Lattice QCD Method To Study Hadron Mass Is Not Correct

2018/07/01 by Nayak, Gouranga C
#FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph) #Nuclear Theory (nucl-th)

paper · doi:10.48550/arxiv.1807.04127

Abstract

Since the numerical path integration in the lattice QCD involves quark and gluon fields (not hadron fields) the lattice QCD cannot calculate any hadronic observable. Because of this reason the hadronic properties are extracted in the lattice QCD method by inserting complete set of hadron states ∑_n |n>=E_n|n> where E_n is the energy of the hadron. However, in this paper we find H_{\rm QCD}|n>≠ E_n|n> because the QCD hamiltonian H_QCD is unphysical but the E_n and |n> of the hadron are physical. We show that this is consistent with E_{\rm QCD}(t)=≠ E_n due to non-zero energy flux E_{\rm flux}(t) in QCD because of confinement involving non-perturbative QCD. Hence we find that the lattice QCD method to study hadron mass is not correct.

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