activity
19952025
most citedOne loop renormalization of the four-dimensional theory for quantum dilaton gravity.

78 citations · 232 across the 11 of their papers we have counts for

collaborators

11 papers

physics.gen-ph2025

On the new way of symmetry breaking in scalar QED and the one-loop renormalization

Lucas Ducastelo de C. C. Lima, Ilya L. Shapiro

It is well known that single real scalar field does not allow gauge coupling to the Abelian vector field. Using the complex scalar model as a starting point, we construct the Abeli…

hep-th2025

Local conformal symmetry and anomalies with antisymmetric tensor field

Ilya L. Shapiro

We consider the trace anomaly, which results from the integration of the massless conformal fermion field with the background of metric and antisymmetric tensor fields. The non-loc…

hep-th2024

On the renormalization of massive vector field theory coupled to scalar in curved space-time

Ioseph L. Buchbinder, Públio Rwany B. R. do Vale, Guilherme Y. Oyadomari +1

We consider the renormalization of massive vector field interacting with charged scalar field in curved spacetime. Starting with the theory minimally coupled to external gravity an…

hep-th2023

Antisymmetric Tensor Field and Cheshire Cat Smile of the Local Conformal Symmetry

Ilya L. Shapiro

The conformal version of the antisymmetric second-order tensor field in four spacetime dimensions does not have gauge invariance extensively discussed in the literature for more th…

gr-qc2012★ 25 cited

Dirac fields, torsion and Barbero-Immirzi parameter in Cosmology

G. de Berredo-Peixoto, L. Freidel, I. L. Shapiro +1

We consider cosmological solution for Einstein gravity with massive fermions with a four-fermion coupling, which emerges from the Holst action and is related to the Barbero-Immirzi…

gr-qc2001★ 39 cited

1-Loop Divergences of Quantum Gravity Using Conformal Parametrization

G. de Berredo-Peixoto, A. B. Penna-Firme, I. L. Shapiro

We calculate the one-loop divergences for quantum gravity with cosmological constant, using new parametrization of quantum metric. The conformal factor of the metric is treated as…

hep-th2001★ 13 cited

On the high derivative fermionic operator and trace anomaly

G. de Berredo-Peixoto, I. L. Shapiro

We construct a new example of the high derivative four-dimensional conformal operator. This operator acts on fermions, and its contribution to the trace anomaly has opposite sign,…

hep-th1999★ 13 cited

Scalar QED -Corrections to the Coulomb Potential

J. A. Helayel-Neto, A. Penna-Firme, I. L. Shapiro

The leading long-distance 1-loop quantum corrections to the Coulomb potential are derived for scalar QED and their gauge-independence is explicitly checked. The potential is obtain…

hep-th1999★ 30 cited

On the Consistency of a Fermion-Torsion Effective Theory

G. de Berredo-Peixoto, J. A. Helayel-Neto, I. L. Shapiro

We discuss the possibility to construct an effective quantum field theory for an axial vector coupled to a Dirac spinor field. A massive axial vector describes antisymmetric torsio…

hep-th1997★ 34 cited

Renormalization group study of the higher derivative conformal scalar model

J. Acacio de Barros, Ilya L. Shapiro

The second alternative conformal limit of the recently proposed general higher derivative dilaton quantum theory in curved spacetime is explored. In this version of the theory the…

hep-th1995★ 78 cited

One loop renormalization of the four-dimensional theory for quantum dilaton gravity.

I. L. Shapiro, Hiroyuki Takata

We study the one loop renormalization in the most general metric-dilaton theory with the second derivative terms only. The general theory can be divided into two classes, models of…