Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1992-06-05
Nucl.Phys.B395:454-496,1993
Physics
High Energy Physics
High Energy Physics - Theory
28 pages, CTP#2099-DTP/92/40-UBECMPF/92/13, 2 figures (not included). (Tex problems solved and information about number of pag
Scientific paper
10.1016/0550-3213(93)90225-E
Explicit divergences and counterterms do not appear in the differential renormalization method, but they are concealed in the neglected surface terms in the formal partial integration procedure used. A systematic real space cutoff procedure for massless $\phi^4$ theory is therefore studied in order to test the method and its compatibility with unitarity. Through 3-loop order, it is found that cutoff bare amplitudes are equal to the renormalized amplitudes previously obtained using the formal procedure plus singular terms which can be consistently cancelled by adding conventional counterterms to the Lagrangian. Renormalization group functions $\beta (g)$ and $\gamma (g)$ obtained in the cutoff theory also agree with previous results.
Freedman Daniel Z.
Johnson Kaj
Munoz-Tapia Ramon
Vilasis-Cardona Xavier
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