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- W3105785644 abstract "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 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." @default.
- W3105785644 created "2020-11-23" @default.
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- W3105785644 creator A5044781493 @default.
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- W3105785644 date "2006-12-14" @default.
- W3105785644 modified "2023-09-24" @default.
- W3105785644 title "ASYMPTOTIC INFRARED FRACTAL STRUCTURE OF THE PROPAGATOR FOR A CHARGED FERMION" @default.
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- W3105785644 doi "https://doi.org/10.1142/s0217732306022316" @default.
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