A cutoff procedure and counterterms for differential renormalization

Daniel Z. Freedman, Kenneth Johnson, Ramon Muñoz-Tapia, Xavier Vilasís-Cardona

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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 φ4 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 β(g) and γ(g) obtained in the cutoff theory also agree with previous results.

Idioma originalAnglès
Pàgines (de-a)454-496
Nombre de pàgines43
RevistaNuclear Physics, Section B
Estat de la publicacióPublicada - 26 d’abr. 1993
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