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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 2011 Volume 169, Number 1, Pages 9–19 (Mi tmf6704)

This article is cited in 3 papers

Effective action for Regge processes in QCD and in gravity

L. N. Lipatov

Konstantinov Petersburg Nuclear Physics Institute, Gatchina, Leningrad Oblast, Russia

Abstract: We consider the Gribov approach to hadron–hadron high-energy scattering, which is based on an effective field theory for the Pomeron interactions. Because the gluons and gravitons in QCD and in gravity are Reggeized, it seems natural to reformulate these theories at high energies in terms of Reggeons. We review the basic ideas of the BFKL approach in QCD and in supersymmetric models and present it in the form of a gauge-invariant effective theory for the Reggeized gluon interactions. We formulate the analogous generally covariant action for the Reggeized gravitons in terms of effective currents satisfying the Hamilton–Jacobi equation.

Keywords: scattering amplitude, Regge asymptotic behavior, BFKL equation, effective field theory, quantum gravity.

Received: 20.10.2011

DOI: 10.4213/tmf6704


 English version:
Theoretical and Mathematical Physics, 2011, 169:1, 1370–1379

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