122 citations · 388 across the 7 of their papers we have counts for
3 papers · 1 filter
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…
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…