FERMIONS WITHOUT SPINORS

Benn, I.M.; Tucker, R.W.

doi:10.1007/BF01214659

FERMIONS WITHOUT SPINORS

I.M. Benn
(
- Lancaster U.
)
,
R.W. Tucker
(
- Lancaster U.
)

Jun, 1982

32 pages

Published in:

Commun.Math.Phys. 89 (1983) 341

DOI:

10.1007/BF01214659

Report number:

Print-82-0545 (LANCASTER)

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Abstract: (Springer)

The classical Kähler equation for an inhomogeneous differential form is analysed in some detail with respect to the physical properties of its Minkowski space solutions. Although the components of the field contain only integer representations of the Lorentz group for a physical interpretation of the quantum theory, we impose fermionic commutators. The electromagnetic interactions are identical to those of a Dirac spinor field with an extra fourfold degeneracy. Possibilities for the interpretation of the extra degrees of freedom are discussed.

FIELD EQUATIONS: KAEHLER
FIELD THEORY: SPACE-TIME
FIELD THEORY: FIBRE BUNDLE
ALGEBRA: CLIFFORD
GROUP THEORY: LORENTZ
CHARGE: ELECTRIC
FERMION
QUANTIZATION
ANGULAR MOMENTUM: CONSERVATION LAW

References(4)

Figures(0)

- Proc.Roy.Soc.Lond.A 118 654

Differential Forms as Spinors

W. Graf
(
- Konstanz U.
)

- Ann.Inst.H.Poincare Phys.Theor. 29 (1978) 85-109,
- Ann.Inst.Henri Poincare 29 (1978) 85-109

Harmonic Spinors

Nigel Hitchin

- Adv.Math. 14 1-55,
- Adv.Math. 14 (1974) 1, 1-55
•
DOI:
- 10.1016/0001-8708(74)90021-8

GAUGE FIELD INTERACTIONS FROM EXTRA DIMENSIONAL GRAVITY

I.M. Benn
(
- Lancaster U.
)
,
R.W. Tucker
(
- Lancaster U.
)

- Phys.Lett.B 112 (1982) 344-346
•
DOI:
- 10.1016/0370-2693(82)91065-6