On solution spaces of massless field equations with arbitrary spin

Journal Article · Fri Aug 01 00:00:00 EDT 1986 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.527037· OSTI ID:5569916

Heidenreich, W

The solution spaces of massless field equations D'Alembertian Psi = 0, with Psi being a tensor, a (multi)spinor, or a Rarita--Schwinger field, are studied. They carry indecomposable representations of the Poincare-acute-accent group whose invariant subspaces are determined. There exist indefinite invariant scalar products that allow Gupta--Bleuler quantization for all spins. For particular cases like the third--rank tensor with mixed symmetry and the Rarita--Schwinger field for spin- (3)/(2) , additional field equations are discussed, which project on subspaces.

• Research Organization: Institut fuer Theoretische Physik, Technische Universitaet Clausthal, D-3392 Clausthal-Zellerfeld, Federal Republic of Germany
• OSTI ID: 5569916
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 27:8; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANALYTICAL SOLUTION
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
HELICITY
INVARIANCE PRINCIPLES
LIE GROUPS
MASS
MATHEMATICAL SPACE
PARTICLE PROPERTIES
POINCARE GROUPS
QUANTUM FIELD THEORY
QUANTUM GRAVITY
RARITA-SCHWINGER THEORY
SPACE
SYMMETRY GROUPS