Natural renormalization
نویسنده
چکیده
A careful analysis of di erential renormalization shows that a distinguished choice of renormalization constants allows for a mathematically more fundamental interpretation of the scheme. With this set of a priori xed integration constants di erential renormalization is most closely related to the theory of generalized functions. The special properties of this scheme are illustrated by application to the toy example of a free massive bosonic theory. Then we apply the scheme to the 'theory. The two-point function is calculated up to ve loops. The renormalization group is analyzed, the beta-function and the anomalous dimension are calculated up to fourth and fth order, respectively.
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