One-loop counterterms for the dimensional regularization of arbitrary Lagrangians

摘要

We present master formulas for the divergent part of the one-loop effectiveaction for an arbitrary (both minimal and nonminimal) operators of any order inthe 4-dimensional curved space. They can be considered as computer algorithms,because the one-loop calculations are then reduced to the simplest algebraicoperations. Some test applications are considered by REDUCE analyticalcalculation system.