Classical Lagrangians for the nonminimal Standard-Model Extension at higher orders in Lorentz violation

Abstract

The current paper is dedicated to determining perturbative expansions for Lagrangians describing classical, relativistic, pointlike particles subject to Lorentz violation parameterized by the nonminimal Standard-Model Extension (SME). An iterative technique recently developed and applied to a Lorentz-violating scalar field theory is now adopted to treat the spin-degenerate SME fermion sector. Lagrangians are obtained at third order in Lorentz violation for the operators ${\hat{a}}_{\mu }$, ${\hat{c}}_{\mu }$, $\hat{e}$, $\hat{f}$, and $\hat{m}$ for arbitrary mass dimension. The results demonstrate the impact of nonzero spin on classical particle propagation. They will be useful for phenomenological studies of modified gravity and could provide useful insights into explicit Lorentz violation in curved spacetimes.

arXiv comment9 pages, prepared for submission to Phys. Lett. B

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Cited by in corpus (14)

• Backgrounds in gravitational effective field theory
• Lorentz violation in Dirac and Weyl semimetals
• 3+1 Formulation of the Standard-Model Extension Gravity Sector
• Hamiltonian formulation of an effective modified gravity with nondynamical background fields
• Searches for beyond-Riemann gravity
• Searching for CPT Violation with Neutral-Meson Oscillations
• Lorentz-violation-induced arrival time delay of astroparticles in Finsler spacetime
• Implications of $\text{SU}(2{)}_L$ gauge invariance for constraints on Lorentz violation
• Classical Lagrangians for the nonminimal spin-nondegenerate Standard-Model Extension at higher orders in Lorentz violation
• Lorentz and CPT Violation in Partons
• Lorentz Violation in Finsler Geometry
• Trajectories of astroparticles in pseudo-Finsler spacetime with the most general modified dispersion
• Meson scattering in a Lorentz-violating scalar QED at finite temperature
• Aspects of the Equivalence Between the $f^{\mu }$ and $c^{\nu \mu }$ Terms in Lorentz-Violating Quantum Field Theory