Perturbative origin of an essential singularity in dimensional renormalization of quadratic divergences

Journal Article · Thu May 15 00:00:00 EDT 1986 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.33.3118· OSTI ID:5764229

Weisberger, W I

It has been shown recently that in the 1/N expansion, the minimally subtracted dimensional renormalization scheme breaks down for quadratically divergent operators. The physical dimension epsilon = 0 becomes an essential singularity, the accumulation point of an infinite sequence of poles. In this article, it is shown explicitly how these poles are generated order by order in perturbation theory.

• Research Organization: Institute for Theoretical Physics, State University of New York at Stony Brook, Stony Brook, New York 11794-3840
• OSTI ID: 5764229
• Journal Information: Phys. Rev. D; (United States), Vol. 33:10
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
QUANTUM FIELD THEORY
MASS RENORMALIZATION
PERTURBATION THEORY
ULTRAVIOLET DIVERGENCES
COUPLING CONSTANTS
QUANTUM NUMBERS
SELF-ENERGY
SIGMA MODEL
SPACE-TIME
ENERGY
FIELD THEORIES
MATHEMATICAL MODELS
PARTICLE MODELS
RENORMALIZATION
645400* - High Energy Physics- Field Theory