6533b7d8fe1ef96bd1269ad1

RESEARCH PRODUCT

Chiral theory of nucleons and pions in the presence of an external gravitational field

J. GegeliaJ. GegeliaMaxim V. PolyakovMaxim V. PolyakovDalibor DjukanovicH. Alharazin

subject

Nuclear TheoryHigh Energy Physics::LatticeNuclear TheoryExtrapolationFOS: Physical sciences01 natural sciences530Nuclear Theory (nucl-th)GravitationHigh Energy Physics - Phenomenology (hep-ph)PionHigh Energy Physics - LatticeGravitational fieldLattice (order)0103 physical sciencesddc:530010306 general physicsNuclear ExperimentPhysics010308 nuclear & particles physicsHigh Energy Physics - Lattice (hep-lat)ObservableHigh Energy Physics - PhenomenologyAmplitudeQuantum electrodynamicsNucleon

description

We extend the standard second order effective chiral Lagrangian of pions and nucleons by considering the coupling to an external gravitational field. As an application we calculate one-loop corrections to the one-nucleon matrix element of the energy-momentum tensor to fourth order in chiral counting, and next-to-leading order tree-level amplitude of the pion-production in an external gravitational field. We discuss the relation of the obtained results to experimentally measurable observables. Our expressions for the chiral corrections to the nucleon gravitational form factors differ from those in the literature. That might require to revisit the chiral extrapolation of the lattice data on the nucleon gravitational form factors obtained in the past.

https://dx.doi.org/10.15120/gsi-2021-00667