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Effect of renormalization on the large-order behavior of weak- and strong-coupling perturbation theory

Journal Article · · Phys. Rev. D; (United States)
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We investigate the large-order behavior of weak- and strong-coupling perturbation series for a gphi/sup 4/ theory in zero space-time dimensions. Both the unrenormalized and renormalized weak-coupling expansions are divergent but Borel summable. The unrenormalized strong-coupling expansion is convergent, but its renormalized form is divergent and not even Borel summable.

Research Organization:
Department of Physics, Washington University, St. Louis, Missouri 63130
OSTI ID:
5622947
Journal Information:
Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 25:2; ISSN PRVDA
Country of Publication:
United States
Language:
English

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Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COUPLING CONSTANTS
FIELD THEORIES
FUNCTIONS
GREEN FUNCTION
MATHEMATICAL MODELS
NUCLEAR MODELS
PARTICLE MODELS
PERTURBATION THEORY
QUANTUM FIELD THEORY
RENORMALIZATION
SPACE-TIME
STRONG-COUPLING MODEL
WEAK-COUPLING MODEL