DOI 10.1007/s100520000294
The quasi-abelian limit
H.M. Fried1 - Y. Gabellini2 - J. Avan3
1 Department of Physics,
Brown University,
Providence, RI 02912, USA
2 Institut Non Linéaire de Nice,
1361 Route des Lucioles,
06560 Valbonne, France
3 LPTHE, Tour 16,
Université Pierre et Marie Curie,
75252 Paris Cedex 05, France
Received: 30 August 1999 /Published online: 17 March 2000 - © Springer-Verlag 2000
Abstract
A new, non perturbative, eikonal method called the ``quasi
abelian limit'' (QAL) is suggested for high energy quark (nucleon) scattering involving the exchange of all possible, non
interacting, non abelian gluons (mesons). With this method, those
functional integrals defining, e.g., the exchange of color
cooordinates in quark-quark scattering, are replaced by a finite
number of quadratures over a subset of their coordinates.
Mathematically, this procedure is not rigourous, because an
unjustified interchange of limits has been performed; physically, it
corresponds to the observation that the non perturbative sum over
all color-moment fluctuations can vanish at arbitrarily high
energies. The QAL generates a result in agreement with a corrected,
``contiguity'' calculation, when the latter is summed over all
perturbative orders.
Copyright Società Italiana di Fisica, Springer-Verlag 2000
