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Asymptotic Infrared Fractal Structure Of The Propagator For A Charged Fermion, S. Gulzari, J. Swain, A. Widom
Asymptotic Infrared Fractal Structure Of The Propagator For A Charged Fermion, S. Gulzari, J. Swain, A. Widom
Allan Widom
It is well known that the long-range nature of the Coulomb interaction makes the definition of asymptotic "in" and "out" states of charged particles problematic in quantum field theory. In particular, the notion of a simple particle pole in the vacuum charged particle propagator is untenable and should be replaced by a more complicated branch cut structure describing an electron interacting with a possibly infinite number of soft photons. Previous work suggests a Dirac propagator raised to a fractional power dependent upon the fine structure constant, however the exponent has not been calculated in a unique gauge invariant manner. It …
Charged Lepton Oscillations And (G-2) Measurements, A. Widom, Y. N. Srivastava
Charged Lepton Oscillations And (G-2) Measurements, A. Widom, Y. N. Srivastava
Allan Widom
Traditional analysis of g = 2(1+κ) experiments for charged leptons use a classical spin vector picture. For muons, we here employ a more exact Dirac quantum four component spinor theory. Survival probabilities (including wave packet effects) are computed. These oscillate with the frequency Ω = (κeB/Mc) as has been assumed in previous muon (g −2) experimental analyses; i.e. muon survival probability oscillations are already at the root of previous succesful (g − 2) measurements. Further oscillations should also be observed if mixed neutrino mass matrices were to enter into the reactions (e.g. π+ → μ+ + νμ) producing muons.