General properties of logarithmically divergent one-loop lattice Feynman integrals
| dc.creator | Kim, Jongjeong | |
| dc.creator | Adams, David H. | |
| dc.creator | Lee, Weonjong | |
| dc.date | 2007-10-10 | |
| dc.date.accessioned | 2026-07-07T13:02:51Z | |
| dc.date.available | 2026-07-07T13:02:51Z | |
| dc.description | We prove that logarithmically divergent one-loop lattice Feynman integrals have the general form I(p,a) = f(p)log(aM)+g(p,M) up to terms which vanish for lattice spacing a -> 0. Here p denotes collectively the external momenta and M is an arbitrary mass scale. The f(p) is shown to be universal and to coincide with the analogous quantity in the corresponding continuum integral (regularized, e.g., by momentum cut-off). This is essential for universality of the lattice QCD beta-function and anomalous dimensions of renormalized lattice operators at one loop. The result and argument presented here are simplified versions of ones given in arXiv:0709.0781. A noteworthy feature of the argument here is that it does not involve Taylor expansion in external momenta, hence infra-red divergences associated with that expansion do not arise. | |
| dc.description | 7 pages, presented at the XXV International Symposium on Lattice Field Theory, July 30 - August 4 2007, Regensburg | |
| dc.identifier | https://arxiv.org/abs/0710.1930 | |
| dc.identifier | http://arxiv.org/abs/0710.1930 | |
| dc.identifier | PoSLAT2007:266,2007 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/226593 | |
| dc.subject | High Energy Physics - Lattice | |
| dc.title | General properties of logarithmically divergent one-loop lattice Feynman integrals | |
| dc.type | text |