Classification of gauge fields

Journal Article · Thu Feb 01 04:00:00 EST 1979 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.524075· OSTI ID:6584571

Anandan, J

It is shown that the Lorentz invariants of an arbitrary gauge field are double valued functions of a Lorentz invariant matrix L/sup i/j when rank L=3 and single valued functions of L/sup i/j when rank Lnot =3. The question of how many Lorentz inequivalent realizations of the Lorentz invariants there are is answered. This leads naturally to a classification of an arbitrary gauge field at a space--time point, given previously by Anandan and Tod based on the rank of L. The answer to the analogous question for the gauge invariants of the SU(2) gauge field leads to a new classification of this field. Five more classifications of this field, including one which is symmetric with respect to space--time and isospin groups, are also presented.

• Research Organization: Department of Physics and Astronomy, University of Pittsburgh, Pittsburgh, Pennsylvania 15260
• OSTI ID: 6584571
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 20:2; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
FIELD THEORIES
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
ISOSPIN
LIE GROUPS
LORENTZ INVARIANCE
PARTICLE PROPERTIES
QUANTUM FIELD THEORY
SPACE-TIME
SU GROUPS
SU-2 GROUPS
SYMMETRY GROUPS