Exact Foldy-Wouthuysen transformation for a Dirac spinor in torsion and other CPT and Lorentz violating backgrounds

Journal Article · Tue Dec 15 00:00:00 EST 2009 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.80.125034· OSTI ID:21316584

Goncalves, Bruno; Shapiro, Ilya L ^[1]; Obukhov, Yuri N ^[2]

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1. Departamento de Fisica, ICE, Universidade Federal de Juiz de Fora Juiz de Fora, CEP: 36036-330, MG (Brazil)
2. Department of Mathematics and Institute of Origins, University College London, Gower Street, London WC1E 6BT (United Kingdom)

We discuss the possibility to perform and use the exact Foldy-Wouthuysen transformation (EFWT) for the Dirac spinor coupled to different CPT and Lorentz violating terms. The classification of such terms is performed, selecting those of them which admit EFWT. For the particular example of an axial vector field, which can be associated with the completely antisymmetric torsion, we construct an explicit EFWT in the case when only a timelike component of this axial vector is present. In the cases when EFWT is not possible, one can still use the corresponding technique for deriving the perturbative Foldy-Wouthuysen transformation, as is illustrated in a particular example in the Appendix.

• OSTI ID: 21316584
• Journal Information: Physical Review. D, Particles Fields, Vol. 80, Issue 12; Other Information: DOI: 10.1103/PhysRevD.80.125034; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CLASSIFICATION
CP INVARIANCE
FOLDY-WOUTHUYSEN TRANSFORM
LORENTZ INVARIANCE
PERTURBATION THEORY
VECTOR FIELDS