RT info:eu-repo/semantics/article
T1 Field Fluctuations and Casimir Energy of 1D-Fermions
A1 Donaire del Yerro, Manuel Antonio
A1 Muñoz Castañeda, José María
A1 Nieto Calzada, Luis Miguel
A1 Tello Fraile, Marcos
K1 Vacuum fluctuations
K1 Fluctuación cuántica
K1 Boundary conditions
K1 Condiciones de frontera
K1 Casimir effect
K1 Efecto Casimir
K1 Dirac field
K1 Campo de Dirac
AB We investigate the self-adjoint extensions of the Dirac operator of a massive one-dimensionalfield of mass m confined in a finite filament of length L. We compute the spectrum of vacuumfluctuations of the Dirac field under the most general dispersionless boundary conditions. We identifyits 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 notfixed for exchange-symmetric plates (parity-invariant configurations), unlike for electromagnetic andscalar fields.
PB MDPI
SN 2073-8994
YR 2019
FD 2019
LK http://uvadoc.uva.es/handle/10324/40853
UL http://uvadoc.uva.es/handle/10324/40853
LA eng
NO Symmetry, 2019, vol. 11, n. 5. 14 p.
NO Producción Científica
DS UVaDOC
RD 22-nov-2024