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We calculate and analyse non-local gravitational form factors induced by quantum matter fields in curved two-dimensional space. The calculations are performed for scalars, spinors and massive vectors by means of the covariant heat kernel…

High Energy Physics - Theory · Physics 2018-05-23 Tiago G. Ribeiro , Ilya L. Shapiro , Omar Zanusso

We review past and present results on the non-local form-factors of the effective action of semiclassical gravity in two and four dimensions computed by means of a covariant expansion of the heat kernel up to the second order in the…

High Energy Physics - Theory · Physics 2019-03-05 Sebastián A. Franchino-Viñas , Tibério de Paula Netto , Omar Zanusso

A modified-gravity theory with a four-form field strength $F$, a variable gravitational coupling parameter $G(F)$, and a standard matter action is considered here. Maxwell and Einstein equations are now derived when including to action also…

General Relativity and Quantum Cosmology · Physics 2017-07-27 Matti Savelainen

We recalculate the beta functions of higher derivative gravity in four dimensions using the one--loop approximation to an Exact Renormalization Group Equation. We reproduce the beta functions of the dimensionless couplings that were known…

High Energy Physics - Theory · Physics 2008-11-26 A. Codello , R. Percacci

We define `third derivative' General Relativity, by promoting the integration measure in Einstein-Hilbert action to be an arbitrary $4$-form field strength. We project out its local fluctuations by coupling it to another $4$-form field…

High Energy Physics - Theory · Physics 2022-09-21 Nemanja Kaloper

Theories with an infinite number of derivatives are described by non-local Lagrangians for which the standard Hamiltonian formalism cannot be applied. Hamiltonians of special types of non-local theories can be constructed by means of the…

General Relativity and Quantum Cosmology · Physics 2020-06-16 Ivan Kolar , Anupam Mazumdar

It is known that the Einstein-Hilbert action with a positive cosmological constant can be represented as a perturbation of the SO(4,1) BF theory by a symmetry-breaking term quadratic in the B field. Introducing fermionic matter generates…

General Relativity and Quantum Cosmology · Physics 2015-06-25 A. Mikovic

In this report, we discuss a candidate mechanism through which one might address the various cosmological constant problems. We first observe that the renormalization of gravitational couplings (induced by integrating out various matter…

High Energy Physics - Theory · Physics 2010-03-17 Subodh P. Patil

Semiclassical contributions to the gravitational action include various terms with zero, two, and four derivatives of the metric as well as nonlocal form factors for these terms. Contributions to some of these terms could be confused with…

General Relativity and Quantum Cosmology · Physics 2022-08-10 E. V. Gorbar , Ilya L. Shapiro

We consider the most general action for gravity which is quadratic in curvature. In this case first order and second order formalisms are not equivalent. This framework is a good candidate for a unitary and renormalizable theory of the…

High Energy Physics - Theory · Physics 2017-12-22 Enrique Alvarez , Jesus Anero , Sergio Gonzalez-Martin

Stress-tensor deformations suggest a geometric origin of emergent gravity but are typically non-local for $d>2$. We couple a seed QFT to Einstein gravity with deformation parameter $\lambda$ and evaluate the gravitational path integral at…

High Energy Physics - Theory · Physics 2026-03-10 Yunfei Xie , Yun-Ze Li , Lixin Xu , Song He

We show that, in four-dimensional spacetimes with an arbitrary Einstein metric, with and without a cosmological constant, perturbative dynamical degrees of freedom in generic quadratic-curvature gravity can be decoupled into massless and…

General Relativity and Quantum Cosmology · Physics 2019-07-01 Yuki Niiyama , Yuya Nakamura , Ryosuke Zaimokuya , Yu Furuya , Yuuiti Sendouda

A four-vector field in flat space-time, satisfying a gauge-invariant set of second-order differential equations, is considered as a unified field. The model variational principle corresponds to the general covariance idea and gives rise to…

High Energy Physics - Theory · Physics 2008-11-26 Alexander A. Chernitskii

It is possible to describe a universal scalar field of time but not a universal coordinate of time and to attribute its non-geodesic alignment to the electromagnetic phenomena. A very surprising outcome is that not only mass generates…

General Physics · Physics 2025-09-29 Eytan H. Suchard

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…

High Energy Physics - Theory · Physics 2015-06-26 M. Niedermaier

We present a semiclassical framework in which stress-tensor deformations of a quantum field theory (QFT) reorganize into a gravitational action evaluated at a metric saddle. The deformed partition function can be written as a gravitational…

High Energy Physics - Theory · Physics 2026-04-08 Yun-Ze Li , Yunfei Xie , Song He

The fourth derivative models for two dimensional gravity are shown to be equivalent to the special version of the nonlinear sigma models coupled to 2d quantum gravity. The reduction consists in the introduction of the auxiliary scalar…

High Energy Physics - Theory · Physics 2016-09-06 I. L. Shapiro

We study gravity coupled to scalar and fermion fields in the Einstein-Cartan framework. We discuss the most general form of the action that contains terms of mass dimension not bigger than four, leaving out only contributions quadratic in…

High Energy Physics - Theory · Physics 2021-08-17 Mikhail Shaposhnikov , Andrey Shkerin , Inar Timiryasov , Sebastian Zell

Interaction with external gravitational field is introduced into a nonlocal quark model using the equivalence principle. This allows to define the energy-momentum tensor in flat space and evaluate its hadronic matrix element with external…

High Energy Physics - Phenomenology · Physics 2025-07-09 Vladimir Voronin

Fourth-derivative gravity has two free parameters, $\alpha$ and $\beta$, which couple the curvature-squared terms $R^2$ and $R_{\mu\nu}^2$. Relativistic effects and short-range laboratory experiments can be used to provide upper limits to…

General Relativity and Quantum Cosmology · Physics 2017-12-12 Breno L. Giacchini
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