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We study renormalization group flow in a non-local version of quantum electrodynamics (QED). We determine the regime in which the theory flows to a local theory in the infrared and study a possible UV completion of four-dimensional QED. In…

高能物理 - 理论 · 物理学 2020-08-26 Matthew Heydeman , Christian B. Jepsen , Ziming Ji , Amos Yarom

Proper time functional flow equations have garnered significant attention in recent years, as they are particularly suitable in analyzing non-perturbative contexts. By resorting to this flow, we investigate the regulator and gauge…

高能物理 - 理论 · 物理学 2025-04-11 Alfio Bonanno , Giovanni Oglialoro , Dario Zappalà

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

We comment on Weinberg's interesting analysis of asymptotically safe inflation (arXiv:0911.3165). We find that even if the gravity theory exhibits an ultraviolet fixed point, the energy scale during inflation is way too low to drive the…

高能物理 - 理论 · 物理学 2011-01-06 S. -H. Henry Tye , Jiajun Xu

The $\mathcal{O}(\partial^2)$ background independent flow equations for conformally reduced gravity are shown to be equivalent to flow equations naturally adapted to scalar field theory with a wrong sign kinetic term. This sign change is…

高能物理 - 理论 · 物理学 2016-12-14 Juergen A. Dietz , Tim R. Morris , Zoe H. Slade

Renormalization factors are most easily extracted by going to the massless limit of the quantum field theory and retaining only a single momentum scale. We derive factors and renormalized Green functions to all orders in perturbation theory…

高能物理 - 理论 · 物理学 2008-11-26 R Delbourgo , A Kalloniatis , G Thompson

A class of asymptotically free scalar theories with O(N) symmetry, defined via the eigenpotentials of the Gaussian fixed point (Halpern-Huang directions), are investigated using renormalization group flow equations. Explicit solutions for…

高能物理 - 理论 · 物理学 2009-10-31 Holger Gies

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.…

高能物理 - 理论 · 物理学 2025-02-04 Hikaru Kawai , Nobuyoshi Ohta

We discuss the existence of Landau-pole-free renormalization group trajectories in the Minkowskian version of the Curci-Ferrari model as a function of a running parameter $q^2$ associated to the four-vector $q$ at which renormalization…

高能物理 - 唯象学 · 物理学 2025-03-19 Santiago Oribe , Marcela Peláez , Urko Reinosa

We discuss the renormalisation group flow of all essential couplings of quantum gravity coupled to a shift-symmetric scalar field at fourth order in the derivative expansion. We derive the global structure of the phase diagram, and identify…

高能物理 - 理论 · 物理学 2023-10-20 Benjamin Knorr

In this paper we introduce a perturbatively super-renormalizable and unitary theory of quantum gravity in any dimension D. The theory presents two entire functions, a.k.a. "form factors", and a finite number of local operators required by…

高能物理 - 理论 · 物理学 2014-01-23 Leonardo Modesto

The effective potential of the conformal factor in the effective average action approach to Quantum Einstein Gravity is discussed. It is shown, without invoking any truncation or other approximations, that if the theory has has a…

高能物理 - 理论 · 物理学 2011-08-17 Jan-Eric Daum , Martin Reuter

We study the functional renormalization group of a three-dimensional tensorial Group Field Theory (GFT) with gauge group SU(2). This model generates (generalized) lattice gauge theory amplitudes, and is known to be perturbatively…

高能物理 - 理论 · 物理学 2017-05-19 Sylvain Carrozza , Vincent Lahoche

We study the renormalization group flow of gravity coupled to scalar matter using functional renormalization group techniques. The novel feature is the inclusion of higher-derivative terms in the scalar propagator. Such terms give rise to…

高能物理 - 理论 · 物理学 2018-01-17 Daniel Becker , Chris Ripken , Frank Saueressig

This is an introduction to asymptotically safe quantum gravity, explaining the main idea of asymptotic safety and how it could solve the problem of predictivity in quantum gravity. In the first part, the concept of an asymptotically safe…

广义相对论与量子宇宙学 · 物理学 2020-03-03 Astrid Eichhorn

We investigate the consequences of combining swampland conjectures with the requirement of asymptotic safety. To this end, we explore the infrared regime of asymptotically safe gravity in the quadratic one-loop approximation, and we…

高能物理 - 理论 · 物理学 2021-10-20 Ivano Basile , Alessia Platania

The most general version of a renormalizable $d=4$ theory corresponding to a dimensionless higher-derivative scalar field model in curved spacetime is explored. The classical action of the theory contains $12$ independent functions, which…

高能物理 - 理论 · 物理学 2010-04-06 E. Elizalde , A. G. Jacksenaev , S. D. Odintsov , I. L. Shapiro

4D Einstein gravity coupled to scalars and abelian gauge fields in its 2-Killing vector reduction is shown to be quasi-renormalizable to all loop orders at the expense of introducing infinitely many essential couplings. The latter can be…

高能物理 - 理论 · 物理学 2015-06-26 M. Niedermaier

We investigate gravitational correlation functions in a curved background with the help of nonperturbative renormalization group methods. Beta functions for eleven couplings are derived, two of which correspond to running gauge parameters.…

高能物理 - 理论 · 物理学 2017-10-04 Benjamin Knorr , Stefan Lippoldt

Building on the recent derivation of a bare factorization theorem for the $b$-quark induced contribution to the $h\to\gamma\gamma$ decay amplitude based on soft-collinear effective theory, we derive the first renormalized factorization…

高能物理 - 唯象学 · 物理学 2021-02-03 Ze Long Liu , Bianka Mecaj , Matthias Neubert , Xing Wang