Are the Dirac particles of the Standard Model dynamically confined states in a higher-dimensional flat space?

Details Are the Dirac particles of the Standard Model dynamically confined states in a higher-dimensional flat space? Are the Dirac particles of the Standard Model dynamically confined states in a higher-dimensional flat space?

1999-04-02

arxiv.org/abs/hep-ph/9904218v1

Can.J.Phys. 77 (1999) 197-210

Physics

High Energy Physics

High Energy Physics - Phenomenology

22 pages, 2 figures, sequel to Nuclear Pnysics B 523 (1998) 232-242

Scientific paper

10.1139/cjp-77-3-197

Some time ago Rubakov and Shaposhnikov (RS) suggested that elementary particles might be excitations trapped on a soliton in a flat higher dimensional space. They gave as an example phi-4 theory in five dimensions with a bosonic excitation on a domain wall in the fifth dimension. They also trapped a chiral Dirac particle on the domain wall. We extend the RS field equation for the Dirac particle to eight flat dimensions (M4 X R4) and replace the one-dimensional domain-wall potential with a harmonic- oscillator "potential" in the four higher dimensions. This generates bound states in approximate SU(4) X SU(2) representations. These representations have corresponding "orbital" times "spin" quantum numbers and bear some resemblance to the quarks and leptons of the Standard Model. Soliton-theory suggests that the harmonic-oscillator potential should rise only a finite amount. This will then limit the number of generations in a natural way. It will also mean that particles with sufficient energy might escape the well altogether and propagate freely in the higher dimensions. It may be worth- while to search for a soliton (instanton?) which can confine Dirac particles in the manner of the harmonic-oscillator potential.

Affiliated with

Also associated with

No associations

Rating

Are the Dirac particles of the Standard Model dynamically confined states in a higher-dimensional flat space? does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Are the Dirac particles of the Standard Model dynamically confined states in a higher-dimensional flat space?, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Are the Dirac particles of the Standard Model dynamically confined states in a higher-dimensional flat space? will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-110130