Screening masses in the SU(3) pure gauge theory and universality

Abstract

We determine from Polyakov loop correlators the screening masses in the deconfined phase of the (3+1)d SU(3) pure gauge theory at finite temperature near the transition, for two different channels of angular momentum and parity. Their ratio is compared with that of the massive excitations with the same quantum numbers in the 3d 3-state Potts model in the broken phase near the transition point at zero magnetic field. Moreover we study the inverse decay length of the correlation between the real parts and between the imaginary parts of the Polyakov loop and compare the results with expectations from perturbation theory and mean-field Polyakov loop models.

Hierarchy of the low-lying excitations for the (2+1)-dimensional q=3 Potts model in the ordered phase

“…The above estimates such as the life time are specific to a lattice realization, although seemingly preferable scaling behavior was observed. However, in an approximate sense, the simulation results seem to be comparable with the related ones, as claimed by the preceeding studies [18,19,25].…”

“…According to Refs. [18,19], the hierarchy m 2,3,4 /m 1 of the Potts model and that of the pure gauge theory are alike. For instance, as for the Z 2 -symmetric gauge group [36], there was reported a hierarchy, (m (0 + ) ′ /m 0 + , m (0 + ) ′′ /m 0 + , m (2 + ) ′ /m 0 + ) = [1.88(2), 2.59(4), 3.23 (7)], quite reminiscent of ours, Eq.…”

“…According to the Monte Carlo simulations in (2 + 1) dimensions [18,19], the hierarchy m 1,2,... of the Potts model and that of the pure gauge theory look alike.…”

“…The two-magnon spectrum extends above ω > 2m 1 . The excitations m 1,2,... may have a relevance to the glueball spectrum for the (pure) gauge field theory[18,19]. The scaling plot, (λ − λc)L 1/ν -m 1 /m 1c , is presented for (+) N = 16, (×) 18, ( * )…”

Breakout character of islet amyloid polypeptide hydrophobic mutations at the onset of type-2 diabetes

“…Regardless of the fact that those excited spectra are not universal, the ratios computed among their mass-states (in the same channel) were shown to be [29]. More surprisingly, even when phase transitions are weak first-order -as it happens in quenched SU (3) QCD and Z 3 −Potts model -those respective ratios computed from both (approximate) universality-related theories still coincide up to a precision of 30% [31].…”