Year: 2002
Type: article
Abstract: We discuss the behavior of two point functions for Polyakov loops in an $\mathrm{SU}(3)$ gauge theory about the critical temperature ${T}_{c}.$ From a $Z(3)$ model, in mean field theory we obtain a prediction for the ratio of masses at ${T}_{c},$ extracted from correlation functions for the imaginary and real parts of the Polyakov loop. This ratio is ${m}_{i}{/m}_{r}=3$ if the potential only includes terms up to quartic order in the Polyakov loop; its value changes as pentic and hexatic interactions become important. The Polyakov loop model then predicts how ${m}_{i}{/m}_{r}$ changes above ${T}_{c}.$
Authors: Adrian Dumitru, Robert D. Pisarski
Institution: Brookhaven National Laboratory
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
Funder: U.S. Department of Energy
Awards: G338944111, G5292656900
OpenAlex ID: W2053703115
