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Lattice QCD Method To Study Hadron Mass Is Not Correct

High Energy Physics - Lattice 2018-07-18 v1 High Energy Physics - Phenomenology Nuclear Theory

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 nn><n=1\sum_n |n><n|=1 in between the partonic operators by assuming HQCDn>=Enn>H_{\rm QCD}|n>=E_n|n> where EnE_n is the energy of the hadron. However, in this paper we find HQCDn>Enn>H_{\rm QCD}|n>\neq E_n|n> because the QCD hamiltonian HQCDH_{QCD} is unphysical but the EnE_n and n>|n> of the hadron are physical. We show that this is consistent with EQCD(t)=<nHQCDn>EnE_{\rm QCD}(t)=<n|H_{QCD}|n>\neq E_n due to non-zero energy flux Eflux(t)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.

Keywords

Cite

@article{arxiv.1807.04127,
  title  = {Lattice QCD Method To Study Hadron Mass Is Not Correct},
  author = {Gouranga C Nayak},
  journal= {arXiv preprint arXiv:1807.04127},
  year   = {2018}
}

Comments

11 pages latex

R2 v1 2026-06-23T02:57:44.814Z