Gluons in the lattice SU(2) classical field

TL;DR

This paper investigates gluonic correlation functions and glueball masses in SU(2) lattice gauge theory, highlighting the role of instantons and their impact on the glueball spectrum using classical gauge configurations.

Contribution

It provides new lattice simulation results on gluonic correlators and glueball masses, emphasizing the influence of instantons in the SU(2) gauge theory.

Findings

Confirmation of instanton-induced attractive force in the 0+ channel

Evidence of instanton vacuum contribution to the 0+ glueball mass

Observation of repulsive force in the 0- channel

Abstract

The SU(2) gluonic correlation functions, glueball effective masses in the $J^{P}=0^{+}$, $2^{+}$ and $0^{-}$ channels were calculated from the lattice classical gauge configurations which were obtained by smoothing the thermal gauge configurations through the improved cooling method. The instanton-induced attractive force in the $0^{+}$ channel and the repulsive force in the $0^-$ channel are confirmed in the Monte Carlo simulation. There is evidence that the instanton vacuum contribution to the $0^+$ glueball mass is significant.