College of Science
84 Continuum-Limit Extrapolation of the Pure SU(3) Deconfinement Temperature Using Bayesian Model Averaging
Kai Ebira and David Anthony Clarke
Faculty Mentor: Carleton DeTar and David A. Clarke (Physics and Astronomy, University of Utah)
Abstract
Arguably the most important systematic uncertainty plaguing a lattice calculation is the uncertainty due to finite lattice spacing; the act of removing this uncertainty is known as a continuum-limit extrapolation. Here we carry out a continuum-limit extrapolation of the pure SU(3) deconfinement temperature. We leverage Bayesian model averaging to get a controlled extrapolation, taking into account uncertainty due to model choice, for example the fit form used to carry out the extrapolation. From our spline results, we are able to reproduce the literature value.
*We would like to thank the folks organizing the Science Research Initiative (SRI) for managing that framework, without which this project would not exist. The support and resources from the Center for High Performance Computing at the University of Utah are gratefully acknowledged.
Literature results.
A. Francis et al. “Critical point and scale setting in SU(3) plasma: An update”, Phys. Rev. D, 91(9):096002, 2015.
Our spine interpolation results.
Our re-weighting results.
|
Literature |
SRI w/ Splines |
SRI w/ RW |
|---|---|---|
|
0.7457(45) |
0.7429(50) |
0.724(15) |
Bibliography
Ferrenberg, A. M. & Swensden, R. H. (1989). “New Monte Carlo technique for studying phase transitions.” Physical Review Letters, 63(12), pp. 1195–1198.
Fukugita, M., Okawa, M., & Ukawa, A. (1989). “Order of the deconfining phase transition in pure SU(3) lattice gauge theory.” Physical Review Letters, 63(17), pp. 1768–1771.
Fukugita, M., Okawa, M., & Ukawa, A. (1990). “Finite-size scaling study of the deconfining phase transition in pure SU(3) lattice gauge theory.” Nuclear Physics B, 337(1), pp. 181–203.
Francis, A., Kaczmarek, O., Laine, M., Neuhaus, T., & Ohno, H. (2015). “Critical point and scale setting in SU(3) plasma: An update.” Physical Review D, 91(9), 096002.
Jay, W. I., & Neil, E. T. (2021). “Bayesian model averaging for analysis of lattice field theory results.” Physical Review D, 103(11), 114502.
