Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1996-10-04
J.Math.Phys. 38 (1997) 738-758
Physics
High Energy Physics
High Energy Physics - Theory
23 pages, LaTeX, AMSsymbols, epsf style, 3 PostScript figures
Scientific paper
10.1063/1.531900
A careful analysis of differential 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 fixed integration constants differential 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 phi^4-theory. The two-point function is calculated up to five loops. The renormalization group is analyzed, the beta-function and the anomalous dimension are calculated up to fourth and fifth order, respectively.
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