Parameter free calculation of hadronic masses from instantons

Abstract

We propose a non-perturbative calculation scheme which is based on the semi-classical approximation of QCD and can be used to evaluate quantities of interest in hadronic physics. As a first application, we evaluate the mass of the pion and of the nucleon. Such masses are related to a particular combination of Green functions which, in some limit, is dominated by the contribution of \emph{very small-sized} instantons. The size distribution of these pseudo-particles is determined by the 't Hooft tunneling amplitude formula and therefore our calculation is free from any model parameters. We prove that instanton forces generate a light pion and a nucleon with realistic mass ($M_n\sim 970MeV$). In connection with sum-rules approaches, we discuss the overlap of instantons with pion and nucleon resonances.

References in corpus (2)

• Systematic Study of the Single Instanton Approximation in QCD
• Proton Electro-Magnetic Form-Factors in the Instanton Liquid Model

Cited by in corpus (7)

• QCD Topology at Finite Temperature: Statistical Mechanics of Selfdual Dyons
• Are There Diquarks in the Nucleon?
• Instanton Contribution to the Pion Electro-Magnetic Formfactor at Q^2 > 1 GeV^2
• Instantons, diquarks and non-leptonic weak decays of hyperons
• Instanton Contribution to the Electro-Magnetic Form Factors of the Nucleon
• Instanton Contribution to the Proton and Neutron Electric Form Factors
• Computing the Effective Hamiltonian of Low-Energy Vacuum Gauge Fields