Test of CPT and Lorentz Invariance from Muonium Spectroscopy.

Following a suggestion of Kostelecký et al. we have evaluated a test of CPT and Lorentz invariance from the microwave spectrosopy of muonium. Precise measurements have been reported for the transition frequencies v12 and v34 for ground state muonium in a magnetic field H of 1.7 T, both of which involve principally muon spin flip. These frequencies depend on both the hyperfine interaction and Zeeman effect. Hamiltonian terms beyond the standard model which violate CPT and Lorentz invariance would contribute shifts δv12 and δv34. The nonstandard theory indicates that v12 and v34 should oscillate with the earth's sidereal frequency and that δv12 and δv34 would be anticorrelated. We find no time dependence in v12—v34 at the level of 20 Hz, which is used to set an upper limit on the size of CPT and Lorentz violating parameters. [ABSTRACT FROM AUTHOR]