What lattice calculations tell us about the glueball spectrum

We study a lattice Nambu-Jona-Lasinio model with certain continuous chiral and two-flavor symmetries. For the Hamiltonian of the model, we construct a ground state which breaks the parity and flavor symmetries. In our argument, the chiral symmetry plays a crucial role for proving the violation of the parity and flavor symmetries, although the model does not contain the so-called Wilson term.

hep-ph↗

arXiv2026

Generic framework for non-perturbative QCD in light hadrons

In this paper, we review several topological aspects of the QCD vacuum and recent progress on this quantitative framework for the low-lying hadron physics rooted in QCD by introducing the vacuum as a liquid of pseudoparticles. We have developed systematic density expansion on the dilute vacuum to calculate the vacuum expectation values (VEVs) and generalize the calculations to hadronic matrix element and hadronic form factors using the instanton liquid model (ILM). Thereby, the nonperturbative physics can be analyzed in a systematic framework with a few parameters: instanton size $ρ$ and instanton density $n_{I+A}$, and current quark mass $m$.

hep-ph↗

arXiv2026

Slow Quanta Bound States and a Possible Link to Dark Matter

We study the possibility of elementary energy quanta with vacuum propagation speed w < c, capable of interacting with each other to form massive bound states. The slow matter thus formed is shown to follow laws of Special Relativity mediated by velocity w rather than c, and to possess dynamical properties recalling some characteristics of Dark Matter.

hep-ph↗