Implicit regularisation technique: Calculation of the two-loop phi(4)(4)-theory beta-function

We propose an implicit regularisation scheme. The main advantage is that si nce no explicit use of a regulator is made, one can in principle avoid unde sirable symmetry violations related to its choice. The divergent amplitudes are split into basic divergent integrals which depend only on the loop mom enta and finite integrals. The former can be absorbed by a renormalisation procedure whereas the latter can be evaluated without restrictions. We illu strate with the calculation of the QED and phi(4)(4)-theory beta-function t o one- and two-loop orders, respectively.