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If gravity respects quantum mechanics, it is important to identify the essential postulates of a quantum framework capable of incorporating gravitational phenomena. Such a construct likely requires elimination or modification of some of the…

Quantum Physics · Physics 2008-11-26 Steven B. Giddings

We explore the weak-field phenomenology of a compact star spacetime modified by quantum gravitational corrections derived from the effective field theoretical (EFT) approach by Calmet et al. [1]. These corrections, encoded in non-local…

General Relativity and Quantum Cosmology · Physics 2026-02-10 Reggie C. Pantig , Ali Ovgun , Gaetano Lambiase

This work investigates alternative theories of gravity, the solutions to their field equations and the constraints that can be imposed upon them from observation and experiment. Specifically, we consider the cosmologies and spherically…

General Relativity and Quantum Cosmology · Physics 2007-05-23 T. Clifton

We revisit the space of gapped quantum field theories with a global O(N) symmetry in two spacetime dimensions. Previous works using S-matrix bootstrap revealed a rich space in which integrable theories such as the non-linear sigma model…

High Energy Physics - Theory · Physics 2023-11-07 Lucia Cordova , Miguel Correia , Alessandro Georgoudis , Antoine Vuignier

Despite the fact that quantum gravity is non-renormalisable, a consistent and mathematically rigorous construction of a perturbation series is possible. This is based on the use of the Batalin-Vilkovisky-Becchi-Rouet-Stora-Tyutin formalism…

General Relativity and Quantum Cosmology · Physics 2022-12-26 Romeo Brunetti , Klaus Fredenhagen , Kasia Rejzner

Requiring the existence of a unitary, causal and local UV-completion places a set of positivity bounds on the corresponding effective field theories (EFTs). We discuss the obstructions and possibility in applying the positivity bound to…

High Energy Physics - Theory · Physics 2020-06-30 Gen Ye , Yun-Song Piao

We analyze gravitational theories with quadratic curvature terms, including the case of conformally invariant Weyl gravity, motivated by the intention to find a renormalizable theory of gravity in the ultraviolet region, yet yielding…

High Energy Physics - Theory · Physics 2014-06-18 Josef Klusoň , Markku Oksanen , Anca Tureanu

Through defining irreducible loop integrals (ILIs), a set of consistency conditions for the regularized (quadratically and logarithmically) divergent ILIs are obtained to maintain the generalized Ward identities of gauge invariance in…

High Energy Physics - Theory · Physics 2009-11-07 Yue-Liang Wu

A possible way toward the quantization of a weak gravitational field inspired by the imaginary-time field theory is discussed. The analogies of the general relativity in the canonical formulation with the thermodynamic geometry and…

General Relativity and Quantum Cosmology · Physics 2014-07-15 Yi-Cheng Huang

We propose two higher order generalized uncertainty principles(GUPs) which predict a minimum uncertainty in momentum and apply the deformations that they entail of the Heisenberg algebra to one half of the phase space of the LRS Bianchi I…

General Relativity and Quantum Cosmology · Physics 2020-12-01 Daniel Berkowitz

We present a summary of recent progress and remaining challenges in applying the methods and ideas of quantum information theory to the study of quantum field theory and quantum gravity. Important topics and themes include: entanglement…

High Energy Physics - Theory · Physics 2022-04-27 Thomas Faulkner , Thomas Hartman , Matthew Headrick , Mukund Rangamani , Brian Swingle

One of the main technical obstacles in constructing a consistent theory of quantum gravity is that the metric itself defines the causal structure required for quantization. This motivates implementing quantum aspects of gravity through an…

General Relativity and Quantum Cosmology · Physics 2025-12-16 Johas Morales , Yuri Bonder

We investigate the problem of metric fluctuations in the presence of the vacuum fluctuations of matter fields and critically assess the usual assertion that vacuum energy implies a Planckian cosmological constant. A new stochastic classical…

General Relativity and Quantum Cosmology · Physics 2008-06-19 Charles H. -T. Wang , Paolo M. Bonifacio , Robert Bingham , J. Tito Mendonca

Using unitarity, analyticity and crossing symmetry, we derive universal sum rules for scattering amplitudes in theories invariant under an arbitrary symmetry group. The sum rules relate the coefficients of the energy expansion of the…

High Energy Physics - Theory · Physics 2015-06-19 Brando Bellazzini , Luca Martucci , Riccardo Torre

Unifying quantum theory and gravity remains a fundamental challenge in physics. While most existing literature focuses on the ultraviolet (UV) modifications of quantum theory due to gravity, this work shows that generic infrared (IR)…

General Relativity and Quantum Cosmology · Physics 2024-08-27 Mytraya Gattu , S. Shankaranarayanan

Positivity bounds - constraints on any low-energy effective field theory imposed by the fundamental axioms of unitarity, causality and locality in the UV - have recently been used to constrain various effective field theories relevant for…

High Energy Physics - Theory · Physics 2022-07-14 Scott Melville , Johannes Noller

We investigate the application of an equation of state that incorporates corrections derived from the Snyder model (and the Generalized Uncertainty Principle) to describe the behavior of matter in a low-mass star. Remarkably, the resulting…

General Relativity and Quantum Cosmology · Physics 2023-12-05 Anna Pachoł , Aneta Wojnar

We show that a previously proposed new mechanism to eliminate quadratic divergences for scalar masses is self-consistently compatible with corrections induced by perturbative quantum gravity, provided the theory embeds consistently into a…

High Energy Physics - Theory · Physics 2019-02-20 Krzysztof A. Meissner , Hermann Nicolai , Jan Plefka

Positivity bounds in effective field theories (EFTs) can be extracted through the moment problem approach, utilizing well-established results from the mathematical literature. We generalize this formalism using the matrix moment approach to…

High Energy Physics - Theory · Physics 2024-11-25 Shi-Lin Wan , Shuang-Yong Zhou

We show that there exists a deep link between the two disciplines of information theory and spectral geometry. This allows us to obtain new results on a well known quantum gravity motivated natural ultraviolet cutoff which describes an…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Achim Kempf , Robert Martin