Abstract:
In this dissertation, the gauge couplings uni cation in AdS5 was studied. We considered the
Standard Model particles to propagate in the bulk of AdS5. The renormalization group equation
for the gauge coupling constants at one loop level were derived. We discussed the evolution of
inverse ne structure constants 1 which is related to the gauge coupling constants as well as
the evolution of sin2 W; where W is the weak mixing angle in the Weinberg-Salam theory of
the electroweak interaction.
We found logarithmic running for the gauge coupling constants as in the standard model instead
of power law running as in case of
at extra dimension models; this result therefore preserving
the perturbative uni cation of couplings. We showed that such theory can be compatible with
gauge couplings uni cation at high energy scales, these scales at which uni cation occurred
were found to be depend strongly on the cuto and on the number of Kaluza-Klein states.
Furthermore, we found that sin2 W at this high scales rises up to 0:74 in our model where its
value in QFT-subtraction scheme is equals to 0:23; which is a good indicator for the success of
our model.
These results may be very useful, at least from a model building perspective of gauge couplings
uni cation.
