Large-order estimates for perturbation theory of a Yang-Mills field coupled to a scalar field

Journal Article · Tue May 15 04:00:00 EDT 1979 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.19.2974· OSTI ID:6212980

Lipatov, L N; Bukhvostov, A P; Malkov, E I

Using an iteration procedure we have found the six possible forms of classical solutions to coupled Yang-Mills and isodoublet scalar fields which are needed to learn the high-order behavior of the perturbation series of that field theory. For some of these solutions we have obtained solutions in closed form; for others we numerically estimate their contribution to the asymptotic behavior of the perturbation-theory coefficients. It turns out that in the limit of a pure Yang-Mills theory, the most important contribution comes from an instanton--anti-instanton configuration and leads to the conclusion that the perturbation theory is not definable by a Borel summation technique.

• Research Organization: Fermi National Accelerator Laboratory, Batavia, Illinois 60510
• OSTI ID: 6212980
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 19:10; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COUPLING CONSTANTS
EUCLIDEAN SPACE
FEYNMAN PATH INTEGRAL
FIELD THEORIES
FUNCTIONS
GREEN FUNCTION
INSTANTONS
INTEGRALS
LIE GROUPS
MATHEMATICAL SPACE
PERTURBATION THEORY
QUANTUM FIELD THEORY
QUASI PARTICLES
RENORMALIZATION
RIEMANN SPACE
SCALAR FIELDS
SPACE
SU GROUPS
SU-2 GROUPS
SYMMETRY GROUPS
YANG-MILLS THEORY