https://doi.org/10.1051/epjconf/201612501010
Euler-Lagrange equations for high energy actions in QCD and in gravity*
1 St. Petersburg State University
2 Petersburg Nuclear Physics Institute
** e-mail: lipatov@thd.pnpi.spb.ru
Published online: 28 October 2016
The high energy scattering in QCD and gravity can be described in terms of reggeized gluons and gravitons, respectively. At N = 4 SUSY the BFKL Pomeron is dual to the reggeized graviton living in the 10-dimensional anti-de-Sitter space. We discuss the corresponding effective actions for reggeized gluon and graviton interactions. The Euler-Lagrange equations for these effective theories are constructed with a variational approach and by using an invariance under the gauge and general coordinate transformations. We discuss their solutions and applications to the calculation of effective Reggeon vertices and trajectories.
© The Authors, published by EDP Sciences, 2016
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