Fermions with Lorentz-violating operators of arbitrary dimension

被引：187

作者：

Kostelecky, V. Alan ^{[1
]}

Mewes, Matthew ^{[2
]}

机构：

[1] Indiana Univ, Dept Phys, Bloomington, IN 47405 USA

[2] Swarthmore Coll, Dept Phys, Swarthmore, PA 19081 USA

来源：

PHYSICAL REVIEW D | 2013年 / 88卷 / 09期

关键词：

RIEMANN-FINSLER GEOMETRY; CPT VIOLATION; SPECIAL RELATIVITY; INERTIAL MASS; TESTS; INVARIANCE; ANISOTROPY; SYMMETRY; STRINGS; SEARCH;

D O I：

10.1103/PhysRevD.88.096006

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

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.

引用

页数：30

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