Tests of Lorentz invariance using hydrogen molecules

Abstract

We discuss the consequences of Lorentz violation (as expressed within the Lorentz-violating extension of the standard model) for the hydrogen molecule, which represents a generic model of a molecular binding. Lorentz-violating shifts of electronic, vibrational and rotational energy levels, and of the internuclear distance are calculated. This offers the possibility of obtaining improved bounds on Lorentz invariance by experiments using molecules.

Expanded version containing a detailed discussion of possible experiments. 9 pages revtex, one figure

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• Relativity tests by complementary rotating Michelson-Morley experiments
• Atom interferometry tests of local Lorentz invariance in gravity and electrodynamics
• Lorentz and CPT tests with hydrogen, antihydrogen, and related systems
• Precision Spectroscopy of Polarized Molecules in an Ion Trap
• Limits on isotropic Lorentz violation in QED from collider physics
• Einstein-aether theory, violation of Lorentz invariance, and metric-affine gravity
• Testing Lorentz invariance by use of vacuum and matter filled cavity resonators
• Time-delay and Doppler tests of the Lorentz symmetry of gravity
• Probing Lorentz violation with Doppler-shift experiments
• The Casimir Force in a Lorentz Violating Theory
• Cavity QED in a molecular ion trap
• Diffusion, thermalization and optical pumping of YbF molecules in a cold buffer gas cell
• Non-local on-shell field redefinition for the SME
• Acoustic tests of Lorentz symmetry using quartz oscillators
• Tests of Lorentz Violation in Atomic and Optical Physics
• Precision Spectroscopy of Molecular Hydrogen Ions: Towards Frequency Metrology of Particle Masses
• Laboratory bounds on Lorentz symmetry violation in low energy neutrino physics
• Testing Lorentz- and CPT-invariance with ultracold neutrons
• Traces of Lorentz symmetry breaking in a Hydrogen atom at ground state
• Precision spectroscopy of the molecular ion HD+: control of Zeeman shifts
• Enhancing test precision for local Lorentz symmetry violation with entanglement
• Constraints on violation of Lorentz symmetry with clock-comparison redshift experiments
• Sympathetically cooled molecular ions: from principles to first applications
• The Local Lorentz Symmetry Violation and Einstein Equivalence Principle
• Testing Lorentz symmetry with space-based gravitational-wave detectors
• Tests of Lorentz symmetry using antihydrogen
• Probing Relativity using Space-Based Experiments