English

Prediction for Nonabelian Fine Structure Constants from Multicriticality

High Energy Physics - Phenomenology 2015-06-25 v1

Abstract

In developing a model for predicting the nonabelian gauge coupling constants we argue for the phenomenological validity of a ``principle of multiple point criticality''. This is supplemented with the assumption of an ``(grand) anti-unified'' gauge group SMGNgen.U(1)Ngen.×SU(2)Ngen.×SU(3)Ngen.SMG^{N_{gen.}}\sim U(1)^{N_{gen.}}\times SU(2)^{N_{gen.}}\times SU(3)^{N_{gen.}} that, at the Planck scale, breaks down to the diagonal subgroup. Here NgenN_{gen} is the number of generations which is assumed to be 3. According to this ``multiple point criticality principle'', the Planck scale experimental couplings correspond to multiple point couplings of the bulk phase transition of a lattice gauge theory (with gauge group SMGNgen.SMG^{N_{gen.}}). Predictions from this principle agree with running nonabelian couplings (after an extrapolation to the Planck scale using the assumption of a ``desert'') to an accuracy of 7\%. As an explanation for the existence of the multiple point, a speculative model using a glassy lattice gauge theory is presented.

Keywords

Cite

@article{arxiv.hep-ph/9311321,
  title  = {Prediction for Nonabelian Fine Structure Constants from Multicriticality},
  author = {D. L. Bennett H. B. Nielsen},
  journal= {arXiv preprint arXiv:hep-ph/9311321},
  year   = {2015}
}

Comments

42, NBI-HE-93-22

R2 v1 2026-07-22T14:19:10.154Z