A remark on the high--energy quark--quark scattering and the eikonal approximation
arXiv:hep-th/9506043 · doi:10.1103/PhysRevD.53.3835
Abstract
In this paper we calculate the high--energy quark--quark scattering amplitude, first in the case of scalar QCD, using Fradkin's approach to derive the scalar quark propagator in an external gluon field and computing it in the eikonal approximation. (This approach was also recently used by Fabbrichesi, Pettorino, Veneziano and Vilkovisky to study the four--dimensional Planckian--energy scattering in gravity.) We then extend the results to the case of ``real'' ({\it i.e.} fermion) QCD, thus deriving again, in a rather direct way, the results previously found by Nachtmann. The abelian case (QED) is also discussed in the Appendix.
24 pages (no figures), LaTeX--file. New references have been added and commented and some other minor corrections have been performed
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- Analyticity and crossing symmetry of the eikonal amplitudes in gauge theories
- A nonperturbative foundation of the Euclidean-Minkowskian duality of Wilson-loop correlation functions
- Instanton Contribution to the Quark Form Factor
- Instanton effects in quark form factor and quark-quark scattering at high energy
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- Eikonal Approach to N=4 SYM Regge Amplitudes in the AdS/CFT Correspondence
- Wilson-loop formalism for Reggeon exchange at high energy
- Some Aspects of Scattering in (Non) Commutative Gauge Theories
- Infrared finitness and analyticity properties of the loop-loop scattering amplitudes in gauge theories