2015/06/04 by V. Alan Kostelecký, Alan Kostelecky, Arnaldo J. Vargas · 122 citations
Physics and Astronomy · #Antihydrogen #Antimatter #Atomic physics #Black Holes and Theoretical Physics #Deuterium #Ion #Lorentz transformation #Noncommutative and Quantum Gravity Theories #Nuclear physics #Observable #Physics #Positronium #Quantum Mechanics and Applications #Quantum mechanics #Spectroscopy #hep-ph
paper · pdf · doi:10.1103/physrevd.92.056002
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 92(5) (American Physical Society) · 37 pages two-column REVTeX
arxiv created 2015/06/04 · openalex publication_date 2015/09/15 · arxiv updated 2015/09/23 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The potential of precision spectroscopy as a tool in systematic searches for effects of Lorentz and CPT violation is investigated. Systems considered include hydrogen, antihydrogen, deuterium, positronium, and hydrogen molecules and molecular ions. Perturbative shifts in energy levels and key transition frequencies are derived, allowing for Lorentz-violating operators of arbitrary mass dimensions. Observable effects are deduced from various direct measurements, sidereal and annual variations, comparisons among species, and gravitational responses. We use existing data to place new and improved constraints on nonrelativistic coefficients for Lorentz and CPT violation, and we provide estimates for the future attainable reach in direct spectroscopy of the various systems or tests with hydrogen and deuterium masers. The results reveal prospective sensitivities to many coefficients unmeasured to date, along with potential improvements of a billionfold or more over certain existing results.