of the discrete normal modes. Two limit cases are considered, namely, that of light fermions with mL 1, and that of heavy fermions for which mL 1. It is found that both positive and negative energies are obtained for different sets of values of the boundary parameters. As a consequence of our calculation we demonstrate that the sign of the quantum vacuum energy is not
fixed for exchange-symmetric plates (parity-invariant configurations), unlike for electromagnetic and
scalar fields.
2020-05-16T10:44:26Z
2020-05-16T10:44:26Z
2020-05-16T10:44:26Z
2019
info:eu-repo/semantics/article
Symmetry, 2019, vol. 11, n. 5. 14 p.
2073-8994
http://uvadoc.uva.es/handle/10324/40853
10.3390/sym11050643
643
5
Symmetry
11
2073-8994
eng
https://www.mdpi.com/2073-8994/11/5/643
info:eu-repo/semantics/openAccess
© 2019 MDPI
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