Relativistic Wave Equations without the Velo-Zwanziger Pathology

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概要

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• For particles described by relativistic wave equations of the form: (-iΓ・∂+m)Ψ(x)=0 interacting with an external field B(x) it is known that the "non-causal" propogation characteristics are not present when (1) Γ_0 is diagonalizable and (2) B(x)=-eΓ_μA^μ(x) (Amar-Dozzio). The "non-causality" difficulties arise for the Rarita-Schwinger spin 3/2 equation, with non-diagonalizable Γ_0, in minimal coupling (i.e., B(x)=-eΓ・A(x)) and the PDK spin 1 equation, with diagonalizable Γ_0, in a quadrupole coupling (Velo-Zwanziger) where either (1) or (2) of the Amar-Dozzio (sufficient) conditions is violated. This paper derives and explores some sufficient conditions where the Velo-Zwanziger "non-causality" pathology can be avoided, even though one, or the other, or both of the conditions (1) or (2) are violated. Examples with both reducible and irreducible wave equations are included.

• 理論物理学刊行会の論文
• 1977-11-25

著者

• Khalil M.a.k.

  Center For Particle Theory Department Of Physics University Of Texas

• Khalil M.A.K.

  Center for Particle Theory, Department of Physics, University of Texas

関連論文

• Relativistic Wave Equations without the Velo-Zwanziger Pathology

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