226 citations · 272 across the 8 of their papers we have counts for
9 papers
Conformal anomaly in a vector field model with auxiliary scalar field
Samuel W. P. Oliveira, Públio Rwany B. R. do Vale, Ilya L. Shapiro
The conformal anomaly has well-known ambiguities related to the possible schemes of regularization and renormalization. In case of dimensional regularization, one of the options is…
Trace anomaly, effective approach, and gravitational potential
Riccardo Fecchio, Ilya L. Shapiro
We explore and discuss corrections to the Newton potential from the quantum effects of conformal matter fields. In this special case, one can compare different approaches, includin…
Trace anomaly for a conformal 2D vector field model
Samuel W. P. Oliveira, Ilya L. Shapiro
The trace anomaly and anomaly-induced action are evaluated for the two-dimensional vector theory with classical conformal symmetry. Implementing local conformal symmetry while…
Six-dimensional cosmological models with conformal extensions
Daniel Muller, Sergey G. Rubin, Ilya L. Shapiro +1
We consider the background cosmological solutions in the (six-dimensional) model with one time and five space coordinates. The theory of our interest has the action composed b…
Renormalizable quantum field theory in curved spacetime with external two-form field
Ioseph L. Buchbinder, Thomas M. Sangy, Ilya L. Shapiro
We argue that the renormalizability of interacting quantum field theory on the curved-space background with an additional external antisymmetric tensor (two-form) field requires no…
Bound states of massive complex ghosts in superrenormalizable quantum gravity theories\
Manuel Asorey, Gastao Krein, Miguel Pardina +1
One of the remarkable differences between renormalizable quantum gravity with four-derivative action and its superrenormalizable polynomial generalizations is that the latter admit…
Gauge invariant renormalizability of quantum gravity
P. M. Lavrov, I. L. Shapiro
The current understanding of renormalization in quantum gravity (QG) is based on the fact that UV divergences of effective actions in the covariant QG models are covariant local ex…
Some remarks on high derivative quantum gravity
M. Asorey, J. L. López, I. L. Shapiro
We analyze the perturbative implications of the most general high derivative approach to quantum gravity based on a diffeomorphism invariant local action. In particular, we conside…
Interaction of Low - Energy Induced Gravity with Quantized Matter and Phase Transition Induced by Curvature
I. L. Shapiro, G. Cognola
At high energy scale the only quantum effect of any asymptotic free and asymptotically conformal invariant GUT is the trace anomaly of the energy-momentum tensor. Anomaly generates…