Abstract

Three-dimensional collective rotation and intrinsic motion in relativistic many-body systems are described by a relativistic quantum field theory with the Lagrangian containing nucleons and mesons. In this reasoning, the cranking model in uniform rotation is extended to the case of non-uniform rotation with a time-dependent cranking term. Since a rotating frame is an accelerated one, the technique of general relativity is used. The body-fixed frame is determined by imposing constraints, which correspond to the gauge-fixing conditions in the gauge theory. A canonical formulation of three-dimensional rotation and intrinsic motion is derived from this constrained system. The quantization of the classical system is performed using the Dirac procedure.

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