Axially symmetric multi-instanton solutions generated by conformal mappings

Journal Article · Sat Dec 15 04:00:00 EST 1979 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.20.3216· OSTI ID:5634546

Lo, C H; Narain, K S; Park, S Y; Wali, K C

It is shown that exact axially symmetric, regular self-dual multi-instanton solutions of the SU(2) Yang-Mills equations can be generated from the vacuum solution by means of singular conformal mappings of a complex plane followed by a singular gauge transformation. The regularizing gauge for the 't Hooft singular solution is found and the corresponding Yang-Mills gauge potential A/sub ..mu../ without any singularity and with the correct asymptotic behavior is given. The relations between the parameters in different forms of the solution are explored and the possible implications on the calculations of quantum effects are noted.

• Research Organization: Physics Department, Syracuse University, Syracuse, New York 13210
• OSTI ID: 5634546
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 20:12; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CONFORMAL MAPPING
EUCLIDEAN SPACE
GAUGE INVARIANCE
HIGGS MODEL
INSTANTONS
INVARIANCE PRINCIPLES
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICAL SPACE
PARTICLE MODELS
QUASI PARTICLES
RIEMANN SPACE
SPACE
SU GROUPS
SU-2 GROUPS
SYMMETRY
SYMMETRY GROUPS
TOPOLOGICAL MAPPING
TRANSFORMATIONS
VACUUM STATES
YANG-MILLS THEORY