Casimir Force for a Maxwell-Chern-Simons System via Model Transformation

We show that the Hamiltonian for a Maxwell-Chern-Simons (MCS) model can be expressed in a diagonalized equivalent form involving only a massive scalar field variable in a three-dimensional space-time. We use this mapping between the two models, the MCS and a single massive scalar field, to understan...

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Bibliographic Details
Published in:Brazilian journal of physics 2014-12, Vol.44 (6), p.798-804
Main Authors: de Medeiros Neto, J. F., Ozela, Rodrigo F., Correa, R. O., Ramos, Rudnei O.
Format: Article
Language:English
Subjects:
Particles and Fields
Physics
Physics and Astronomy
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Summary:We show that the Hamiltonian for a Maxwell-Chern-Simons (MCS) model can be expressed in a diagonalized equivalent form involving only a massive scalar field variable in a three-dimensional space-time. We use this mapping between the two models, the MCS and a single massive scalar field, to understand the agreement of the Casimir force between parallel lines derived in both models. Since the Casimir force is heavily dependent on the boundary conditions (BC), we show that only certain types of BC can be considered for the two models, within the method of calculation outlined here. We also discuss the behavior of the BC with respect to the gauge symmetry present in the initial model.
ISSN:0103-9733
1678-4448
DOI:10.1007/s13538-014-0240-8