Výsledky vyhledávání - "Zhytnikov, V. V."

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Covariant Perturbation Theory (IV). Third Order in the Curvature

Autor: Barvinsky, A. O., Gusev, Yu. V., Zhytnikov, V. V., Vilkovisky, G. A.

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 curvature, the commutator curvature and the potential. In the case of effecti

Externí odkaz: http://arxiv.org/abs/0911.1168

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Partial summation of the nonlocal expansion for the gravitational effective action in 4 dimensions

Autor: Mirzabekian, A. G., Vilkovisky, G. A., Zhytnikov, V. V.

Publikováno v: Phys.Lett. B369 (1996) 215-220

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 a different basis of curvature invariants makes possible a partial sum

Externí odkaz: http://arxiv.org/abs/hep-th/9510205

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Conformal Decomposition of the Effective Action and Covariant Curvature Expansion

Autor: Barvinsky, A. O., Mirzabekian, A. G., Zhytnikov, V. V.

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 the conformal gauge. The conformal invariant part of the generic one-loo

Externí odkaz: http://arxiv.org/abs/gr-qc/9510037

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The one-loop effective action and trace anomaly in four dimensions

Autor: Barvinsky, A. O., Gusev, Yu. V., Vilkovisky, G. A., Zhytnikov, V. V.

Publikováno v: Nucl.Phys. B439 (1995) 561-582

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 third order in the curvature. It is stressed that the covariant verti

Externí odkaz: http://arxiv.org/abs/hep-th/9404187

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The basis of nonlocal curvature invariants in quantum gravity theory

Autor: Barvinsky, A. O., Gusev, Yu. V., Vilkovisky, G. A., Zhytnikov, V. V.

Publikováno v: J.Math.Phys.35:3525-3542,1994

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 which reduce this basis for manifolds with dimensionality $2\omega<6$. T

Externí odkaz: http://arxiv.org/abs/gr-qc/9404061

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Asymptotic behaviours of the heat kernel in covariant perturbation theory

Autor: Barvinsky, A. O., Gusev, Yu. V., Vilkovisky, G. A., Zhytnikov, V. V.

Publikováno v: J.Math.Phys. 35 (1994) 3543-3559

The trace of the heat kernel is expanded in a basis of nonlocal curvature invariants of $N$th order. The coefficients of this expansion (the nonlocal form factors) are calculated to third order in the curvature inclusive. The early-time and late-time

Externí odkaz: http://arxiv.org/abs/gr-qc/9404063

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