Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-12-29
Phys.Rev.D67:125011,2003; Erratum-ibid.D69:109903,2004
Physics
High Energy Physics
High Energy Physics - Theory
11 pages, 1 table, style revtex, revised version, unitarity section included
Scientific paper
10.1103/PhysRevD.67.125011
Taking as starting point a Lorentz and CPT non-invariant Chern-Simons-like model defined in 1+3 dimensions, we proceed realizing its dimensional reduction to D=1+2. One then obtains a new planar model, composed by the Maxwell-Chern-Simons (MCS) sector, a Klein-Gordon massless scalar field, and a coupling term that mixes the gauge field to the external vector, $v^{\mu}$. In spite of breaking Lorentz invariance in the particle frame, this model may preserve the CPT symmetry for a single particular choice of $v^{\mu}$. Analyzing the dispersion relations, one verifies that the reduced model exhibits stability, but the causality can be jeopardized by some modes. The unitarity of the gauge sector is assured without any restriction, while the scalar sector is unitary only in the space-like case. PACS numbers: 11.10.Kk; 11.30.Cp; 11.30.Er; 12.60.-i
Belich Humberto
Ferreira Manoel M. Jr.
Helayël-Neto Jose A.
Orlando M. T. D.
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