Bogoliubov–Parasyuk theorem
E461418
The Bogoliubov–Parasyuk theorem is a fundamental result in quantum field theory that rigorously establishes a systematic procedure for renormalizing divergent Feynman diagrams.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Bogoliubov–Parasyuk theorem canonical | 1 |
Statements (45)
| Predicate | Object |
|---|---|
| instanceOf |
result in quantum field theory
ⓘ
theorem ⓘ |
| addresses |
overlapping divergences
ⓘ
subdivergences in Feynman graphs ⓘ |
| aimsTo | make perturbative renormalization mathematically rigorous ⓘ |
| appliesTo |
divergent Feynman diagrams
ⓘ
perturbative quantum field theory ⓘ |
| assumes |
local quantum field theory
ⓘ
power-counting renormalizability ⓘ |
| basisFor | BPHZ renormalization scheme NERFINISHED ⓘ |
| clarifies |
role of counterterms in renormalization
ⓘ
structure of divergences in Feynman graphs ⓘ |
| concerns |
Feynman integrals
NERFINISHED
ⓘ
Green functions ⓘ renormalized perturbation series ⓘ |
| countryOfOrigin | Soviet Union ⓘ |
| ensures |
consistency of renormalization procedure
ⓘ
finiteness of renormalized Green functions ⓘ |
| field | quantum field theory ⓘ |
| formulatedBy |
Nikolay Bogoliubov
NERFINISHED
ⓘ
Oleg Parasyuk NERFINISHED ⓘ |
| guarantees |
locality of counterterms
ⓘ
renormalizability order by order in perturbation theory ⓘ |
| historicalContext |
development of quantum electrodynamics
ⓘ
postwar quantum field theory ⓘ |
| influenced |
axiomatic approaches to quantum field theory
ⓘ
modern renormalization theory ⓘ |
| language | originally published in Russian ⓘ |
| mathematicalDiscipline |
functional analysis
ⓘ
mathematical physics ⓘ |
| provides |
recursive subtraction scheme for divergences
ⓘ
systematic renormalization procedure ⓘ |
| relatedConcept |
counterterm method
ⓘ
normalization conditions ⓘ renormalization constants ⓘ subtraction schemes in momentum space ⓘ |
| relatedTo |
BPHZ renormalization
NERFINISHED
ⓘ
Bogoliubov–Parasyuk–Hepp–Zimmermann theorem NERFINISHED ⓘ Hepp–Zimmermann forest formula NERFINISHED ⓘ |
| subject |
Feynman diagrams
NERFINISHED
ⓘ
renormalization ⓘ ultraviolet divergences ⓘ |
| timePeriod | mid 20th century ⓘ |
| typeOf | rigorous renormalization theorem ⓘ |
| uses | R-operation ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.