A new principle of ‘schizosymmetry’ is proposed for interpreting superfield expansions over Grassmann parameters in quantum field theory. Symmetry generators Tphys, determining component field transformation properties, are allowed to depend on the grading via Tphys=Tℙe+T′ℙo, where ℙe and ℙo are the projections onto even and odd components in the Grassmann coordinates, respectively, and T and T′ correspond to different representations. Examples are given for both internal and space-time schizosymmetry. In the latter case, superfield expansions have components with both integer and half-integer spin. A program for the Lagrangian realization of schizosymmetry, including unified model building, is outlined.

Item Type:	Refereed Article
Research Division:	Physical Sciences
Research Group:	Atomic, Molecular, Nuclear, Particle and Plasma Physics
Research Field:	Particle Physics
Objective Division:	Expanding Knowledge
Objective Group:	Expanding Knowledge
Objective Field:	Expanding Knowledge in the Physical Sciences
Author:	Delbourgo, R (Professor Robert Delbourgo)
Author:	Jarvis, PD (Dr Peter Jarvis)
Author:	Warner, RC (Dr Roland Warner)
ID Code:	90677
Year Published:	1994
Web of Science® Times Cited:	3
Deposited By:	Mathematics and Physics
Deposited On:	2014-04-16
Last Modified:	2014-04-16
Downloads:	0