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

Journal Article · Wed Sep 01 00:00:00 EDT 1982 · Ann. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1016/0003-4916(82)90078-1· OSTI ID:6424791

Bergere, M C; David, F

The complete field 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 corrsponding 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.

• Research Organization: Divsion de la Physique, Commissariat a L'Energie Atomique, Service de Physique Theorique, CEN-Saclay, 91191 Gif-sur-Yvette, France
• OSTI ID: 6424791
• Journal Information: Ann. Phys. (N.Y.); (United States), Journal Name: Ann. Phys. (N.Y.); (United States) Vol. 142:2; ISSN APNYA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
COUPLING CONSTANTS
DIAGRAMS
FEYNMAN DIAGRAM
FIELD THEORIES
FUNCTIONS
GREEN FUNCTION
INFRARED DIVERGENCES
INTEGRAL TRANSFORMATIONS
MELLIN TRANSFORM
PERTURBATION THEORY
QUANTUM FIELD THEORY
RENORMALIZATION
TRANSFORMATIONS