6533b86dfe1ef96bd12c945e

RESEARCH PRODUCT

Pion electroproduction, partially conserved axial-vector current, chiral Ward identities, and the axial form factor revisited

T. FuchsStefan Scherer

subject

Quantum chromodynamicsElectromagnetic fieldPhysicsChiral anomalyNuclear and High Energy PhysicsParticle physicsChiral perturbation theoryHigh Energy Physics::LatticeNuclear TheoryHigh Energy Physics::PhenomenologyForm factor (quantum field theory)PionNuclear ExperimentNucleonPseudovectorMathematical physics

description

We reinvestigate Adler's partially conserved axial-vector current relation in the presence of an external electromagnetic field within the framework of QCD coupled to external fields. We discuss pion electroproduction within a tree-level approximation to chiral perturbation theory and explicitly verify a chiral Ward identity referred to as the Adler-Gilman relation. We critically examine soft-momentum techniques and point out how inadmissable approximations may lead to results incompatible with chiral symmetry. As a result we confirm that threshold pion electroproduction is indeed a tool to obtain information on the axial form factor of the nucleon.

https://doi.org/10.1103/physrevc.68.055501