BETA-FUNCTIONS AND ANOMALOUS DIMENSIONS UP TO 3 LOOPS

Authors
CHETYRKIN K MISIAK M MUNZ M
Citation
K. Chetyrkin et al., BETA-FUNCTIONS AND ANOMALOUS DIMENSIONS UP TO 3 LOOPS, Nuclear physics. B, 518(1-2), 1998, pp. 473-494
Citations number
27
Categorie Soggetti
Physics, Particles & Fields","Physics, Nuclear
Journal title
Nuclear physics. B → ACNP
ISSN journal
05503213
Volume
518
Issue
1-2
Year of publication
1998
Pages
473 - 494
Database
ISI
SICI code
0550-3213(1998)518:1-2<473:BAADUT>2.0.ZU;2-Q
Abstract
We derive an algorithm for automatic calculation of perturbative p-fun ctions and anomalous dimensions in any local quantum field theory with canonical kinetic terms. The infrared rearrangement is performed by i ntroducing a common mass parameter in all the propagator denominators. We provide a set of explicit formulae for all the necessary scalar in tegrals up to three loops. (C) 1998 Published by Elsevier Science B.V.