Single-particle contributions to certain classes of algebraic sum rules | Zendy

Eugene Golowich | Zendy

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Single-particle contributions to certain classes of algebraic sum rules

Author(s) -

Eugene Golowich

Publication year - 1975

Publication title -

physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields

Language(s) - English

Resource type - Journals

eISSN - 1089-4918

pISSN - 0556-2821

DOI - 10.1103/physrevd.11.589

Subject(s) - operator (biology) , commutation , physics , algebraic number , sum rule in quantum mechanics , charge (physics) , matrix (chemical analysis) , particle (ecology) , elementary particle , qcd sum rules , theoretical physics , algebra over a field , quantum mechanics , mathematics , pure mathematics , quark , mathematical analysis , quantum chromodynamics , biochemistry , chemistry , materials science , repressor , voltage , transcription factor , composite material , gene , oceanography , geology

Phenomenological and theoretical aspects of single-particle contributions to sum rules derived from commutation relations are considered. A derivation of sum rules arising from an equal-time axial-charge algebra evaluated between arbitrary single-particle states is given. A phenomenological analysis of these sum rules is carried out. An analogous derivation of sum rules associated with the sigma operator is shown to be invalid. An amended form for the sum rules is derived. Finally, we comment on relations obtained by taking vacuum-vacuum or vacuum-single-particle matrix elements of certain commutators.

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