Multispinor symmetries for massless arbitrary spin Fierz--Pauli and Rarita--Schwinger wave equations

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

DOI:https://doi.org/10.1063/1.527079· OSTI ID:5714126

Doughty, N A; Collins, G P

Massless, D( j,0)direct-sumD(0, j), multispinor fields of arbitrary unmixed spin j are reduced by simple matrix-algebra methods to associated tensors and tensor--spinors. A generalized Majorana condition applied to the multispinors is seen to correspond to reality and Majorana conditions on the associated tensors and tensor--spinors, respectively. The symmetries of the latter are displayed explicitly for arbitrary spin. For spin-1, - (3)/(2) , -2, and - (5)/(2) the free-field gauge-invariant Lagrangian wave equations of Maxwell (spin-1), Rarita--Schwinger (spin- (3)/(2) ), Fierz--Pauli (spin-2), and spin- (5)/(2) are derived directly and in a uniform manner from the simpler equations of the unmixed spin reps strongly suggesting the method is extendable to arbitrary spin. Similar features of massive fields are briefly reviewed.

• Research Organization: Physics Department, University of Canterbury, Christchurch, New Zealand
• OSTI ID: 5714126
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 27:6; 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
ANGULAR MOMENTUM
DIFFERENTIAL EQUATIONS
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
FIERZ-PAULI THEORY
FUNCTIONS
GROUP THEORY
LAGRANGIAN FUNCTION
MATHEMATICS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE PROPERTIES
QUANTUM FIELD THEORY
RARITA-SCHWINGER THEORY
SPIN
SPINORS
SYMMETRY
WAVE EQUATIONS