Show simple item record Kostelecký, V.A. en Mewes, M. en 2014-09-08T12:37:47Z en 2014-09-08T12:37:47Z en 2013 en
dc.identifier.citation Kostelecký, V. A., & Mewes, M. (2013). Fermions with lorentz-violating operators of arbitrary dimension. Physical Review D - Particles, Fields, Gravitation and Cosmology, 88(9), 096006. en
dc.description.abstract The theoretical description of fermions in the presence of Lorentz and CPT violation is developed. We classify all Lorentz- and CPT-violating and invariant terms in the quadratic Lagrange density for a Dirac fermion, including operators of arbitrary mass dimension. The exact dispersion relation is obtained in closed and compact form, and projection operators for the spinors are derived. The Pauli Hamiltonians for particles and antiparticles are extracted, and observable combinations of operators are identified. We characterize and enumerate the coefficients for Lorentz violation for any operator mass dimension via a decomposition using spin-weighted spherical harmonics. The restriction of the general theory to various special cases is presented, including isotropic models, the nonrelativistic and ultrarelativistic limits, and the minimal Standard-Model Extension. Expressions are derived in several limits for the fermion dispersion relation, the associated fermion group velocity, and the fermion spin-precession frequency. We connect the analysis to some other formalisms and use the results to extract constraints from astrophysical observations on isotropic ultrarelativistic spherical coefficients for Lorentz violation. en
dc.language.iso en_US en
dc.publisher American Physical Society en
dc.relation.isversionof en
dc.rights © 2013 The American Physical Society en
dc.title Fermions with Lorentz-violating operators of arbitrary dimension en
dc.type Article en

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