Effective action for the Regge processes in gravity

Abstract

It is shown, that the effective action for the reggeized graviton interactions can be formulated in terms of the reggeon fields $A^{++}$ and $A^{--}$ and the metric tensor $g_{\mu \nu }$ in such a way, that it is local in the rapidity space and has the property of general covariance. The corresponding effective currents $j^{-}$ and $j^{+}$ satisfy the Hamilton-Jacobi equation for a massless particle moving in the gravitational field. These currents are calculated explicitly for the shock wave-like fields and a variation principle for them is formulated. As an application, we reproduce the effective lagrangian for the multi-regge processes in gravity together with the graviton Regge trajectory in the leading logarithmic approximation with taking into account supersymmetric contributions.

39 pages

References in corpus (5)

• The Pomeron and Gauge/String Duality
• BFKL Pomeron, Reggeized gluons and Bern-Dixon-Smirnov amplitudes
• N=4 supersymmetric Yang Mills scattering amplitudes at high energies: the Regge cut contribution
• Towards an S-matrix Description of Gravitational Collapse
• Integrability of scattering amplitudes in N=4 SUSY

Cited by in corpus (12)

• Color-Kinematics Duality in Multi-Regge Kinematics and Dimensional Reduction
• Color-Kinematics Duality and the Regge Limit of Inelastic Amplitudes
• Pomeron in the N=4 supersymmetric gauge model at strong couplings
• Four dimensional ambitwistor strings and form factors of local and Wilson line operators
• Challenges of D=6 N=(1,1) SYM Theory
• Grassmannian Integral for General Gauge Invariant Off-shell Amplitudes in N=4 SYM
• CPTM symmetry, closed time paths and cosmological constant problem in the formalism of extended manifold
• High energy scattering in Einstein-Cartan gravity
• Ambitwistor strings and reggeon amplitudes in N=4 SYM
• An effective field theory approach for electroweak interactions in the high energy limit
• Gravitational Scattering in the High-Energy Limit
• Pomeron in the N=4 SYM at strong couplings