Automatic O$(a)$ improvement for twisted-mass QCD
| dc.creator | Aoki, Sinya | |
| dc.creator | Bär, Oliver | |
| dc.date | 2006-10-18 | |
| dc.date.accessioned | 2026-07-07T10:41:28Z | |
| dc.date.available | 2026-07-07T10:41:28Z | |
| dc.description | We present a condition for automatic O$(a)$ improvement in twisted mass lattice QCD, using symmetries of the Symanzik effective theory. If the continuum part of the Symanzik effective theory is invariant under a particular transformation, named $T_1$ in this report, scaling violations of all quantities invariant under $T_1$ transformation are even in the lattice spacing $a$. On the other hand, quantities non-invariant under $T_1$ vanish in the continuum limit with odd powers in $a$. We prove this statement even for the massive case without using the equation of motion. We also consider a few different criteria for the $T_1$ invariant condition in lattice theories and discuss ambiguities of the lattice condition for O$(a)$ improvement. | |
| dc.description | 7 pages, talk presented at LATTICE 2006(spectroscopy) | |
| dc.identifier | https://arxiv.org/abs/hep-lat/0610098 | |
| dc.identifier | http://arxiv.org/abs/hep-lat/0610098 | |
| dc.identifier | PoSLAT2006:165,2006 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/181632 | |
| dc.subject | High Energy Physics - Lattice | |
| dc.title | Automatic O$(a)$ improvement for twisted-mass QCD | |
| dc.type | text |