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Inertial and gravitational mass or energy-momentum need not be the same for virtual quantum states. Separating their roles naturally leads to the gauge theory of volume-preserving diffeomorphisms of an inner four-dimensional space. The…

Mathematical Physics · Physics 2015-06-16 C. Wiesendanger

Following the same steps made for a scalar field in a parallel publication, we propose a class of perturbative theories of quantum gravity based on fractional operators, where the kinetic operator of the graviton is either made of…

General Relativity and Quantum Cosmology · Physics 2021-08-16 Gianluca Calcagni

Two-dimensional Maxwell-dilaton quantum gravity, which covers a large family of the actions for two-dimensional gravity (in particular, string-inspired models) is investigated. Charged black holes which appear in the theory are briefly…

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

Products of large-N conformal field theories coupled by multi-trace interactions in diverse dimensions are used to define quantum multi-gravity (multi-string theory) on a union of (asymptotically) AdS spaces. One-loop effects generate a…

High Energy Physics - Theory · Physics 2009-02-16 Elias Kiritsis , Vasilis Niarchos

The effort to discover a quantum theory of gravity is motivated by the need to reconcile the incompatibility between quantum theory and general relativity. Here, we present an alternative approach by constructing a consistent theory of…

High Energy Physics - Theory · Physics 2023-11-28 Jonathan Oppenheim

String theory is the leading candidate for a unified theory of the standard model and gravity. In the last few years theorists have realized that there is a unique structure underlying string theory. In this unification a prominent role is…

High Energy Physics - Phenomenology · Physics 2007-05-23 L. E. Ibanez

The structure of the divergences for transverse theories of gravity is studied to one-loop order. These theories are invariant only under those diffeomorphisms that enjoy unit Jacobian determinant (TDiff), so that the determinant of the…

High Energy Physics - Theory · Physics 2008-11-26 Enrique Alvarez , Anton F. Faedo , J. J. Lopez-Villarejo

We derive the one-loop beta functions for a theory of gravity with generic action containing up to four derivatives. The calculation is done in arbitrary dimension and on an arbitrary background. The special cases of three, four, near four,…

High Energy Physics - Theory · Physics 2015-06-16 Nobuyoshi Ohta , Roberto Percacci

We point out a new phenomenon which seems to be generic in 4d effective theories of scalar fields coupled to Einstein gravity, when applied to cosmology. A lift of such theories to a Weyl-invariant extension allows one to define classical…

High Energy Physics - Theory · Physics 2015-06-03 Itzhak Bars , Shih-Hung Chen , Paul J. Steinhardt , Neil Turok

We show that the action of Einstein's gravity with a scalar field coupled in a generic way to spacetime curvature is invariant under a particular set of conformal transformations. These transformations relate dual theories for which the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 L. R. Abramo , L. Brenig , E. Gunzig , A. Saa

We re-examine results of the Liouville theory and provide arguments that a {\it negative} bare cosmological constant is essential to define two-dimensional quantum gravity. From this we are naturally led to a regularization of quantum…

High Energy Physics - Lattice · Physics 2007-05-23 Wolfgang Beirl , Bernd A. Berg

Thomas-Whitehead (TW) gravity is a projectively invariant model of gravity over a d-dimensional manifold that is intimately related to string theory through reparameterization invariance. Unparameterized geodesics are the ubiquitous…

High Energy Physics - Theory · Physics 2021-03-03 Samuel Brensinger , Kenneth Heitritter , Vincent Rodgers , Kory Stiffler

Double field theory yields a formulation of the low-energy effective action of bosonic string theory and half-maximal supergravities that is covariant under the T-duality group O$(d,d)$ emerging on a torus $T^d$. Upon reduction to three…

High Energy Physics - Theory · Physics 2017-10-18 Olaf Hohm , Edvard T. Musaev , Henning Samtleben

Scattering of fundamental states of type IIB supergravity and superstring theory is discussed at low orders in perturbation theory in the background of a D-instanton. The integration over fermionic zero modes in both the low energy…

High Energy Physics - Theory · Physics 2009-10-30 Michael B. Green , Michael Gutperle

The study of general two dimensional models of gravity allows to tackle basic questions of quantum gravity, bypassing important technical complications which make the treatment in higher dimensions difficult. As the physically important…

High Energy Physics - Theory · Physics 2010-11-19 D. Grumiller , W. Kummer , D. V. Vassilevich

We review various classical unified theories of gravity and other interactions that have appeared in the literature, paying special attention to scenarios in which spacetime remains four-dimensional, while an "internal" space is enlarged.…

High Energy Physics - Theory · Physics 2018-07-11 Kirill Krasnov , Roberto Percacci

We reconsider a gauge theory of gravity in which the gauge group is the conformal group SO(4,2) and the action is of the Yang-Mills form, quadratic in the curvature. The resulting gravitational theory exhibits local conformal symmetry and…

General Relativity and Quantum Cosmology · Physics 2016-04-07 Jack Gegenberg , Shohreh Rahmati , Sanjeev S. Seahra

The presence of a constant background antisymmetric tensor for open strings or D-branes forces the space-time coordinates to be noncommutative. This effect is equivalent to replacing ordinary products in the effective theory by the deformed…

High Energy Physics - Theory · Physics 2009-10-31 Ali H. Chamseddine

In String Theory there often appears a rather interesting class of higher derivative theories containing an infinite set of derivatives in the form of an exponential. These theories may provide a way to tame ultraviolet divergences without…

General Relativity and Quantum Cosmology · Physics 2015-02-23 Tirthabir Biswas , Spyridon Talaganis

We study quantum gravity in $2+\epsilon$ dimensions in such a way to preserve the volume preserving diffeomorphism invariance. In such a formulation, we prove the following trinity: the general covariance, the conformal invariance and the…

High Energy Physics - Theory · Physics 2011-08-17 T. Aida , Y. Kitazawa , H. Kawai , M. Ninomiya
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