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We discuss exact renormalization group (RG) in $R^2$-gravity using effective average action formalism. The truncated evolution equation for such a theory on De Sitter background leads to the system of nonperturbative RG equations for…

High Energy Physics - Theory · Physics 2009-09-17 A. A. Bytsenko , L. N. Granda , S. D. Odintsov

we investigate the exact renormalization group (RG) in Einstein gravity coupled to N-component scalar field, working in the effective average action formalism and background field method. The truncated evolution equation is obtained for the…

High Energy Physics - Theory · Physics 2009-11-11 L. N. Granda

We study the gauge dependence of the effective average action Gamma_k and Newtonian gravitational constant using the RG equation for Gamma_k. Then we truncate the space of action functionals to get a solution of this equation. We solve the…

High Energy Physics - Theory · Physics 2010-05-07 S. Falkenberg , S. D. Odintsov

We investigate the exact renormalization group (RG) in Einstein gravity coupled to N-component spinor field, working in the effective average action formalism and background field method. The truncated evolution equation is obtained for the…

High Energy Physics - Theory · Physics 2007-05-23 L. N. Granda

We study exact renormalization group (RG) in O(4) gauged supergravity using the effective average action formalism. The nonperturbative RG equations for cosmological and newtonian coupling constants are found. It is shown the existence of…

High Energy Physics - Theory · Physics 2009-09-17 L. N. Granda , S. D. Odintsov

The formulation of an exact functional renormalization group equation for Quantum Einstein Gravity necessitates that the underlying effective average action depends on two metrics, a dynamical metric giving the vacuum expectation value of…

High Energy Physics - Theory · Physics 2011-03-04 Elisa Manrique , Martin Reuter , Frank Saueressig

We explore the cosmological dynamics of an effective f(R) model constructed from a renormalisation group (RG) improvement of the Einstein--Hilbert action, using the non-perturbative beta functions of the exact renormalisation group…

General Relativity and Quantum Cosmology · Physics 2012-03-20 Mark Hindmarsh , Ippocratis D. Saltas

A new framework for exploiting information about the renormalization group (RG) behavior of gravity in a dynamical context is discussed. The Einstein-Hilbert action is RG-improved by replacing Newton's constant and the cosmological constant…

High Energy Physics - Theory · Physics 2007-05-23 M. Reuter , H. Weyer

We analyze the conceptual role of background independence in the application of the effective average action to quantum gravity. Insisting on a background independent renormalization group (RG) flow the coarse graining operation must be…

High Energy Physics - Theory · Physics 2009-10-29 Martin Reuter , Holger Weyer

We investigate the gauge symmetry and gauge fixing dependence properties of the effective average action for quantum gravity models of general form. Using the background field formalism and the standard BRST-based arguments, one can…

High Energy Physics - Theory · Physics 2020-03-11 Vítor F. Barra , Peter M. Lavrov , Eduardo Antonio dos Reis , Tibério de Paula Netto , Ilya L. Shapiro

Following an approach of Matarrese and Pietroni, we derive the functional renormalization group (RG) flow of the effective action of cosmological large-scale structures. Perturbative solutions of this RG flow equation are shown to be…

Cosmology and Nongalactic Astrophysics · Physics 2017-02-01 Stefan Floerchinger , Mathias Garny , Nikolaos Tetradis , Urs Achim Wiedemann

The renormalization group (RG) properties of quantum gravity are explored, using the vielbein and the spin connection as the fundamental field variables. The scale dependent effective action is required to be invariant both under space time…

High Energy Physics - Theory · Physics 2015-05-20 J. -E. Daum , M. Reuter

The exact renormalization group equation for pure quantum gravity is derived for an arbitrary gauge parameter in the space-time dimension $d=4$. This equation is given by a non-linear functional differential equation for the effective…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Wataru Souma

We construct a new version of the effective average action together with its flow equation. The construction entails in particular the consistency of fluctuation field and background field equations of motion, even for finite…

High Energy Physics - Theory · Physics 2018-05-30 Stefan Lippoldt

We use the functional renormalization group equation for the effective average action to study the fixed point structure of gravity-fermion systems on a curved background spacetime. We approximate the effective average action by the…

High Energy Physics - Theory · Physics 2020-10-06 Jesse Daas , Wouter Oosters , Frank Saueressig , Jian Wang

We present a truncation scheme of the effective average action approach of the nonperturbative renormalization group which allows for an accurate description of the critical regime as well as of correlation functions at finite momenta. The…

Statistical Mechanics · Physics 2013-01-17 N. Hasselmann

We apply the renormalization group (RG) method to examine the observable scaling properties in Newtonian cosmology. The original scaling properties of the equations of motion in our model are modified for averaged observables on constant…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Y. Sota , T. Kobayashi , K. Maeda , T. Kurokawa , M. Morikawa , A. Nakamichi

A new exact renormalization group equation for the effective average action of Euclidean quantum gravity is constructed. It is formulated in terms of the component fields appearing in the transverse-traceless decomposition of the metric. It…

High Energy Physics - Theory · Physics 2009-11-07 O. Lauscher , M. Reuter

We use the functional renormalization group equation for quantum gravity to construct a non-perturbative flow equation for modified gravity theories of the form $S = \int d^dx \sqrt{g} f(R)$. Based on this equation we show that certain…

High Energy Physics - Theory · Physics 2008-11-26 Pedro F. Machado , Frank Saueressig

The gauge dependence of effective average action in the functional renormalization group is studied. The effective average action is considered as non-perturbative solution to the flow equation which is the basic equation of the method. It…

High Energy Physics - Theory · Physics 2021-01-05 Peter M. Lavrov
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