Classical Lagrangians for momentum dependent Lorentz violation

2012/01/18 by Don Colladay, Patrick McDonald · 50 citations
Mathematics · Medicine · Physics and Astronomy · #Advanced Differential Geometry Research #Antisymmetric relation #Classical mechanics #Computer science #Covariant transformation #Economics #Extension (predicate logic) #Lagrangian #Lorentz transformation #Mathematical physics #Momentum (technical analysis) #Neuroblastoma Research and Treatments #Noncommutative and Quantum Gravity Theories #Philosophy #Physics #Simple (philosophy) #Type (biology) #Yield (engineering) #hep-ph #math.DG

paper · pdf · doi:10.1103/physrevd.85.044042

published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 85(4) (American Physical Society) · 14 pages

arxiv created 2012/01/18 · openalex publication_date 2012/02/21 · arxiv updated 2013/05/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Certain momentum-dependent terms in the fermion sector of the Lorentz-violating standard model extension (SME) yield solvable classical Lagrangians of a type not mentioned in the literature. These cases yield new relatively simple examples of Finsler and pseudo-Finsler structures. One of the cases involves antisymmetric d-type terms and yields a new example of a relatively simple covariant Lagrangian.

Citations

• An Introduction to Riemann-Finsler Geometry
• Symmetry, causal structure and superluminality in Finsler spacetime
• Lorentz symmetry violation without violation of relativistic symmetry
• Very Special Relativity
• Fermions with Lorentz-violating operators of arbitrary dimension
• On an Asymmetrical Metric in the Four-Space of General Relativity
• Lorentz-violating extension of the standard model
• Lorentz-Violating Electrodynamics and the Cosmic Microwave Background
• CPTviolation and the standard model
• Data tables for Lorentz andCPTviolation
• Gravity, Lorentz violation, and the standard model

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• Lorentz violation in the gravity sector: Thetpuzzle
• Lorentz and CPT tests with clock-comparison experiments
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• Classical Lagrangians for the nonminimal spin-nondegenerate Standard-Model extension at higher orders in Lorentz violation