THE 3-LOOP BETA-FUNCTION OF SU(N) LATTICE GAUGE-THEORIES WITH WILSON FERMIONS

Authors
CHRISTOU C FEO A PANAGOPOULOS H VICARI E
Citation
C. Christou et al., THE 3-LOOP BETA-FUNCTION OF SU(N) LATTICE GAUGE-THEORIES WITH WILSON FERMIONS, Nuclear physics. B, 525(1-2), 1998, pp. 387-400
Citations number
18
Categorie Soggetti
Physics, Particles & Fields","Physics, Nuclear
Journal title
Nuclear physics. B → ACNP
ISSN journal
05503213
Volume
525
Issue
1-2
Year of publication
1998
Pages
387 - 400
Database
ISI
SICI code
0550-3213(1998)525:1-2<387:T3BOSL>2.0.ZU;2-F
Abstract
We calculate the third coefficient of the lattice beta-function associ ated with the Wilson formulation for both gauge fields and fermions, T his allows us to evaluate the three-loop correction (linear in g(0)(2) ) to the relation between the lattice Lambda parameter and the bare co upling g(0), which is important in order to verify asymptotic scaling predictions. Our calculation also leads to the two-loop relation betwe en the coupling renormalized in the MS scheme and g(0). (C) 1998 Elsev ier Science B.V.