Eikonal approximation in QFT

Question

Does the eikonal approximation for calculating a scattering amplitude in QFT provide the exact result in the limit of $s\rightarrow\infty$ at finite $t=0$ ($s$ and $t$ are the usual Mandelstam variables)?

If so, does it match the answer obtained in the Born approximation in the same limit? See e.g. Eq. (15-16) of http://arxiv.org/abs/hep-ph/0112161 for an explicit expression of the eikonal approximation.

This post imported from StackExchange Physics at 2014-05-04 11:15 (UCT), posted by SE-user TwoBs

Comments

@Qmechanic, I didn't put the link to the wiki page for the eikonal approximation on purpose since there it describes only the non relativistic version in QM whereas I am interested in the QFT version (as originally developed by itzykson, levy and others)

This post imported from StackExchange Physics at 2014-05-04 11:15 (UCT), posted by SE-user TwoBs

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TwoBs: I updated the link accordingly.

This post imported from StackExchange Physics at 2014-05-04 11:15 (UCT), posted by SE-user Qmechanic