6533b858fe1ef96bd12b64ed

RESEARCH PRODUCT

Non local lagrangians(I): the pion

S. Noguera

subject

Quantum chromodynamicsPhysicsQuarkNuclear and High Energy PhysicsParticle physicsNuclear TheoryHigh Energy Physics::LatticeHigh Energy Physics::PhenomenologyNuclear TheoryGeneral Physics and AstronomyPropagatorFOS: Physical sciencesPartonPartícules (Física nuclear)Cromodinàmica quànticaNuclear Theory (nucl-th)High Energy Physics - PhenomenologyPionHigh Energy Physics - Phenomenology (hep-ph)Física nuclearHigh Energy Physics::ExperimentGauge theoryPion decay constantNuclear ExperimentBoson

description

We define a family of non local and chirally symmetric low energy lagrangians motivated by theoretical studies on Quantum Chromodynamics. These models lead to quark propagators with non trivial momentum dependencies. We define the formalism for two body bound states and apply it to the pion. We study the coupling of the photon and W bosons with special attention to the implementation of local gauge invariance. We calculate the pion decay constant recovering the Goldberger-Treiman and the Gell-Mann-Oakes-Renner relations. We recover a form of the axial current consistent with PCAC. Finally we study the pion form factor and we construct the operators involved in its parton distribution.

https://dx.doi.org/10.48550/arxiv.hep-ph/0502171