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Related papers: Weakly-Coupled Trace Anomaly Action for Gravity

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The trace anomaly and the cosmological constant problem are two typical breakdowns when applying the quantum principle to a general covariant or gravitational system. A quantum theory of spacetime reference frame is proposed and reviewed.…

General Relativity and Quantum Cosmology · Physics 2021-07-01 M. J. Luo

We review an approach developed in the last few years by our group in which GR is modified in the infrared, at an effective level, by nonlocal terms associated to a mass scale. We begin by recalling the notion of quantum effective action…

High Energy Physics - Theory · Physics 2016-06-29 Michele Maggiore

We elaborate on the structure of the conformal anomaly effective action up to 4-th order, in an expansion in the gravitational fluctuations $(h)$ of the background metric, in the flat spacetime limit. For this purpose we discuss the…

High Energy Physics - Theory · Physics 2021-09-01 Claudio Corianò , Matteo Maria Maglio , Dimosthenis Theofilopoulos

When quantizing Conformal Dilaton Gravity there is a conformal anomaly which starts at two loop order. This anomaly stems from evanescent operators on the divergent parts of the effective action. The general form of the finite counterterm…

High Energy Physics - Theory · Physics 2016-03-23 Enrique Álvarez , Sergio González-Martín , Carmelo P. Martín

The action for 2d dilatonic supergravity with dilaton coupled matter and dilaton multiplets is constructed. Trace anomaly and anomaly induced effective action (in components as well as in supersymmetric form) for matter supermultiplet on…

High Energy Physics - Theory · Physics 2009-09-17 Shin'ichi Nojiri , Sergei D. Odintsov

Gravity and general relativity are considered as an Effective Field Theory at low energies and macroscopic distances. The effective action of the conformal anomaly of light or massless quantum fields has significant effects on macroscopic…

High Energy Physics - Theory · Physics 2023-02-20 Emil Mottola

We show that the trace anomaly for gravitons calculated using the usual effective action formalism depends on the choice of gauge when the background spacetime is not a solution of the classical equation of motion, that is, when off-shell.…

High Energy Physics - Theory · Physics 2010-11-01 H. T. Cho , R. Kantowski

We elaborate on anomaly induced actions of the Wess-Zumino (WZ) form and their relation to the renormalized effective action, which is defined by an ordinary path integral over a conformal sector, in an external gravitational background. In…

High Energy Physics - Theory · Physics 2023-08-21 Claudio Corianò , Mario Cretì , Matteo Maria Maglio

We study a series of the Wess-Zumino actions obtained by repeatedly integrating conformal anomalies with respect to the conformal-factor field that appear at higher loops. We show that they arise as physical quantities required to make…

High Energy Physics - Theory · Physics 2020-12-30 Ken-ji Hamada

We consider the trace anomaly, which results from the integration of the massless conformal fermion field with the background of metric and antisymmetric tensor fields. The non-local terms in the anomaly-induced effective action do not…

High Energy Physics - Theory · Physics 2025-04-03 Ilya L. Shapiro

We calculate the integrated trace anomaly for a real spin-0 scalar field in six dimensions in a torsionless curved space without a boundary. We use a path integral approach for a corresponding supersymmetric quantum mechanical model. Weyl…

High Energy Physics - Theory · Physics 2009-11-07 Agapitos Hatzinikitas , Renato Portugal

We present a model in which the breackdown of conformal symmetry of a quantum stress-tensor due to the trace anomaly is related to a cosmological effect in a gravitational model. This is done by characterizing the traceless part of the…

High Energy Physics - Theory · Physics 2007-05-23 H. Salehi , Y. Bisabr

As a low energy effective field theory, classical General Relativity receives an infrared relevant modification from the conformal trace anomaly of the energy-momentum tensor of massless, or nearly massless, quantum fields. The local form…

General Relativity and Quantum Cosmology · Physics 2018-10-04 Emil Mottola

We explore and discuss corrections to the Newton potential from the quantum effects of conformal matter fields. In this special case, one can compare different approaches, including that of effective quantum gravity and another, based on…

High Energy Physics - Theory · Physics 2026-05-08 Riccardo Fecchio , Ilya L. Shapiro

The Effective Average Action is a form of effective action which depends on a cutoff scale suppressing the contribution of low momentum modes in the functional integral. It reduces to the ordinary effective action when the cutoff scale goes…

High Energy Physics - Theory · Physics 2019-05-22 Tim R. Morris , Roberto Percacci

The derivation of the conformal anomaly for dilaton coupled electromagnetic field in curved space is presented. The models of this sort naturally appear in stringy gravity or after spherical reduction of multidimensional Einstein-Maxwell…

High Energy Physics - Theory · Physics 2009-09-17 S. Nojiri , S. D. Odintsov

Effective field theories include contact-range interactions (or counterterms) for two reasons: representing the unknown short-range physics in a model independent manner and ensuring the cutoff independence of observables. Both are…

Nuclear Theory · Physics 2026-04-14 Manuel Pavon Valderrama

We consider counterterms for odd dimensional holographic CFTs. These counterterms are derived by demanding cut-off independence of the CFT partition function on $S^d$ and $S^1 \times S^{d-1}$. The same choice of counterterms leads to a…

High Energy Physics - Theory · Physics 2013-05-30 Kallol Sen , Aninda Sinha , Nemani V. Suryanarayana

The existence of trace anomalies for conformally coupled quantum fields in curved spacetimes, despite the vanishing of the trace of the conformally invariant classical stress-energy tensor, was firmly established in the 1970's, and…

General Relativity and Quantum Cosmology · Physics 2018-08-30 James M. Bardeen

The trace anomaly term in the low energy chiral Lagrangian is established by deriving a low energy theorem for $\gamma \gamma \rightarrow \pi^0\pi^0$ scattering. It contributes to $\sigma(\gamma \gamma \rightarrow \pi^0\pi^0)$ in the same…

High Energy Physics - Phenomenology · Physics 2008-02-03 Michael S. Chanowitz