Speaker
Description
The standard non-renormalizable action of quantum gravity without the contribution of matter
\begin{equation}
S = \frac{1}{2\kappa} \int d^4x \sqrt{-g} \left( R - 2\Lambda \right).
\end{equation}
is investigated.
Dimensional analysis, generally accepted in the study of continuous phase transitions in statistical physics, has obtained and the infrared-effective action for describing the theory at large distances was obtained. This action is renormalizable, the logarithmic dimension is $d=5+1$.
The quantum field renormalization group method is used to construct a $5+1-\epsilon$ expansion of the Green's functions of gravitons. In the one-loop approximation, a power-law behavior of the gravitational potential at large distances (the power differs from $1/r$ ) and an increase in effective masses are detected. All this is the result of taking into account the self-ineraction of massless gravitons in the IR region.
