The Regge Limit for Green Functions in Conformal Field Theory
Abstract
We define a Regge limit for off-shell Green functions in quantum field theory, and study it in the particular case of conformal field theories (CFT). Our limit differs from that defined in arXiv:0801.3002, the latter being only a particular corner of the Regge regime. By studying the limit for free CFTs, we are able to reproduce the Low-Nussinov, BFKL approach to the pomeron at weak coupling. The dominance of Feynman graphs where only two high momentum lines are exchanged in the t-channel, follows simply from the free field analysis. We can then define the BFKL kernel in terms of the two point function of a simple light-like bilocal operator. We also include a brief discussion of the gravity dual predictions for the Regge limit at strong coupling.
Cite
@article{arxiv.0910.2746,
title = {The Regge Limit for Green Functions in Conformal Field Theory},
author = {Tom Banks and Guido Festuccia},
journal= {arXiv preprint arXiv:0910.2746},
year = {2014}
}
Comments
23 pages 2 figures, v2: Clarification of relation of the Regge limit defined here and previous work in CFT. Clarification of causal orderings in the limit. References added