Non-abelian Eikonals
نویسنده
چکیده
A functional formulation and partial solution is given of the non-abelian eikonal problem associated with the exchange of non-interacting, charged or colored bosons between a pair of fermions, in the large s/small t limit. A simple, functional “contiguity” prescription is devised for extracting those terms which exponentiate, and appear to generate the leading, high-energy behavior of each perturbative order of this simplest non-abelian eikonal function; the lowest non-trivial order agrees with the corresponding SU(N) perturbative amplitude, while higher-order contributions to this eikonal generate an “effective Reggeization” of the exchanged bosons, resembling previous results for the perturbative amplitude. One exact and several approximate examples are given, including an application to self-energy radiative corrections. In particular, for this class of graphs and to all orders in the coupling, we calculate the leadinglog eikonal for SU(2). Based on this result, we conjecture the form of the eikonal scattering amplitude for SU(N). Supported in part by DOE Grant DE-FG02-91ER40688 Task A
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