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 [32–35], 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 [39, 40], BFKL [24–26] 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.
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Banks, T., Festuccia, G. The Regge limit for Green functions in conformal field theory. J. High Energ. Phys. 2010, 105 (2010). https://doi.org/10.1007/JHEP06(2010)105
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DOI: https://doi.org/10.1007/JHEP06(2010)105