In this paper we develop an algebraic technique for building relativistic models in the framework of the direct-interaction theories. The interacting mass operator M in the Bakamjian-Thomas construction is related to a quadratic Casimir operator C of a non-compact group G. As a consequence, the S matrix can be gained from an intertwining relation between Weyl-equivalent representations of G. The method is illustrated by explicit application to a model with SO(3, 1) dynamical symmetry.

On Algebraic Models of Relativistic Scattering

Ventura, A.;
2008

Abstract

In this paper we develop an algebraic technique for building relativistic models in the framework of the direct-interaction theories. The interacting mass operator M in the Bakamjian-Thomas construction is related to a quadratic Casimir operator C of a non-compact group G. As a consequence, the S matrix can be gained from an intertwining relation between Weyl-equivalent representations of G. The method is illustrated by explicit application to a model with SO(3, 1) dynamical symmetry.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12079/482
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