6533b7d4fe1ef96bd1261fc6

RESEARCH PRODUCT

The QCD analytic effective charge and its dependence on the pion mass

A. V. NesterenkoJoannis Papavassiliou

subject

High Energy Physics - TheoryPhysicsQuantum chromodynamicsNuclear and High Energy PhysicsParticle physicsMesonInfraredHigh Energy Physics::LatticeFísicaFOS: Physical sciencesAstronomy and AstrophysicsLimitingInvariant (physics)Atomic and Molecular Physics and OpticsEffective nuclear chargeHigh Energy Physics - PhenomenologyGeneral Relativity and Quantum CosmologyPionHigh Energy Physics - Phenomenology (hep-ph)High Energy Physics - Theory (hep-th)Dispersion relationHigh Energy Physics::ExperimentMathematics::Differential Geometry

description

A new model for the QCD analytic running coupling, which incorporates the effects due to the $\pi$ meson mass, is proposed. The properties of this invariant charge in spacelike and timelike regions are examined. Its main distinctive features are a finite infrared limiting value, which depends on the pion mass, and the "plateau-like" behavior in the deep infrared domain of the timelike region.

https://dx.doi.org/10.48550/arxiv.hep-ph/0409220