High Spin Particles with Spin-Mass Coupling

. The classical and quantum model of high spin particles is analyzed within the manifestly covariant framework. The model is obtained by supplementing the standard Lagrange function for relativistic point particle by additional terms governing the dynamics of internal degrees of freedom. They are de...

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Bibliographic Details
Published in:Advances in applied Clifford algebras 2008-02, Vol.18 (1), p.29-41
Main Authors: Daszkiewicz, M., Hasiewicz, Z., Walczyk, C. J.
Format: Article
Language:English
Subjects:
Applications of Mathematics
Mathematical and Computational Physics
Mathematical Methods in Physics
Physics
Physics and Astronomy
Theoretical
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Summary:. The classical and quantum model of high spin particles is analyzed within the manifestly covariant framework. The model is obtained by supplementing the standard Lagrange function for relativistic point particle by additional terms governing the dynamics of internal degrees of freedom. They are described by (3, 1) Clifford algebra (Majorana) spinors. The covariant quantization leads to the spectrum of the particles with the masses depending on their spins. The particles (and anti-particles) appear to be orphaned as their potential anti-particle partners are of different mass.
ISSN:0188-7009
1661-4909
DOI:10.1007/s00006-007-0060-9