122 citations · 388 across the 7 of their papers we have counts for
7 papers
Covariant Perturbation Theory (IV). Third Order in the Curvature
A. O. Barvinsky, Yu. V. Gusev, V. V. Zhytnikov +1
The trace of the heat kernel and the one-loop effective action for the generic differential operator are calculated to third order in the background curvatures: the Riemann curvatu…
Partial summation of the nonlocal expansion for the gravitational effective action in 4 dimensions
A. G. Mirzabekian, G. A. Vilkovisky, V. V. Zhytnikov
The vacuum action for the gravitational field admits a known expansion in powers of the Ricci tensor with nonlocal operator coefficients (form factors). We show that going over to…
Conformal Decomposition of the Effective Action and Covariant Curvature Expansion
A. O. Barvinsky, A. G. Mirzabekian, V. V. Zhytnikov
The class of effective actions exactly reproducing the conformal anomaly in 4D is considered. It is demonstrated that the freedom within this class can be fixed by the choice of th…
The one-loop effective action and trace anomaly in four dimensions
A. O. Barvinsky, Yu. V. Gusev, G. A. Vilkovisky +1
The one-loop effective action for a generic set of quantum fields is calculared as a nonlocal expansion in powers of the curvatures (field strengths). This expansion is obtained to…
Asymptotic behaviours of the heat kernel in covariant perturbation theory
A. O. Barvinsky, Yu. V. Gusev, G. A. Vilkovisky +1
The trace of the heat kernel is expanded in a basis of nonlocal curvature invariants of th order. The coefficients of this expansion (the nonlocal form factors) are calculated t…
The basis of nonlocal curvature invariants in quantum gravity theory
A. O. Barvinsky, Yu. V. Gusev, G. A. Vilkovisky +1
A complete basis of nonlocal invariants in quantum gravity theory is built to third order in spacetime curvature and matter-field strengths. The nonlocal identities are obtained wh…
Some Spinor-Curvature Identities
James M. Nester, Roh Suan Tung, Vadim V. Zhytnikov
We describe a class of spinor-curvature identities which exist for Riemannian or Riemann-Cartan geometries. Each identity relates an expression quadratic in the covariant derivativ…