Glueballs at finite temperature inSU(3)Yang-Mills theory

Abstract

Thermal properties of glueballs in SU (3) Yang-Mills theory are investigated in a large temperature range from 0.3Tc to 1.9Tc on anisotropic lattices. The glueball operators are optimized for the projection of the ground states by the variational method with a smearing scheme. Their thermal correlators are calculated in all 20 symmetry channels. It is found in all channels that the pole masses MG of glueballs remain almost constant when the temperature is approaching the critical temperature Tc from below, and start to reduce gradually with the temperature going above Tc. The correlators in the 0 ++ , 0 −+ , and 2 ++ channels are also analyzed based on the Breit-Wigner Ansatz by assuming a thermal width Γ to the pole mass ω0 of each thermal glueball ground state. While the values of ω0 are insensitive to T in the whole temperature range, the thermal widths Γ exhibit distinct behaviors at temperatures below and above Tc. The widths are very small (approximately few percent of ω0 or even smaller) when T < Tc, but grow abruptly when T > Tc and reach values of roughly Γ ∼ ω0/2 at T ≈ 1.9Tc.Thermal properties of glueballs in SU (3) Yang-Mills theory are investigated in a large temperature range from 0.3Tc to 1.9Tc on anisotropic lattices. The glueball operators are optimized for the projection of the ground states by the variational method with a smearing scheme. Their thermal correlators are calculated in all 20 symmetry channels. It is found in all channels that the pole masses MG of glueballs remain almost constant when the temperature is approaching the critical temperature Tc from below, and start to reduce gradually with the temperature going above Tc. The correlators in the 0 ++ , 0 −+ , and 2 ++ channels are also analyzed based on the Breit-Wigner Ansatz by assuming a thermal width Γ to the pole mass ω0 of each thermal glueball ground state. While the values of ω0 are insensitive to T in the whole temperature range, the thermal widths Γ exhibit distinct behaviors at temperatures below and above Tc. The widths are very small (approximately few percent of ω0 or even smaller) when T < Tc, but grow abruptly when T > Tc and reach values of roughly Γ ∼ ω0/2 at T ≈ 1.9Tc.

Glueballs and the Yang-Mills plasma in aT-matrix approach

“…The main observation to be made from Refs. [60,61] is that the glueball masses decrease above T c with increasing temperature, with a mass near T c that is similar to the zero temperature one. This nontrivial behavior is well checked within our approach.…”

“…Only a few papers devoted to the existence of glueballs on the lattice are currently known [60,61], and the interpretation of their results depends mostly on the way the glueball correlators are fitted-with either a single narrow pole or a Breit-Wigner shape. Let us focus on the narrow pole fit, which identifies bound states in a way similar to ours.…”

Localization of topological charge density near Tc in quenched QCD with Wilson flow

“…For comparing our results with those from Ref. [24], we had used same parameter r 0 ≈ 410 MeV as Ref. [24] does.…”

“…[24], we had used same parameter r 0 ≈ 410 MeV as Ref. [24] does. The fitting results are consistent with those from Ref.…”

Topological susceptibility near Tc in SU(3) gauge theory

“…The corresponding lattice spacing a s is set by calculating the static quark potential V (r) on an anisotropic lattice 24 3 × 128. The fitting result of string tension σ reads: More parameters details could be found in [7].…”