The non-perturbative part of the plaquette in quenched QCD
| dc.creator | Meurice, Y. | |
| dc.date | 2006-09-05 | |
| dc.date | 2006-10-27 | |
| dc.date.accessioned | 2026-07-07T10:24:46Z | |
| dc.date.available | 2026-07-07T10:24:46Z | |
| dc.description | We define the non-perturbative part of a quantity as the difference between its numerical value and the perturbative series truncated by dropping the order of minimal contribution and the higher orders. For the anharmonic oscillator, the double-well potential and the single plaquette gauge theory, the non-perturbative part can be parametrized as A (lambda)^B exp{-C/lambda} and the coefficients can be calculated analytically. For lattice QCD in the quenched approximation, the perturbative series for the average plaquette is dominated at low order by a singularity in the complex coupling plane and the asymptotic behavior can only be reached by using extrapolations of the existing series. We discuss two extrapolations that provide a consistent description of the series up to order 20-25. These extrapolations favor the idea that the non-perturbative part scales like (a/r_0)^4 with a/r_0 defined with the force method. We discuss the large uncertainties associated with this statement. We propose a parametrization of ln((a/r_0)) as the two-loop universal terms plus a constant and exponential corrections. These corrections are consistent with a_{1-loop}^2 and play an important role when beta<6. We briefly discuss the possibility of calculating them semi-classically at large beta. | |
| dc.description | 13 pages, 16 figures, uses revtex, contains a new section with the uncertainties on the extrapolations, refs. added | |
| dc.identifier | https://arxiv.org/abs/hep-lat/0609005 | |
| dc.identifier | http://arxiv.org/abs/hep-lat/0609005 | |
| dc.identifier | Phys.Rev.D74:096005,2006 | |
| dc.identifier | doi:10.1103/PhysRevD.74.096005 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/176307 | |
| dc.subject | High Energy Physics - Lattice | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | The non-perturbative part of the plaquette in quenched QCD | |
| dc.type | text |