Possible way of connecting the Grassmann variables and the number of generations
Journal Article
·
· Physical Review, D (Particles Fields); (United States)
- Research Center for High Energy Physics, School of Physics, University of Melbourne, Parkville, Victoria 3052 (Australia)
We construct a left-right symmetric model in which the number of generations is related to Grassmann variables. We introduce two sets of complex Grassmann variables ([theta][sub [ital q]][sup 1], [theta][sub [ital q]][sup 2]), ([theta][sub [ital l]][sup 1], [theta][sub [ital l]][sup 2]) and associate each variable with left- and right-handed quark and lepton fields, respectively. Expanding quark and lepton fields in powers of the Grassmann variables, we find that there are exactly three generations of quarks and leptons. Integrating out the Grassmann variables, we obtain phenomenologically acceptable fermion mass matrices.
- OSTI ID:
- 5410086
- Journal Information:
- Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 49:1; ISSN PRVDAQ; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
Similar Records
Identifying unconventional E[sub 6] models at [ital e][sup +][ital e][sup [minus]] colliders
Q-deformed Grassmann fields and the two-dimensional Ising model
SU(3){sub c}xSU(3){sub L}xU(1){sub X} models for {beta} arbitrary and families with mirror fermions
Journal Article
·
Fri Jul 01 00:00:00 EDT 1994
· Physical Review, D (Particles Fields); (United States)
·
OSTI ID:7233443
Q-deformed Grassmann fields and the two-dimensional Ising model
Journal Article
·
Thu Nov 30 23:00:00 EST 1995
· Theoretical and Mathematical Physics
·
OSTI ID:244158
SU(3){sub c}xSU(3){sub L}xU(1){sub X} models for {beta} arbitrary and families with mirror fermions
Journal Article
·
Mon Aug 01 00:00:00 EDT 2005
· Physical Review. D, Particles Fields
·
OSTI ID:20711270
Related Subjects
662120* -- General Theory of Particles & Fields-- Symmetry
Conservation Laws
Currents & Their Properties-- (1992-)
662210 -- Specific Theories & Interaction Models
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ELEMENTARY PARTICLES
FERMIONS
LEPTONS
LIE GROUPS
MATHEMATICAL MODELS
PARTICLE MODELS
POSTULATED PARTICLES
Pa
Particle Systematics-- Unified Theories & Models-- (1992-)
QUANTUM NUMBERS
QUARKS
SPECTRA
SU GROUPS
SU-2 GROUPS
SU-3 GROUPS
SYMMETRY
SYMMETRY GROUPS
U GROUPS
U-1 GROUPS
Conservation Laws
Currents & Their Properties-- (1992-)
662210 -- Specific Theories & Interaction Models
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ELEMENTARY PARTICLES
FERMIONS
LEPTONS
LIE GROUPS
MATHEMATICAL MODELS
PARTICLE MODELS
POSTULATED PARTICLES
Pa
Particle Systematics-- Unified Theories & Models-- (1992-)
QUANTUM NUMBERS
QUARKS
SPECTRA
SU GROUPS
SU-2 GROUPS
SU-3 GROUPS
SYMMETRY
SYMMETRY GROUPS
U GROUPS
U-1 GROUPS