Multispinor symmetries for massless arbitrary spin Fierz--Pauli and Rarita--Schwinger wave equations
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), Vol. 27:6
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
WAVE EQUATIONS
ANALYTICAL SOLUTION
FIELD EQUATIONS
FIERZ-PAULI THEORY
GROUP THEORY
LAGRANGIAN FUNCTION
QUANTUM FIELD THEORY
RARITA-SCHWINGER THEORY
SPIN
SPINORS
SYMMETRY
ANGULAR MOMENTUM
DIFFERENTIAL EQUATIONS
EQUATIONS
FIELD THEORIES
FUNCTIONS
MATHEMATICS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE PROPERTIES
645400* - High Energy Physics- Field Theory