Covering groups and the standard elementary particle model

Covering Groups of the Gauge Group for the Standard Elementary Particle Model

We determine all Lie groups compatible with the gauge structure of the Standard Elementary Particle Model (SM) and their representations. The groups are specified by congruence equations of quantum numbers. By comparison with the experimental results, we single out one Lie group GSM and show that this choice implies certain old and new correlations between the quantum numbers of the SM quantum ...

MPI-PhT/97-44 COVERING GROUPS OF THE GAUGE GROUP FOR THE STANDARD ELEMENTARY PARTICLE MODEL

We determine all Lie groups compatible with the gauge structure of the Standard Elementary Particle Model (SM) and their representations. The groups are speciied by congruence equations of quantum numbers. By comparison with the experimental results, we single out one Lie group G SM and show that this choice implies certain old and new correlations between the quantum numbers of the SM quantum ...

Schur-Pair Property and the Structure of Varietal Covering Groups

Generalized Covering Groups and Direct Limits

What is an elementary particle in the first-quantized Standard Model?

The purpose of this paper is to elucidate the concept of an elementary particle in the first-quantized Standard Model. The emphasis is upon the mathematical structures involved, rather than numerical computations. After the general concepts and philosophical outlook are introduced in the opening section, Section 2 addresses the question of what a free elementary particle is, paying particular a...