Self-dual gauge fields

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

DOI:https://doi.org/10.1103/PhysRevD.20.1909· OSTI ID:6001182

Goldberg, J N

Self-dual solutions of massless Yang-Mills gauge fields are constructed from a two-parameter family of elements G (x/sup ..mu../,zeta,zeta-tilde) of a gauge group G. The construction uses the existence of a one-parameter family of anti-self-dual totally null two-surfaces through each point of complex Minkowski space. These surfaces allow one to introduce coordinates on the projective twistor space PT. Then G (x/sup ..mu../,zeta,zeta-tilde) is used to construct a fiber bundle over PT giving Ward's encoding of the gauge field in the transition functions.

• Research Organization: Department of Physics, Syracuse University, Syracuse, New York 13210
• OSTI ID: 6001182
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 20:8; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
DUALITY
ELEMENTARY PARTICLES
EQUATIONS
FIELD EQUATIONS
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
LORENTZ TRANSFORMATIONS
MASSLESS PARTICLES
MATHEMATICAL SPACE
MINKOWSKI SPACE
PARTICLE PROPERTIES
SPACE
SPIN
SPINORS
TRANSFORMATIONS
TWISTOR THEORY
YANG-MILLS THEORY