English

Parameter free calculation of hadronic masses from instantons

High Energy Physics - Phenomenology 2009-11-07 v1

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 (Mn970MeVM_n \sim 970 MeV). In connection with sum-rules approaches, we discuss the overlap of instantons with pion and nucleon resonances.

Keywords

Cite

@article{arxiv.hep-ph/0111322,
  title  = {Parameter free calculation of hadronic masses from instantons},
  author = {Pietro Faccioli},
  journal= {arXiv preprint arXiv:hep-ph/0111322},
  year   = {2009}
}
R2 v1 2026-07-22T13:37:42.090Z