Extended spin symmetry and the standard model

Journal Article · Thu Dec 23 00:00:00 EST 2010 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3537845· OSTI ID:21511334

Besprosvany, J; Romero, R ^[1]

---

1. Instituto de Fisica, Universidad Nacional Autonoma de Mexico, Apartado Postal 20-364, Mexico 01000, Distrito Federal (Mexico)

We review unification ideas and explain the spin-extended model in this context. Its consideration is also motivated by the standard-model puzzles. With the aim of constructing a common description of discrete degrees of freedom, as spin and gauge quantum numbers, the model departs from q-bits and generalized Hilbert spaces. Physical requirements reduce the space to one that is represented by matrices. The classification of the representations is performed through Clifford algebras, with its generators associated with Lorentz and scalar symmetries. We study a reduced space with up to two spinor elements within a matrix direct product. At given dimension, the demand that Lorentz symmetry be maintained, determines the scalar symmetries, which connect to vector-and-chiral gauge-interacting fields; we review the standard-model information in each dimension. We obtain fermions and bosons, with matter fields in the fundamental representation, radiation fields in the adjoint, and scalar particles with the Higgs quantum numbers. We relate the fields' representation in such spaces to the quantum-field-theory one, and the Lagrangian. The model provides a coupling-constant definition.

• OSTI ID: 21511334
• Journal Information: AIP Conference Proceedings, Vol. 1323, Issue 1; Conference: Symposium on symmetries in nature in memoriam Marcos Moshinsky, Cuernavaca (Mexico), 7-14 Aug 2010; Other Information: DOI: 10.1063/1.3537845; (c) 2010 American Institute of Physics; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CHIRALITY
CLASSIFICATION
CLIFFORD ALGEBRA
COUPLING CONSTANTS
DEGREES OF FREEDOM
FERMIONS
HIGGS BOSONS
HIGGS MODEL
HILBERT SPACE
KALUZA-KLEIN THEORY
LAGRANGIAN FUNCTION
PARTICLES
QUANTUM FIELD THEORY
QUANTUM NUMBERS
SIMULATION
SPIN
STANDARD MODEL
SYMMETRY
ANGULAR MOMENTUM
BANACH SPACE
BOSONS
ELEMENTARY PARTICLES
FIELD THEORIES
FUNCTIONS
GRAND UNIFIED THEORY
MATHEMATICAL MODELS
MATHEMATICAL SPACE
PARTICLE MODELS
PARTICLE PROPERTIES
POSTULATED PARTICLES
SPACE
UNIFIED GAUGE MODELS
UNIFIED-FIELD THEORIES