Prediction for Nonabelian Fine Structure Constants from Multicriticality

D. L. Bennett H. B. Nielsen

doi:10.1142/S0217751X94002090

paper

Prediction for Nonabelian Fine Structure Constants from Multicriticality

arXiv:hep-ph/9311321 · doi:10.1142/S0217751X94002090

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 $S M G^{N_{g e n .}} \sim U (1)^{N_{g e n .}} \times S U (2)^{N_{g e n .}} \times S U (3)^{N_{g e n .}}$ that, at the Planck scale, breaks down to the diagonal subgroup. Here $N_{g e n}$ 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 $S M G^{N_{g e n .}}$ ). 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.

42, NBI-HE-93-22

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Seeking Inspiration from the Standard Model in Order to Go Beyond it

Prediction for Nonabelian Fine Structure Constants from Multicriticality

Abstract

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