Instanton interactions at the one-loop level

Journal Article · Fri Sep 15 04:00:00 EDT 1978 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.18.2026· OSTI ID:6637114

Bernard, C

We discuss the interactions between widely separated instantons (but not instantons and anti-instantons) due to the one-loop fluctuations in a non-Abelian gauge theory. A slightly generalized version of the recent calculation of Brown and Creamer for the one-loop determinant about an exact self-dual solution is used as a starting point. An apparently dangerous 1/r/sup 2/ interaction is found to disappear with the proper parametrization of the exact solution. As a by-product of our procedure, we develop a more precise understanding of the relation between exact solutions of topological charge k and the superposition of k instantons. In particular, the meaning of the parameters of the Jackiw-Nohl-Rebbi k = 2 solution is understood in these terms.

• Research Organization: Department of Physics, Columbia University, New York, New York 10027
• OSTI ID: 6637114
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 18:6; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
EUCLIDEAN SPACE
FIELD THEORIES
GAUGE INVARIANCE
INSTANTONS
INTERACTIONS
INVARIANCE PRINCIPLES
MATHEMATICAL SPACE
PARTICLE INTERACTIONS
QUANTUM FIELD THEORY
QUASI PARTICLES
RIEMANN SPACE
SPACE
YANG-MILLS THEORY