Higher loop renormalization of fermion bilinear operators
| dc.creator | Skouroupathis, A. | |
| dc.creator | Panagopoulos, H. | |
| dc.date | 2007-08-30 | |
| dc.date.accessioned | 2026-07-07T11:42:06Z | |
| dc.date.available | 2026-07-07T11:42:06Z | |
| dc.description | We compute the two-loop renormalization functions, in the RI' scheme, of local bilinear quark operators $\barψΓψ$, where $Γ$ denotes the Scalar and Pseudoscalar Dirac matrices, in the lattice formulation of QCD. We consider both the flavor non-singlet and singlet operators; the latter, in the scalar case, leads directly to the two-loop fermion mass renormalization, $Z_m$. As a prerequisite for the above, we also compute the quark field renormalization, $Z_ψ$, up to two loops. We use the clover action for fermions and the Wilson action for gluons. Our results are given as a polynomial in $c_{SW}$, in terms of both the renormalized and bare coupling constant, in the renormalized Feynman gauge. We also confirm the 1-loop renormalization functions, for generic gauge. A longer write-up of the present work, including the conversion of our results to the MSbar scheme and a generalization to arbitrary fermion representations, can be found in arXiv:0707.2906 . | |
| dc.description | 7 pages, 4 figures, presented at the XXV International Symposium on Lattice Field Theory, July 30 - August 4, 2007, Regensburg, Germany | |
| dc.identifier | https://arxiv.org/abs/0708.4087 | |
| dc.identifier | http://arxiv.org/abs/0708.4087 | |
| dc.identifier | PoSLAT2007:254,2007 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/200767 | |
| dc.subject | High Energy Physics - Lattice | |
| dc.title | Higher loop renormalization of fermion bilinear operators | |
| dc.type | text |