Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-12-09
Braz.J.Phys.37:286-292,2007
Physics
High Energy Physics
High Energy Physics - Theory
To appear in Brazilian Journal of Physics, special edition for the proceedings of IRQCD, Rio de Janeiro, 5-9 June 2006
Scientific paper
10.1590/S0103-97332007000200021
We show that QED radiative corrections change the propagator of a charged Dirac particle so that it acquires a fractional anomalous exponent connected with the fine structure constant. The result is a nonlocal object which represents a particle with a roughened trajectory whose fractal dimension can be calculated. This represents a significant shift from the traditional Wigner notions of asymptotic states with sharp well-defined masses. Non-abelian long-range fields are more difficult to handle, but we are able to calculate the effects due to Newtonian gravitational corrections. We suggest a new approach to confinement in QCD based on a particle trajectory acquiring a fractal dimension which goes to zero in the infrared as a consequence of self-interaction, representing a particle which, in the infrared limit, cannot propagate.
Gulzari S.
Srivastava Yogendra N.
Swain Jitendriya
Widom Allan
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