Classical Lagrangians for Momentum Dependent Lorentz Violation

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.

14 pages

References in corpus (10)

• Very Special Relativity
• Fermions with Lorentz-violating operators of arbitrary dimension
• Riemann-Finsler geometry and Lorentz-violating kinematics
• Lorentz-violating electrodynamics and the cosmic microwave background
• Classical kinematics for Lorentz violation
• One-Loop Renormalization of Pure Yang-Mills with Lorentz Violation
• One-Loop Renormalization of the Electroweak Sector with Lorentz Violation
• One-Loop Renormalization of QCD with Lorentz Violation
• Consequences of Neutrino Lorentz Violation For Leptonic Meson Decays
• Symmetry, causal structure and superluminality in Finsler spacetime

Cited by in corpus (38)

• Fermions with Lorentz-violating operators of arbitrary dimension
• What Do We Know About Lorentz Invariance?
• Constraints on Lorentz violation from gravitational Cherenkov radiation
• Bipartite Riemann-Finsler geometry and Lorentz violation
• Lorentz and CPT tests with hydrogen, antihydrogen, and related systems
• Lorentz-violating spinor electrodynamics and Penning traps
• Laboratory tests of Lorentz and CPT symmetry with muons
• Classical-physics applications for Finsler $b$ space
• Finsler-like structures from Lorentz-breaking classical particles
• Lorentz violation in the gravity sector: The t puzzle
• Classical Lagrangians and Finsler structures for the nonminimal fermion sector of the Standard-Model Extension
• Lorentz and CPT Tests with Clock-Comparison Experiments
• Classical kinematics and Finsler structures for nonminimal Lorentz-violating fermions
• Lorentz and CPT Violation in Top-Quark Production and Decay
• Eikonal approximation, Finsler structures, and implications for Lorentz-violating photons in weak gravitational fields
• Hamiltonian formulation of an effective modified gravity with nondynamical background fields
• Classical kinematics for isotropic, minimal Lorentz-violating fermion operators
• On Finsler spacetimes with a timelike Killing vector field
• Extended Hamiltonian Formalism and Lorentz-Violating Lagrangians
• Lorentz-violating modification of Dirac theory based on spin-nondegenerate operators
• Lorentz violation in a uniform newtonian gravitational field
• Lorentz and CPT tests with charge-to-mass ratio comparisons in Penning traps
• Fermion observables for Lorentz violation
• First-order classical Lagrangians for the nonminimal Standard-Model Extension
• Lorentz Violation in the Higgs Sector and Noncommutative Standard Model
• Classical Lagrangians for the nonminimal Standard-Model Extension at higher orders in Lorentz violation
• Bipartite-Finsler symmetries
• From classical Lagrangians to Hamilton operators in the Standard-Model Extension
• A field theory in Randers-Finsler spacetime
• Fermionic Lorentz violation and its implications for interferometric gravitational-wave detection
• Charged lepton electric dipole moment enhancement in the Lorentz violated extension of the standard model
• Classical Lagrangians for the nonminimal spin-nondegenerate Standard-Model Extension at higher orders in Lorentz violation
• Spontaneous and Explicit Spacetime Symmetry Breaking in Einstein-Cartan Theory with Background Fields
• Hidden Symmetries in Deformed Very Special Relativity
• Single-Particle Quantum Mechanics of the Free Klein-Gordon Equation with Lorentz Violation
• Fixed energy solutions to the Euler-Lagrange equations of an indefinite Lagrangian with affine Noether charge
• Generation of new symmetries from explicit symmetry breaking
• Finslerian geometrodynamics