High energy scattering in Einstein-Cartan gravity

Abstract

We consider Riemann-Cartan gravity with minimal Palatini action, which is classically equivalent to Einstein gravity. Following the ideas of L.Lipatov \cite{LipGrav} we propose the effective action for this theory aimed at the description of the high-energy scattering of gravitating particles in the multi - Regge kinematics. For that purpose we add to the Palatini action the new terms responsible for the interaction of gravitational quanta with certain collective excitations that replace exchange by multiple gravitational excitations. We propose the heuristic explanation of its particular form based on an analogy to the reggeon field theory of QCD. We argue that Regge kinematics assumes the appearance of an effective two - dimensional model describing the high - energy scattering similar to that of QCD. Such a model may be formulated in a way leading to our final effective theory, which contains interaction between the ordinary quanta of spin connection and vielbein with their effective counterparts that pretend to the role of the gravitational reggeons.

Latex, 14 pages

References in corpus (22)

• Next-to-eikonal corrections in the CGC: gluon production and spin asymmetries in pA collisions
• On the re-summation of enhanced Pomeron diagrams
• Towards an S-matrix Description of Gravitational Collapse
• Summing Pomeron loops in the dipole approach
• NLO impact factor for inclusive photon$+$dijet production in $e+A$ DIS at small $x$
• On the one-loop calculations with Reggeized quarks
• Solution for the BFKL Pomeron Calculus in zero transverse dimensions
• The Double Copy Structure of Soft Gravitons
• The BFKL Pomeron Calculus in zero transverse dimensions: summation of Pomeron loops and generating functional for the multiparticle production processes
• Enhanced Pomeron diagrams: re-summation of unitarity cuts
• On the equivalence of Reggeon field theory in zero transverse dimensions and reaction-diffusion processes
• QCD Reggeon Field Theory for every day: Pomeron loops included
• A zero-dimensional model for high-energy scattering in QCD
• Solving effective field theory of interacting QCD pomerons in the semi-classical approximation
• On the 'toy model" in the Reggeon field theory
• The Reggeon $\to$ 2 Reggeons $+$ Particle vertex in the Lipatov effective action formalism
• Effective action for reggeized gluons, classical gluon field of relativistic color charge and color glass condensate approach
• One loop light-cone QCD, effective action for reggeized gluons and QCD RFT calculus
• Regge Field Theory in zero transverse dimensions: loops versus "net" diagrams
• CGC formalism with two sources
• Loops in the Reggeon model for hA scattering
• Hadron-nucleus scattering in the local reggeon model with pomeron loops for realistic nuclei

Cited by in corpus (3)

• Unifying approaches: derivation of Balitsky hierarchy from the Lipatov effective action
• Evolution of the early universe in Einstein-Cartan theory
• Kinematic reconstruction of torsion as dark energy in Friedmann cosmology