Nonanalyticity of the perturbative expansion for super-renormalizable massless field theories

The complete infrared expansion of Feynman amplitudes is established at any dimension d. The so called infrared finite parts develop poles at rational d. We prove a conjecture by Parisi by constructing an infrared subtraction procedure which defines finite amplitudes in such dimensions. The correspo...

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Bibliographic Details
Published inAnnals of physics Vol. 142; no. 2; pp. 416 - 447
Main Authors Bergère, M.C, David, F
Format Journal Article
LanguageEnglish
Published Elsevier Inc 01.09.1982
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Summary:The complete infrared expansion of Feynman amplitudes is established at any dimension d. The so called infrared finite parts develop poles at rational d. We prove a conjecture by Parisi by constructing an infrared subtraction procedure which defines finite amplitudes in such dimensions. The corresponding counterterms are associated to nonlocal operators and are generated in a nonperturbative way for super-renormalizable theories. We determine at all orders the perturbative expansion which contains powers and logarithms of the coupling constant.
ISSN:0003-4916
1096-035X
DOI:10.1016/0003-4916(82)90078-1