TY - JOUR
T1 - A cutoff procedure and counterterms for differential renormalization
AU - Freedman, Daniel Z.
AU - Johnson, Kenneth
AU - Muñoz-Tapia, Ramon
AU - Vilasís-Cardona, Xavier
N1 - Funding Information:
This work is supported in part by funds provided by the US Department of Energy (DOE) under contract DE-ACO2-76ER03069, the National Science Foundation under grant 87-08447, NATO under grant CRG-910890 and CICYT. R.M.T. acknowledges a Fleming fellowship from the Ministerio de Educación y Ciencia jointly with the British Council. X.V.C. acknowledges an FPI grant from the Ministerio de Educación y Ciencia.
PY - 1993/4/26
Y1 - 1993/4/26
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0000099395&partnerID=8YFLogxK
U2 - 10.1016/0550-3213(93)90225-E
DO - 10.1016/0550-3213(93)90225-E
M3 - Article
AN - SCOPUS:0000099395
SN - 0550-3213
VL - 395
SP - 454
EP - 496
JO - Nuclear Physics, Section B
JF - Nuclear Physics, Section B
IS - 1-2
ER -