Quantum Physics
Hepp
Klaus
1966-12-01
proof
301-326
estimates
Feynman integrals
non-renormalizable theories
A new proof is given that the subtraction rules ofBogoliubov andParasiuk lead to well-defined renormalized Green's distributions. A collection of the counter-terms in “trees” removes the difficulties with overlapping divergences and allows fairly simple estimates and closed expressions for renormalized Feynman integrals. The renormalization procedure, which also applies to conventionally non-renormalizable theories, is illustrated in the ϕ4-theory.
andParasiuk lead
lead
https://scigraph.springernature.com/explorer/license/
Bogoliubov-Parasiuk theorem
renormalized Feynman integrals
green distribution
renormalization
divergence
theorem
integrals
Proof of the Bogoliubov-Parasiuk theorem on renormalization
1966-12
2021-11-01T18:33
expression
article
renormalization procedure
true
difficulties
new proof
theory
ofBogoliubov andParasiuk lead
collection
ϕ4-theory
trees
procedure
articles
distribution
simple estimate
https://doi.org/10.1007/bf01773358
en
subtraction
Mathematical Sciences
The Institute for Advanced Study, Princeton, New Jersey
The Institute for Advanced Study, Princeton, New Jersey
Mathematical Physics
Physical Sciences
Communications in Mathematical Physics
0010-3616
1432-0916
Springer Nature
pub.1025559985
dimensions_id
doi
10.1007/bf01773358
Springer Nature - SN SciGraph project
2
Pure Mathematics
1