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Related papers: Thermal RG Flow of AS Quantum Gravity

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Due to its construction, the nonperturbative renormalization group (RG) evolution of the constant, field-independent term (which is constant with respect to field variations but depends on the RG scale $k$) requires special care within the…

High Energy Physics - Theory · Physics 2022-04-01 I. G. Marian , U. D. Jentschura , N. Defenu , A. Trombettoni , I. Nandori

According to the asymptotic safety conjecture, gravity is a renormalizable quantum field theory whose continuum limit is defined by an interacting fixed point of the renormalization group flow. In these proceedings we review some…

General Relativity and Quantum Cosmology · Physics 2019-08-13 Alessia Platania

The low temperature phase diagram of 1D weakly disordered quantum systems like charge or spin density waves and Luttinger liquids is studied by a \emph{full finite temperature} renormalization group (RG) calculation. For vanishing quantum…

Strongly Correlated Electrons · Physics 2008-06-24 Andreas Glatz , Thomas Nattermann

The Asymptotically Safe Gravity provides a framework for the description of gravity from the trans-Planckian regime to cosmological scales. According to this scenario, the cosmological constant and Newton's coupling are functions of the…

General Relativity and Quantum Cosmology · Physics 2018-03-14 Alfio Bonanno , Gabriele Gionti , Alessia Platania

The asymptotic safety scenario of Quantum Einstein Gravity, the quantum field theory of the spacetime metric, is reviewed and it is argued that the theory is likely to be nonperturbatively renormalizable. It is also shown that asymptotic…

High Energy Physics - Theory · Physics 2007-05-23 O. Lauscher , M. Reuter

We analyze the statistical mechanics of a free-standing quantum crystalline membrane within the framework of a systematic perturbative renormalization group (RG). A power-counting analysis shows that the leading singularities of correlation…

Statistical Mechanics · Physics 2022-06-01 Achille Mauri , Mikhail I. Katsnelson

We consider a multiplicatively renormalizable higher-derivative scalar theory which is used as an effective theory for quantum gravity at large distances (infrared phase of quantum gravity). The asymptotic regimes (in particular, the…

High Energy Physics - Theory · Physics 2010-04-06 E. Elizalde , S. D. Odintsov , I. L. Shapiro

Assuming that Quantum Einstein Gravity (QEG) is the correct theory of gravity on all length scales we use analytical results from nonperturbative renormalization group (RG) equations as well as experimental input in order to characterize…

High Energy Physics - Theory · Physics 2009-09-24 M. Reuter , H. Weyer

The Thermal Renormalization Group can be employed to study the dynamics of $T\neq 0$ Quantum Field Theories close to second order phase transitions, where neither resummed perturbation theory nor first principle lattice simulations can be…

High Energy Physics - Phenomenology · Physics 2009-09-25 Massimo Pietroni

Nonassociative modifications of general relativity, GR, defined by star products with R-flux deformations in string gravity consist of an important subclass of modified gravity theories, MGTs. A longstanding criticism for elaborating…

High Energy Physics - Theory · Physics 2024-10-10 S. Vacaru

Simple interpolation formulas are proposed for the description of the renormalization group (RG) scale dependences of the gravitational couplings in the framework of the 2-parameters Einstein-Hilbert (EH) theory of gravity and applied to a…

General Relativity and Quantum Cosmology · Physics 2022-11-28 S. Nagy , K. Sailer

We revisit the two-dimensional quantum Ising model by computing renormalization group flows close to its quantum critical point. The low but finite temperature regime in the vicinity of the quantum critical point is squashed between two…

Statistical Mechanics · Physics 2014-11-20 P. Strack , P. Jakubczyk

We discuss the effect of wave function renormalization (WFR) in asymptotically safe gravity. We show that there are two WFR-invariant quantities, and the renormalization (RG) equations may be written entirely in terms of these quantities.…

High Energy Physics - Theory · Physics 2025-02-04 Hikaru Kawai , Nobuyoshi Ohta

We use the Wetterich-equation to study the renormalization group flow of $f(R)$-gravity in a three-dimensional, conformally reduced setting. Building on the exact heat kernel for maximally symmetric spaces, we obtain a partial differential…

High Energy Physics - Theory · Physics 2015-06-18 Maximilian Demmel , Frank Saueressig , Omar Zanusso

The renormalization group (RG) approach to cosmology is an efficient method to study the possible evolution of the cosmological parameters from the point of view of quantum field theory in curved space-time. In this work we continue our…

High Energy Physics - Phenomenology · Physics 2010-11-19 Ilya L. Shapiro , Joan Sola , Hrvoje Stefancic

Utilizing the holographic technique, we investigate how the entanglement entropy evolves along the RG flow. After introducing a new generalized temperature which satisfies the thermodynamics-like law even in the IR regime, we find that the…

High Energy Physics - Theory · Physics 2017-05-31 Ki-Seok Kim , Chanyong Park

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…

General Relativity and Quantum Cosmology · Physics 2018-05-08 S. J. Gabriele Gionti

We study quantum effects in higher curvature extensions of general relativity using the functional renormalisation group. New flow equations are derived for general classes of models involving Ricci scalar, Ricci tensor, and Riemann tensor…

High Energy Physics - Theory · Physics 2023-07-19 Yannick Kluth , Daniel Litim

This work comprises a study of the thermodynamic behavior of modified $f(\bar{R},\bar{T})$ gravity, which had been developed based on a non-canonical theory known as K-essence theory. In this development, we use the Dirac-Born-Infeld (DBI)…

General Relativity and Quantum Cosmology · Physics 2024-10-14 Arijit Panda , Goutam Manna , Saibal Ray , Maxim Khlopov , Praveen Kumar Dhankar

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