Hadronic Lorentz Violation in Chiral Perturbation Theory

Abstract

Any possible Lorentz violation in the hadron sector must be tied to Lorentz violation at the underlying quark level. The relationships between the theories at these two levels are studied using chiral perturbation theory. Starting from a two-flavor quark theory that includes dimension-four Lorentz-violation operators, the effective Lagrangians are derived for both pions and nucleons, with novel terms appearing in both sectors. Since the Lorentz violation coefficients for nucleons and pions are all related to a single set of underlying quark coefficients, it is possible to place approximate bounds on pion Lorentz violation using only proton and neutron observations. The resulting bounds on four pion parameters are at the $10^{-23}$ level, representing improvements of ten orders of magnitude.

arXiv comment15 pages

References in corpus (17)

• Lorentz-Violating Extension of the Standard Model
• CPT Violation and the Standard Model
• Data Tables for Lorentz and CPT Violation
• CPT Violation Implies Violation of Lorentz Invariance
• Constraints on Lorentz violation from clock-comparison experiments
• A new test of local Lorentz invariance using ${}^{21}$Ne-Rb-K comagnetometer
• The chiral effective pion-nucleon Lagrangian of order p^4
• Nonrelativistic Quantum Hamiltonian for Lorentz Violation
• Cold Atom Clock Test of Lorentz Invariance in the Matter Sector
• Redefining Spinors in Lorentz-Violating QED
• Astrophysical Limits on Lorentz Violation for All Charged Species
• Enhanced violation of the Lorentz invariance and Einstein's equivalence principle in nuclei and atoms
• Tests of Lorentz and CPT symmetry with hadrons and nuclei
• Lorentz Violation and the Higgs Mechanism
• Nuclear Matrix Elements for Tests of Local Lorentz Invariance Violation
• Astrophysical Limits on Lorentz Violation for Pions
• Cerenkov-Like Emission of Pions by Photons in a Lorentz-Violating Theory

Cited by in corpus (18)

• Gauge field theories with Lorentz-violating operators of arbitrary dimension
• Riemann-Finsler Geometry and Lorentz-Violating Scalar Fields
• Lorentz violation and deep inelastic scattering
• Mirrors and field sources in a Lorentz-violating scalar field theory
• Gluonic Lorentz violation and chiral perturbation theory
• Lorentz violation and the electron-ion collider
• The Lorentz- and CPT-Violating Standard Model Extension in Chiral Perturbation Theory
• Beta-Decay Spectrum and Lorentz Violation
• $C$ and $CP$ violation in effective field theories
• Hadronic Lorentz Violation in Chiral Perturbation Theory Including the Coupling to External Fields
• Lorentz and CPT Violation in Partons
• Quark-sector Lorentz violation in $Z$-boson production
• Lorentz-violating nonminimal coupling contributions in mesonic hydrogen atoms and generation of photon higher-order derivative terms
• A dimension five Lorentz-violating nonminimal coupling for mesons in the KLZ model
• Recent Progress in Lorentz and CPT Violation
• Exact Lorentz-violating $q$-deformed O($N$) universality class
• Dalitz Plot Kinematics for a Lorentz-Violating Three-Body Decay
• Dalitz Plot Kinematics for a Lorentz-Violating Three-Body Decay