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Exact quantisation of the relativistic Hopfield model.
- Source :
-
Annals of Physics . Nov2016, Vol. 374, p338-365. 28p. - Publication Year :
- 2016
-
Abstract
- We investigate the quantisation in the Heisenberg representation of a relativistically covariant version of the Hopfield model for dielectric media, which entails the interaction of the quantum electromagnetic field with the matter dipole fields, represented by a mesoscopic polarisation field. A full quantisation of the model is provided in a covariant gauge, with the aim of maintaining explicit relativistic covariance. Breaking of the Lorentz invariance due to the intrinsic presence in the model of a preferred reference frame is also taken into account. Relativistic covariance forces us to deal with the unphysical (scalar and longitudinal) components of the fields, furthermore it introduces, in a more tricky form, the well-known dipole ghost of standard QED in a covariant gauge. In order to correctly dispose of this contribution, we implement a generalised Lautrup trick. Furthermore, causality and the relation of the model with the Wightman axioms are also discussed. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00034916
- Volume :
- 374
- Database :
- Academic Search Index
- Journal :
- Annals of Physics
- Publication Type :
- Academic Journal
- Accession number :
- 119001777
- Full Text :
- https://doi.org/10.1016/j.aop.2016.09.001