Is there a third-order phase transition in quenched QCD?
| dc.creator | Li, L. | |
| dc.creator | Meurice, Y. | |
| dc.date | 2005-09-22 | |
| dc.date.accessioned | 2026-07-07T06:23:38Z | |
| dc.date.available | 2026-07-07T06:23:38Z | |
| dc.description | We discuss the connection between the contributions of large field configurations and the large order behavior of perturbation theory. For quenched QCD, the sensitivity of the average plaquette to a removal of large field configurations has a narrow peak near beta=5.6. Various analysis of the order 10 weak coupling series for the plaquette give robust indications for a singularity in the third derivative of the free energy (second derivative of the plaquette) with respect to beta, near beta = 5.7. We report results of numerical calculations. The peak in the third derivative of the free energy present on 4^4 lattices disappears if the size of the lattice is increased isotropically up to a 10^4 lattice. On the other hand, on 4xL^3 lattices, it persists when L increases. The location of the peak coincides with the onset of a non-zero average for the Polyakov loop and seems related to the finite temperature transition. We also discuss the discrepancy between the perturbative series and the numerical values of the plaquette. | |
| dc.description | 6 pages, 4 figs. Lattice2005 (theory), uses PoS | |
| dc.identifier | https://arxiv.org/abs/hep-lat/0509096 | |
| dc.identifier | http://arxiv.org/abs/hep-lat/0509096 | |
| dc.identifier | PoS LAT2005 (2005) 258 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/96305 | |
| dc.subject | High Energy Physics - Lattice | |
| dc.title | Is there a third-order phase transition in quenched QCD? | |
| dc.type | text |