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We investigate the Exact Renormalization Group (ERG) description of ($Z_2$ invariant) one-component scalar field theory, in the approximation in which all momentum dependence is discarded in the effective vertices. In this context we show…

高能物理 - 理论 · 物理学 2009-10-28 Tim R. Morris

Recent results based on renormalization group approaches to Quantum Gravity suggest that the Newton's and cosmological constants should be treated as dynamical variables whose evolution depend on the characteristic energy scale of the…

广义相对论与量子宇宙学 · 物理学 2018-05-08 S. J. Gabriele Gionti

In the context of the Renormalization Group (RG) for gravity I discuss the role of field rescalings and their relation to choices of units. I concentrate on a simple Higgs model coupled to gravity, where natural choices of units can be…

高能物理 - 理论 · 物理学 2008-11-26 Roberto Percacci

Einstein gravity coupled to a massive skew symmetric field F_{\mu\nu\lambda} leads to an acceleration law that modifies the Newtonian law of attraction between particles. We use a framework of non-perturbative renormalization group…

天体物理学 · 物理学 2009-11-10 J. W. Moffat

A broad class of generalized Einstein's gravity can be cast into Einstein's gravity with a minimally coupled scalar field using suitable conformal rescaling of the metric. Using this conformal equivalence between the theories, we derive the…

广义相对论与量子宇宙学 · 物理学 2011-09-30 J. Hwang

The renormalization group method has been adapted to the analysis of the long-time behavior of non-linear partial differential equation and has demonstrated its power in the study of critical phenomena of gravitational collapse. In the…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Osamu Iguchi , Akio Hosoya , Tatsuhiko Koike

We develop a renormalization-group formalism for non-renormalizable theories and apply it to Einstein gravity theory coupled to a scalar field with the Lagrangian $L=\sqrt{g} [R U(\phi)-{1/2} G(\phi) g^{\mu\nu} \partial_{\mu}\phi…

广义相对论与量子宇宙学 · 物理学 2011-07-19 A. O. Barvinsky , A. Yu. Kamenshchik , I. P. Karmazin

The exact renormalization group equation for pure quantum gravity is used to derive the non-perturbative $\Fbeta$-functions for the dimensionless Newton constant and cosmological constant on the theory space spanned by the Einstein-Hilbert…

高能物理 - 理论 · 物理学 2010-04-06 M. Reuter , F. Saueressig

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…

高能物理 - 理论 · 物理学 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…

广义相对论与量子宇宙学 · 物理学 2012-03-20 Mark Hindmarsh , Ippocratis D. Saltas

We briefly outline several main results concerning various new physically relevant features found in gravity -- both ordinary Einstein or $f(R)=R+R^2$ gravity in the first-order formalism, coupled to a special kind of nonlinear…

高能物理 - 理论 · 物理学 2013-11-15 Eduardo Guendelman , Alexander Kaganovich , Emil Nissimov , Svetlana Pacheva

We present numerical renormalization group (NRG) calculations for a single-impurity Anderson model with a linear coupling to a local phonon mode. We calculate dynamical response functions, spectral densities, dynamic charge and spin…

强关联电子 · 物理学 2009-11-07 A. Hewson , D. Meyer

We use a functional renormalization group equation tailored to the Arnowitt-Deser-Misner formulation of gravity to study the scale-dependence of Newton's coupling and the cosmological constant on a background spacetime with topology…

高能物理 - 理论 · 物理学 2017-09-13 W. B. Houthoff , A. Kurov , F. Saueressig

In this paper, we explore an idea of having Newton's constant change its value depending on the curvature scale involved. Such modification leads to a particular scalar-tensor gravity theory, with the Lagrangian derived from renormalization…

宇宙学与河外天体物理 · 物理学 2012-09-05 Andrei V. Frolov , Jun-Qi Guo

We investigate Einstein theories of gravity, coupled to a scalar field \vphi and point-like matter, which are characterized by a scalar field-dependent matter coupling function e^{H(\vphi)}. We show that under mild constraints on the form…

广义相对论与量子宇宙学 · 物理学 2014-11-18 M. Cadoni , M. Casula

The field theoretic renormalization group (RG) is applied to the model of a near-equilibrium fluid coupled to a scalar field (like temperature or density of an impurity) which is active, that is, influencing the dynamics of the fluid…

统计力学 · 物理学 2021-09-15 N. V. Antonov , M. M. Kostenko

A new framework to perturbative quantum gravity is proposed following the geometry of nonholonomic distributions on (pseudo) Riemannian manifolds. There are considered such distributions and adapted connections, also completely defined by a…

广义相对论与量子宇宙学 · 物理学 2014-11-18 Sergiu I. Vacaru

In a class of generalized Einstein's gravity theories we derive the equations and general asymptotic solutions describing the evolution of the perturbed universe in unified forms. Our gravity theory considers general couplings between the…

广义相对论与量子宇宙学 · 物理学 2009-10-28 J. Hwang

Motivated by the conjecture that the cosmological constant problem could be solved by strong quantum effects in the infrared we use the exact flow equation of Quantum Einstein Gravity to determine the renormalization group behavior of a…

高能物理 - 理论 · 物理学 2009-11-07 M. Reuter , F. Saueressig

The Wilsonian renormalization group (RG) requires Euclidean signature. The conformal factor of the metric then has a wrong-sign kinetic term, which has a profound effect on its RG properties. In particular around the Gaussian fixed point,…

高能物理 - 理论 · 物理学 2018-12-04 Tim R. Morris