Pion electromagnetic formfactor in the instanton vacuum

Abstract

We have calculated the 3-point correlation function for the electromagnetic interaction of the pion in an ensembles of instantons and anti-instantons, modelling the QCD vacuum. The results are well described by a pion pole and the pion formfactor is extracted, nicely following a standard monopole fit. The experimental data on the formfactor are well reproduced, provided an average instanton size is fixed at ${\barρ}=0.35\pm 0.03\fm$, the same as found for a variety of other correlation functions and was found on the lattice.

35 pages, latex, revtex, epsfig, 8 color figures, 2 tables

References in corpus (4)

• Baryons as non-topological chiral solitons
• The instanton liquid in QCD at zero and finite temperature
• Hadronic Correlation Functions in the Interacting Instanton Liquid
• Chiral Symmetry Breaking by Instantons

Cited by in corpus (9)

• Instantons in QCD
• Toward the non-perturbative description of high energy processes
• Instanton Contribution to the Pion Electro-Magnetic Formfactor at Q^2 > 1 GeV^2
• Nonperturbative quark-antiquark interactions in mesonic form factors
• Proton Electro-Magnetic Form-Factors in the Instanton Liquid Model
• Instanton Contribution to the Electro-Magnetic Form Factors of the Nucleon
• Parameter free calculation of hadronic masses from instantons
• Instanton-induced charm contribution to polarized deep-inelastic scattering
• The Pauli Form Factor of Quark and Nontrivial Topological Structure of the QCD