Discrete finite nilpotent Lie analogs: New models for unified gauge field theory

Journal Article · Sat Jul 01 00:00:00 EDT 1978 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.523846· OSTI ID:6928729

Kornacker, K

To each finite dimensional real Lie algebra with integer structure constants there corresponds a countable family of discrete finite nilpotent Lie analogs. Each finite Lie analog maps exponentially onto a finite unipotent group G, and is isomorphic to the Lie algebra of G. Reformulation of quantum field theory in discrete finite form, utilizing nilpotent Lie analogs, should elminate all divergence problems even though some non-Abelian gauge symmetry may not be spontaneously broken. Preliminary results in the new finite representation theory indicate that a natural hierarchy of spontaneously broken symmetries can arise from a single unbroken non-Abelian gauge symmetry, and suggest the possibility of a new unified group theoretic interpretation for hadron colors and flavors.

• Research Organization: Department of Biophysics, The Ohio State University, Columbus, Ohio 43210
• OSTI ID: 6928729
• Journal Information: J. Math. Phys. (N.Y.); (United States), Vol. 19:7
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
QUANTUM FIELD THEORY
LIE GROUPS
UNIFIED GAUGE MODELS
ALGEBRA
COLOR MODEL
FLAVOR MODEL
HADRONS
SYMMETRY BREAKING
COMPOSITE MODELS
ELEMENTARY PARTICLES
FIELD THEORIES
MATHEMATICAL MODELS
MATHEMATICS
PARTICLE MODELS
QUARK MODEL
SYMMETRY GROUPS
645400* - High Energy Physics- Field Theory