Implicit Regularisation Technique: Calculation of the Two-loop $φ^4_4$-theory $β$-function

Details Implicit Regularisation Technique: Calculation of the Two-loop $φ^4_4$-theory $β$-function Implicit Regularisation Technique: Calculation of the Two-loop $φ^4_4$-theory $β$-function

1998-11-16

arxiv.org/abs/hep-th/9811157v2

Mod.Phys.Lett. A14 (1999) 1509-1518

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, LaTeX, 2 figures (eps), Text reorganised and new reference

Scientific paper

10.1142/S0217732399001607

We propose an implicit regularisation scheme. The main advantage is that since no explicit use of a regulator is made, one can in principle avoid undesirable symmetry violations related to its choice. The divergent amplitudes are split into basic divergent integrals which depend only on the loop momenta and finite integrals. The former can be absorbed by a renormalisation procedure whereas the latter can be evaluated without restrictions. We illustrate with the calculation of the $QED$ and $\phi^4_4$-theory $\beta$-function to one and two-loop order, respectively.

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