Symmetries of ultralocal quantum field theories

Journal Article · Wed Jun 01 04:00:00 EDT 1977 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.523394· OSTI ID:7313064

DeFacio, B; Hammer, C L

The symmetries of the gradient free ultralocal model quantum field theories are studied. The internal parameter lambda introduced by J. R. Klauder is replaced by an r-component vector and used to obtain an r-vector ultralocal field operator phi-tilde. Then ultralocal many-body models with translational and rotational symmetry are set up by partitioning lambda ..-->.. into N, 3-d ''relative internal coordinates.'' Hartree-type 1/N limits are studied in this model and found to be accurate only if contributions from lambda ..-->.. >>0 are negligible. A brief sketch is given of how to produce more general U/sub N/ and pairing interaction ultralocal models.

• Research Organization: Ames Laboratory-ERDA, Iowa State University, Ames, Iowa 50011
• OSTI ID: 7313064
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 18:6; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
FIELD THEORIES
MATHEMATICAL MODELS
QUANTUM FIELD THEORY
SYMMETRY