O(a) improved QCD: The 3-loop beta-function, and the critical hopping parameter
| dc.creator | Bode, A. | |
| dc.creator | Panagopoulos, H. | |
| dc.creator | Proestos, Y. | |
| dc.date | 2001-10-31 | |
| dc.date.accessioned | 2026-07-07T03:38:42Z | |
| dc.date.available | 2026-07-07T03:38:42Z | |
| dc.description | We calculate the 3-loop bare $β$-function of QCD, formulated on the lattice with the clover fermionic action. The dependence of our result on the number of colors $N$, the number of fermionic flavors $N_f$, and the clover parameter $c_{SW}$, is shown explicitly. A direct outcome of our calculation is the two-loop relation between the bare coupling constant $g_0$ and the one renormalized in the MS-bar scheme. Further, we can immediately derive the three-loop correction to the relation between the lattice $Λ$-parameter and $g_0$, which turns out to be very pronounced. We also calculate the critical value of the hopping parameter, $κ_c$, in the clover action, to two loops in perturbation theory. This quantity is an additive renormalization; as such, it exhibits a linear divergence in the lattice spacing. We compare our results to non perturbative evaluations of $κ_c$ coming from MC simulations. | |
| dc.description | 3 pages, contribution to Lattice2001(improvement). Longer write-ups of the two calculations can be found in hep-lat/0110211 and hep-lat/0108021 | |
| dc.identifier | https://arxiv.org/abs/hep-lat/0110225 | |
| dc.identifier | http://arxiv.org/abs/hep-lat/0110225 | |
| dc.identifier | Nucl.Phys.Proc.Suppl. 106 (2002) 832-834 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/38641 | |
| dc.subject | High Energy Physics - Lattice | |
| dc.title | O(a) improved QCD: The 3-loop beta-function, and the critical hopping parameter | |
| dc.type | text |