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Positivity bounds provide conditions that a consistent UV-completion exists for a quantum field theory. We examine their application to Horndeski gravity models reconstructed from the effective field theory (EFT) of dark energy. This…

General Relativity and Quantum Cosmology · Physics 2020-09-09 Joe Kennedy , Lucas Lombriser

Quantum cosmology is traditionally formulated in a minisuperspace setting, implicitly averaging fields over space to obtain homogeneous models. For universal reasons related to the uncertainty principle, quantum corrections then depend on…

General Relativity and Quantum Cosmology · Physics 2019-06-05 Martin Bojowald

Assume that in a fundamental theory of quantum gravity spatial information is encoded through elements x_i of an associative, complex and possibly noncommutative algebra in which the involution acts as x^*_i = x_i. Without further…

High Energy Physics - Theory · Physics 2007-05-23 A. Kempf

This study investigates the compatibility of the electroweak sector of particle physics with quantum gravity, under the assumption that the conventional S-matrix positivity bounds can be extended to gravitational context. It focuses on…

High Energy Physics - Theory · Physics 2023-12-15 Tran Quang Loc

Quantum field theory (QFT) based on the principles of special relativity (SR) and it is in fact the \emph{kinematic theory of fields}. The root assumption is that there is "relativistic description" of \emph{any} isolated quantum system in…

General Physics · Physics 2018-08-02 Peter Leifer

Effective field theories (EFT) are strongly constrained by fundamental principles such as unitarity, locality, causality, and Lorentz invariance. In this paper, we consider the EFT of photons (or other $U(1)$ gauge field) and compare…

High Energy Physics - Theory · Physics 2023-07-12 Mariana Carrillo González , Claudia de Rham , Sumer Jaitly , Victor Pozsgay , Anna Tokareva

Noncommutative geometry is a mathematical framework that expresses the structure of space-time in terms of operator algebras. By using the tools of quantum mechanics to describe the geometry, noncommutative space-times are expected to give…

Mathematical Physics · Physics 2024-07-03 Kilian Hersent

I formulate several statements demonstrating that the local metric redefinition can be used to reduce the UV divergences present in the quantum action for the Einstein gravity in $d=4$ dimensions. In its most general form, the proposal is…

High Energy Physics - Theory · Physics 2016-02-17 Sergey N. Solodukhin

We discuss the set of constraints for Einstein-aether theories, comparing the flat background case with what is expected when the gravitational fields are dynamic. We note potential pathologies occurring in the weak gravitational field…

General Relativity and Quantum Cosmology · Physics 2015-06-05 David Garfinkle , James Isenberg , Jose M. Martin-Garcia

We consider tensor-vector theories with varying the space-time-matter coupling constant (varying Einstein velocity) in a spatially flat FRW universe. We examine the dynamics of this model by dynamical system method assuming a \Lambda CDM…

General Physics · Physics 2015-06-11 Azam Izadi , Ali Shojai , Mojtaba Nouradini

We highlight how the existence of an ultraviolet completion for interacting Standard-Model type matter puts constraints on the viable microscopic dynamics of asymptotically safe quantum gravity within truncated Renormalization Group flows.…

General Relativity and Quantum Cosmology · Physics 2017-12-01 Astrid Eichhorn , Aaron Held

We show how uncertainty in the causal structure of field theory is essentially inevitable when one includes quantum gravity. This includes the fact that lightcones are ill-defined in such a theory. This effect is small in the effective…

High Energy Physics - Theory · Physics 2021-11-24 John F. Donoghue , Gabriel Menezes

We study bounds arising from the analyticity and unitarity of scattering amplitudes in the context of effective field theories with massless particles. We provide an approach that only uses dispersion relations away from the forward limit.…

High Energy Physics - Theory · Physics 2025-10-10 Carl Beadle , Giulia Isabella , Davide Perrone , Sara Ricossa , Francesco Riva , Francesco Serra

Hard momentum cutoff is used for estimating IR/UV corrections to the Casimir force. In contrast to the power-law corrections arising from the IR cutoff, one will find the UV cutoff-dependent corrections to be exponentially suppressed. As a…

Quantum Physics · Physics 2018-09-06 Michael Maziashvili

Positivity bounds - the consequences of requiring a unitary, causal, local UV completion - place strong restrictions on theories of dark energy and/or modified gravity. We derive and investigate such bounds for Horndeski scalar-tensor…

Cosmology and Nongalactic Astrophysics · Physics 2020-07-28 Scott Melville , Johannes Noller

Stringent Swampland conjectures aimed at effective theories containing massive abelian vectors have recently been proposed (arXiv:1808.09966), with striking phenomenological implications. In this article, we show how effective theories that…

High Energy Physics - Theory · Physics 2018-12-05 Nathaniel Craig , Isabel Garcia Garcia

The IR/UV mixing and the violation of unitarity are two of the most intriguing aspects of noncommutative quantum field theories. In this paper the relation between these two phenomena is explained and established. We start out by showing…

High Energy Physics - Theory · Physics 2009-11-07 Chong-Sun Chu , Jerzy Lukierski , Wojtek J. Zakrzewski

Tentative observations and theoretical considerations have recently led to renewed interest in models of fundamental physics in which certain ``constants'' vary in time. Assuming fixed black hole mass and the standard form of the…

General Relativity and Quantum Cosmology · Physics 2010-04-28 S. Carlip

Gravitational wave (GW) constraints have recently been used to significantly restrict models of dark energy and modified gravity. New bounds arising from GW decay and GW-induced dark energy instabilities are particularly powerful in this…

Cosmology and Nongalactic Astrophysics · Physics 2020-03-25 Johannes Noller

We consider the contribution to the entropy from fields in the background of a curved time-independent metric. To account for the curvature of space, we postulate a position-dependent UV cutoff. We argue that a UV cutoff on energy naturally…

High Energy Physics - Theory · Physics 2009-11-07 Lisa Randall , Veronica Sanz , Matthew D. Schwartz
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