Abstract
It has been suggested that higher-derivative gravity theories coupled to a scalar field with shift symmetry may be an important candidate for a quantum gravity. We show that this class of gravity theories are renormalizable in D=3 and 4 dimensions.
Highlights
It is one of the long standing problems in theoretical physics to construct quantum theory of gravity
In this paper we have studied whether higher derivative gravities coupled to a scalar field with shift symmetry in D = 3, 4, 5 dimensions are renormalizable or not
We have shown that the general theory isrenormalizable in D = 3 and 4, and is not renormalizable in D = 5
Summary
It is one of the long standing problems in theoretical physics to construct quantum theory of gravity. In this way it was suggested that the low-energy theory becomes Lorentzian but the theory at the short distance is described by a Riemannian (locally Euclidean) theory without the notion of time If true, this may be a resolution of the ghost problem in the above renormalizable theory of gravity. If the renormalizability is proved, it has to be seen whether the theory with these higher derivative terms reduces to desirable low-energy effective theory with the above property For this purpose, one has to study the renormalization group and examine the UV and IR fixed points. Gravity theories in more than five dimensions cannot be renormalizable in the usual perturbative approach around the flat Minkowski space even if we add further higher order curvature terms These are the dimensions we are most interested in
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
