Resolving ordering ambiguities in the collective quantization by particle conjugation constraints

Journal Article · Thu Jun 01 04:00:00 EDT 1995 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.51.6296· OSTI ID:45688

Schechter, J ^[1]; Weigel, H ^[1]

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1. Department of Physics, Syracuse University, Syracuse, New York 13244-1130 (United States)

We formulate the particle conjugation operation and its convenient realization as {ital 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 {ital G} parity. In the soliton sector particle conjugation constrains {ital 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/{ital N}{sub {ital 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.

• Research Organization: Syracuse University
• DOE Contract Number: FG02-85ER40231
• OSTI ID: 45688
• Journal Information: Physical Review, D, Journal Name: Physical Review, D Journal Issue: 11 Vol. 51; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
AXIAL-VECTOR CURRENTS
C INVARIANCE
CHIRAL SYMMETRY
CONSTRAINTS
CORRECTIONS
G PARITY
PERTURBATION THEORY
QUANTIZATION
QUARK MODEL
SKYRME POTENTIAL
SOLITONS
VECTOR MESONS