Rovibrational transitions in H₂⁺ offer O(m_p/m_e) enhanced sensitivity to spin-independent Lorentz/CPT violation in the proton sector relative to atomic 1S-2S transitions.
Fermions with Lorentz-violating operators of arbitrary dimension
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abstract
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.
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Crystal point groups parametrize SME Lorentz-violating coefficients in electromagnetic media, turning birefringent and multiferroic crystals into analogs for high-energy symmetry violations.
Derivation of rovibrational energy levels for H2+ and anti-H2- in the non-minimal SME, including quantum number dependence and sidereal/annual variations for Lorentz/CPT tests.
Extends effective QFT treatment of Lorentz and CPT violation to the hyperfine-Zeeman spectrum of H2+ and anti-H2- ions, demonstrating extraction of constraints on spin-dependent couplings from rovibrational transitions under magnetic field.
citing papers explorer
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Lorentz and CPT violation and the hydrogen and antihydrogen molecular ions I -- rovibrational states
Rovibrational transitions in H₂⁺ offer O(m_p/m_e) enhanced sensitivity to spin-independent Lorentz/CPT violation in the proton sector relative to atomic 1S-2S transitions.
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Crystallography, Lorentz violation, and the Standard-Model Extension
Crystal point groups parametrize SME Lorentz-violating coefficients in electromagnetic media, turning birefringent and multiferroic crystals into analogs for high-energy symmetry violations.
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Lorentz and CPT violation and the hydrogen and antihydrogen molecular ions III -- rovibrational spectrum and the non-minimal SME
Derivation of rovibrational energy levels for H2+ and anti-H2- in the non-minimal SME, including quantum number dependence and sidereal/annual variations for Lorentz/CPT tests.
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Lorentz and CPT violation and the hydrogen and antihydrogen molecular ions II -- hyperfine-Zeeman spectrum
Extends effective QFT treatment of Lorentz and CPT violation to the hyperfine-Zeeman spectrum of H2+ and anti-H2- ions, demonstrating extraction of constraints on spin-dependent couplings from rovibrational transitions under magnetic field.