Resolving Ordering Ambiguities in the Collective Quantization by Particle Conjugation Constraints

Details Resolving Ordering Ambiguities in the Collective Quantization by Particle Conjugation Constraints Resolving Ordering Ambiguities in the Collective Quantization by Particle Conjugation Constraints

1994-10-19

arxiv.org/abs/hep-ph/9410321v2

Phys.Rev. D51 (1995) 6296-6307

Physics

High Energy Physics

High Energy Physics - Phenomenology

20 pages LaTeX, Conclusions made more precise, some recent references added

Scientific paper

10.1103/PhysRevD.51.6296

We formulate the particle conjugation operation and its convenient realization as $G$--parity in the framework of several chiral soliton models. The Skyrme model, the Skyrme model with vector mesons and the chiral quark model are specifically treated. The vector and axial vector currents are classified according to their behavior under $G$--parity. In the soliton sector particle conjugation constrains {\it a priori} ambiguous orderings of operators in the space of the collective coordinates. In the Skyrme model with vector mesons and in a local chiral model with an explicit valence quark this classification scheme provides consistency conditions for the ordering of the collective operators appearing in the $1/N_C$ corrections to the nucleon axial charge and the isovector magnetic moment. These consistency conditions cause the corrections obtained from an ordinary perturbation expansion to vanish in the context of the collective quantization of the static soliton configuration. This conclusion presumably applies to all local effective chiral models.

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