Joint Theory Seminar: Holger Bech Nielsen
Title: Approximate SU(5) GUT, Fine Structure Constants
Abstract: We fit the three fine structure constants of the Standard Model with three, in first approximation theoretically
estimable parameters,
1) a ``unified
scale'',turning out not equal to the Planck scale and thus
only estimable by a very speculative story,
2) a ``number of layers'' being a priori the number of families, and
3) a unified coupling related to a critical coupling on a lattice.
So formally we postdict the three fine structure constants!
In the philosophy of our model there is a physical lattice theory with link variables taking values in a (or in the various) ``small''
representations of the Standard Model Group. We argue for that these representations function
in first approximation as were the theory a genuine SU(5) theory. Next we
take into account fluctuation of the gauge fields in the lattice and obtain a
correction to the a priori SU(5) approximation, because of course the
link fluctuations not corresponding any Standard model Lie algebra, but
only to the SU(5), do not exist.
The model is a development of our old anti-grand-unification model having as
its genuine gauge group, close to fundamental scale, a cross product of the
standard model group $S(U(3)\times U(2))$ with itself, there being one
Cartesian product factor for each family.
In these old works we included the hypotesis of ``multiple point criticallity
principle'' which here effectively means the coupling constants be critical
on the lattice. Counted relative to the Higgs scale we suggest the in our
sense ``unified scale'' (where the deviations between the inverse fine
structure constants deviate by quantum fluctuations being only from
standard model groups, not SU(5)) makes up the 2/3 th power of the Planck
scale relative to the Higgs scale, or better the top quark mass scale.
Student session: 13:10