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In this paper we will consider quantum aspects of a non-local, infinite-derivative scalar field theory - a $\it toy \, model$ depiction of a covariant infinite-derivative, non-local extension of Einstein's general relativity which has…

High Energy Physics - Theory · Physics 2016-09-09 Spyridon Talaganis , Tirthabir Biswas , Anupam Mazumdar

We develop a model of one-dimensional (Conformal) Quantum Gravity. By discussing the connection between Goldstone and Gauge theories, we establish that this model effectively computes the partition function of the Schwarzian theory where…

High Energy Physics - Theory · Physics 2022-04-13 Dionysios Anninos , Diego M. Hofman , Stathis Vitouladitis

We derive new functional renormalisation group flows for quantum gravity, in any dimension. The key new achievement is that the equations apply for any theory of gravity whose underlying Lagrangian $\sim f(R_{\mu\nu\rho\sigma})$ is a…

High Energy Physics - Theory · Physics 2022-12-07 Yannick Kluth , Daniel F. Litim

Conformal symmetry always played an important role in field theory (both quantum and classical) and in gravity. We present construction of quantum conformal gravity and discuss its features regarding scattering amplitudes and quantum…

High Energy Physics - Theory · Physics 2018-12-18 Leslaw Rachwal

Asymptotic Safety constitutes a promising mechanism for a consistent and predictive high-energy completion of the gravitational interactions. To date, most results on the interacting renormalization group fixed point underlying the…

High Energy Physics - Theory · Physics 2025-05-19 Frank Saueressig , Jian Wang

Ultraviolet finite quantum field theory on even dimensional noncommutative spacetime is formulated using coordinate coherent states. 2d spacetime is foliated into families of orthogonal, non commutative, two-planes. Lorentz invariance is…

High Energy Physics - Theory · Physics 2007-05-23 Anais Smailagic , Euro Spallucci

We present the elements of resummed quantum gravity, a new approach to quantum gravity based on the work of Feynman using the simplest example of a scalar field as the representative matter. We show that we get a UV finite quantum…

High Energy Physics - Phenomenology · Physics 2009-11-10 B. F. L. Ward

We discuss the conceptual ideas underlying the Asymptotic Safety approach to the nonperturbative renormalization of gravity. By now numerous functional renormalization group studies predict the existence of a suitable nontrivial ultraviolet…

High Energy Physics - Theory · Physics 2015-12-23 Andreas Nink , Martin Reuter

Inspired by Einstein's Strong Principle of Equivalence we consider the effects of quantum mechanics to the gravity-like phenomena experienced by an observer in a uniformly accelerating motion in flat spacetime. Among other things, our model…

General Relativity and Quantum Cosmology · Physics 2024-04-17 Jarmo Mäkelä

We recast the action of pure gravity into a form that is invariant under a twofold Lorentz symmetry. To derive this representation, we construct a general parameterization of all theories equivalent to the Einstein-Hilbert action up to a…

High Energy Physics - Theory · Physics 2017-01-31 Clifford Cheung , Grant N. Remmen

The problem of gauge invariance in an ultraviolet complete quantum field theory (QFT) with nonlocal interactions is investigated. For local fields that couple through a nonlocal interaction, it is demonstrated that the quantum…

High Energy Physics - Theory · Physics 2011-05-02 J. W. Moffat

Vielbeins are necessary when coupling General Relativity (GR) to fermionic matter. This enhances the gauge group of GR to include local Lorentz transformations. In view of a reduced phase space formulation of quantum gravity, in this work…

General Relativity and Quantum Cosmology · Physics 2023-05-12 Thomas Thiemann

The methods of the renormalization group and the $\varepsilon$-expansion are applied to quantum gravity revealing the existence of an asymptotically safe fixed point in spacetime dimensions higher than two. To facilitate this, physical…

High Energy Physics - Theory · Physics 2018-01-04 Kevin Falls

We propose a new class of single-field scalar quantum field theories with non-polynomial interactions leading to a two-point Green's function that can be naturally continued beyond the naive cutoff scale. This provides a new prospect for…

High Energy Physics - Theory · Physics 2023-12-22 Mikhail Shaposhnikov , Sebastian Zell

We generalize the ultraviolet sector of gravitation via a Born-Infeld action using lessons from massive gravity. The theory contains all of the elementary symmetric polynomials and is treated in the Palatini formalism. We show how the…

High Energy Physics - Theory · Physics 2014-12-23 Jose Beltrán Jiménez , Lavinia Heisenberg , Gonzalo J. Olmo

In recent years several ideas for experimental searches of effects induced by quantum properties of space-time have been discussed. Some of these ideas concern the role in quantum spacetime of the ordinary Lorentz symmetry of classical flat…

Astrophysics · Physics 2007-05-23 Giovanni Amelino-Camelia

Both General Relativity and the Standard Model of particle physics are not UV complete. General Relativity is perturbatively non-renormalizable, while the Standard Model features Landau poles, where couplings are predicted to diverge at…

High Energy Physics - Theory · Physics 2025-08-06 Maksym Riabokon , Marc Schiffer , Fabian Wagner

We adopt a framework where quantum-gravity's dynamical dimensional reduction of spacetime at short distances is described in terms of modified dispersion relations. We observe that by subjecting such models to a momentum-space…

General Relativity and Quantum Cosmology · Physics 2013-09-17 Giovanni Amelino-Camelia , Michele Arzano , Giulia Gubitosi , Joao Magueijo

We present a spinfoam formulation of Lorentzian quantum General Relativity. The theory is based on a simple generalization of an Euclidean model defined in terms of a field theory over a group. The model is an extension of a recently…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Alejandro Perez , Carlo Rovelli

The class of covariant gravity theories which have nice ultraviolet behavior and seem to be (super)-renormalizable is proposed. The apparent breaking of Lorentz invariance occurs due to the coupling with the effective fluid which is induced…

High Energy Physics - Theory · Physics 2014-11-20 Shin'ichi Nojiri , Sergei D. Odintsov
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