On a class of relativistic equations for fields with arbitrary spin

DOI10.1016/0034-4877(85)90021-7zbMath0598.22010OpenAlexW2094117149MaRDI QIDQ1079675

Raiko P. Zaikov

Publication date: 1985

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(85)90021-7

zbMATH Keywords

propagatorspinrelativistic wave equationsSL(2,\({\mathbb{C}})\)

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Applications of Lie groups to the sciences; explicit representations (22E70) Constructive quantum field theory (81T08) Renormalization group methods applied to problems in quantum field theory (81T17)

Cites Work

• Inconsistency of the local field theory of charged spin 3/2 particles
• Relativistically invariant equations \((\beta^{\mu} \partial_{\mu}+\rho)\Psi(x)=0\) with singular \(\rho\), and \(\det\beta^ 0\neq 0\)
• Spectral Representation of the Covariant Two-Point Function and Infinite-Component Fields with Arbitrary Mass Spectrum

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