Asymptotic Infrared Fractal Structure of the Propagator for a Charged Fermion

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dc.creatorGulzari, S.
dc.creatorSwain, J.
dc.creatorWidom, A.
dc.date2006-05-31
dc.date2006-06-29
dc.date.accessioned2026-07-07T11:43:53Z
dc.date.available2026-07-07T11:43:53Z
dc.descriptionIt 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 has even been suggested that the fractal ``anomalous dimension'' can be removed by a gauge transformation. Here, a gauge invariant non-perturbative calculation will be discussed yielding an unambiguous fractional exponent. The closely analogous case of soft graviton exponents is also briefly explored.
dc.descriptionUpdated with a corrected sign error, longer discussion of fractal dimension, and more references
dc.identifierhttps://arxiv.org/abs/hep-th/0606003
dc.identifierhttp://arxiv.org/abs/hep-th/0606003
dc.identifierMod.Phys.Lett.A21:2861-2872,2006
dc.identifierdoi:10.1142/S0217732306022316
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/201405
dc.subjectHigh Energy Physics - Theory
dc.titleAsymptotic Infrared Fractal Structure of the Propagator for a Charged Fermion
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