Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-05-31
Mod.Phys.Lett.A21:2861-2872,2006
Physics
High Energy Physics
High Energy Physics - Theory
Updated with a corrected sign error, longer discussion of fractal dimension, and more references
Scientific paper
10.1142/S0217732306022316
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.
Gulzari S.
Swain Jitendriya
Widom Allan
No associations
LandOfFree
Asymptotic Infrared Fractal Structure of the Propagator for a Charged Fermion does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Asymptotic Infrared Fractal Structure of the Propagator for a Charged Fermion, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Asymptotic Infrared Fractal Structure of the Propagator for a Charged Fermion will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-729394