Accession Number:

AD0271433

Title:

QUANTIZATION OF FIELDS WITH INFINITE-DIMENSIONAL INVARIANCE GROUPS. II. ANTICOMMUTING FIELDS

Descriptive Note:

Corporate Author:

NORTH CAROLINA UNIV CHAPEL HILL INST OF FIELD PHYSICS

Personal Author(s):

Report Date:

1961-11-01

Pagination or Media Count:

1.0

Abstract:

The Greens function approach to the definition of commutators for fields possessing infinite dimensional invariance groups is extended to the case of anticommuting fields. The discussion is restricted to fields which provide linear homogeneous or inhomogeneous representations of the group, a restriction which excludes no case of practical interest and facilitates setting up the formalism in a manifestly covariant way. Selfconsistency of supplementary conditions, Huygens principle and reciprocity relations are established just as for commuting fields. Careful attention must be paid to the ordering of anticommuting factors, particularly in the demonstration of the Poisson-Jacobi identity. The invariance properties of the Poisson bracket are investigated in detail and the notion of conditional invariant is introduced. A special class of conditional invariants called asymptotic invariants, which give a complete physical characterization of initial and final states of the dynamical system, is studied. Author

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Distribution Statement:

APPROVED FOR PUBLIC RELEASE