Properties of the vacuum medium in non-Abelian gauge theory

Journal Article · Tue Jun 15 04:00:00 EDT 1982 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.25.3269· OSTI ID:5283503

Hosotani, Y; Yamagishi, H

Instanton effects in pure non-Abelian gauge theory are investigated. It is found that there is a subtlety involved in the definition of the macroscopic fields and magnetization. The correct relation is given by F/sup a//sub munu/ = H/sup a//sub munu/+(1/2)4..pi../sup 2/M/sup a//sub munu/, where F/sup a//sub munu/ is the macroscopic average of the microscopic field strength, partial/sub ..mu../H/sup a//sub munu/ = -J/sup a/,ext/sub ..nu../, and M/sup a//sub munu/ is the magnetization normalized by tail fields of instantons. The extra factor 1/2 is due to the extended nature of instantons. It is also found that external electric fields suppress instanton effects. The dielectric constant epsilon(E)equivalentD/E rapidly changes from a small value to about 0.9 in a fairly small interval of E.

• Research Organization: The Enrico Fermi Institute, The University of Chicago, Chicago, Illinois 60637
• OSTI ID: 5283503
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 25:12; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
DIELECTRIC PROPERTIES
ELECTRIC FIELDS
ELECTRICAL PROPERTIES
FUNCTIONS
GAUGE INVARIANCE
INSTANTONS
INVARIANCE PRINCIPLES
MAGNETIZATION
PARTITION FUNCTIONS
PHYSICAL PROPERTIES
QUASI PARTICLES
SPACE-TIME
VACUUM STATES