Feynman propagator for the nonbirefringent CPT-even electrodynamics of the standard model extension

Rodolfo Casana, Manoel M. Ferreira, Jr., Adalto R. Gomes, and Frederico E. P. dos Santos
Phys. Rev. D 82, 125006 – Published 3 December 2010

Abstract

The CPT-even gauge sector of the standard model extension is composed of 19 components comprised in the tensor (KF)μνρσ, of which nine do not yield birefringence. In this work, we examine the Maxwell electrodynamics supplemented by these nine nonbirefringent CPT-even components in aspects related to the Feynman propagator and full consistency (stability, causality, unitarity). We adopt a prescription that parametrizes the nonbirefringent components in terms of a symmetric and traceless tensor, Kμν, and second parametrization that writes Kμν in terms of two arbitrary four-vectors, Uμ and Vν. We then explicitly evaluate the gauge propagator of this electrodynamics in a tensor closed way. In the sequel, we show that this propagator and involved dispersion relations can be specialized for the parity-odd and parity-even sectors of the tensor (KF)μνρσ. In this way, we reassess some results of the literature and derive some new outcomes showing that the parity-even anisotropic sector engenders a stable, noncausal and unitary electrodynamics.

  • Received 13 October 2010

DOI:https://doi.org/10.1103/PhysRevD.82.125006

© 2010 The American Physical Society

Authors & Affiliations

Rodolfo Casana1, Manoel M. Ferreira, Jr.1, Adalto R. Gomes2, and Frederico E. P. dos Santos1

  • 1Departamento de Física, Universidade Federal do Maranhão (UFMA), Campus Universitário do Bacanga, São Luís–MA, 65085-580, Brazil, USA
  • 2Departamento de Física, Instituto Federal de Educação, Ciência e Tecnologia do Maranhão (IFMA), 65025-001, São Luís, Maranhão, Brazil

See Also

Gauge propagator and physical consistency of the CPT-even part of the standard model extension

Rodolfo Casana, Manoel M. Ferreira, Jr., Adalto R. Gomes, and Paulo R. D. Pinheiro
Phys. Rev. D 80, 125040 (2009)

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Vol. 82, Iss. 12 — 15 December 2010

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