156 citations · 195 across the 8 of their papers we have counts for
8 papers
On the Renormalization in Conformal Quantum Gravity
Ioseph L. Buchbinder, Petr M. Lavrov, Thomas M. Sangy +1
One-loop divergences in classically conformal theory in curved spacetime is a nontrivial issue if the theory under consideration possesses gauge invariance. In this case, quantizat…
Reflection positivity in a higher-derivative model with physical bound states of ghosts
Manuel Asorey, Gastão Krein, Miguel Pardina +1
The inclusion of higher derivatives is a necessary condition for a renormalizable or superrenormalizable local theory of quantum gravity. On the other hand, higher derivatives lead…
On the total derivative divergence for a nonminimal vector operator
Thomas M. Sangy, Tibério de Paula Netto, Ilya L. Shapiro
We report on the calculation of the total derivative term in the divergence of vacuum effective action for the nonminimal vector field operator in a curved space backgroun…
Derivative expansion in a two-scalar field theory
Alícia G. Borges, Ilya L. Shapiro
The derivative expansion of the effective action is considered in the model with two interacting real scalar fields in curved spacetime. Using the functional approach and local mom…
-adic superspaces and Frobenius
A. Schwarz, I. Shapiro
The notion of a -adic superspace is introduced and used to give a transparent construction of the Frobenius map on -adic cohomology of a smooth projective variety over $\zp$…
Renormalization Group and Decoupling in Curved Space
E. V. Gorbar, I. L. Shapiro
It is well known that the renormalization group equations depend on the scale where they are applied. This phenomenon is especially relevant for the massive fields in curved space,…