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Carrying the insights of conditional probability to the quantum realm is notoriously difficult due to the non-commutative nature of quantum observables. Nevertheless, conditional expectations on von Neumann algebras have played a…

高能物理 - 理论 · 物理学 2024-11-13 Shadi Ali Ahmad , Marc S. Klinger

An important window to quantum gravity phenomena in low energy noncommutative (NC) quantum field theories (QFTs) gets represented by a specific form of UV/IR mixing. Yet another important window to quantum gravity, a holography, manifests…

高能物理 - 唯象学 · 物理学 2011-01-28 Raul Horvat , Josip Trampetic

We review and develop a mathematical framework for nonlocal quantum field theory (QFT) with a fundamental length. As an instructive example, we reexamine the normal ordered Gaussian function of a free field and find the primitive…

数学物理 · 物理学 2010-01-26 Michael A. Soloviev

The Bekenstein bound takes the holographic principle into the realm of flat space, promising new insights on the relation of non-gravitational physics to quantum gravity. This makes it important to obtain a precise formulation of the bound.…

高能物理 - 理论 · 物理学 2009-11-10 Raphael Bousso

Twisted Abelian gauge theory coupled to a noncommutative (NC) Dirac field is studied in order to infer the quasinormal mode (QNM) spectrum of the fermion matter perturbations in the vicinity of the Reissner-Nordstr\"om (RN) black hole. The…

高能物理 - 理论 · 物理学 2025-09-29 Marija Dimitrijević Ćirić , Nikola Herceg , Nikola Konjik , A. Naveena Kumara , Andjelo Samsarov

The locality of bulk physics at distances below the AdS length is one of the remarkable aspects of AdS/CFT duality, and one of the least tested. It requires that the AdS radius be large compared to the Planck length and the string length.…

高能物理 - 理论 · 物理学 2009-11-13 Idse Heemskerk , Joao Penedones , Joseph Polchinski , James Sully

We study quasi-Monte Carlo (QMC) integration of smooth functions defined over the multi-dimensional unit cube. Inspired by a recent work of Pan and Owen, we study a new construction-free median QMC rule which can exploit the smoothness and…

数值分析 · 数学 2023-04-28 Takashi Goda , Pierre L'Ecuyer

Perturbative quantum gravity starts from prescribing a background metric. That background metric is then used in order to carry out two separate steps: 1. One splits the non-perturbative metric into background and deviation from it…

广义相对论与量子宇宙学 · 物理学 2024-05-03 Thomas Thiemann

We compute the local second variation of the von Neumann entropy of a region in theories with a gravity dual. For null variations our formula says that the diagonal part of the Quantum Null Energy Condition is saturated in every state, thus…

高能物理 - 理论 · 物理学 2018-10-17 Stefan Leichenauer , Adam Levine , Arvin Shahbazi-Moghaddam

We show how extended topological quantum field theories (TQFTs) can be used to obtain a kinematical setup for quantum gravity, i.e. a kinematical Hilbert space together with a representation of the observable algebra including operators of…

高能物理 - 理论 · 物理学 2017-01-10 Bianca Dittrich , Marc Geiller

We focus on a proper candidate for the entanglement wedge in asymptotically flat bulk geometries that are described by the generalized minimal massive gravity (GMMG) in the context of the flat holography. To this end, we describe the…

高能物理 - 理论 · 物理学 2025-07-14 Mohammad Reza Setare , Meisam Koohgard

We introduce a non-perturbative continuum framework to study the dynamics of quantum field theory (QFT), applied here to the CP(N-1) model, using Ecalle's theory of resurgent trans-series, combined with the physical principle of continuity,…

高能物理 - 理论 · 物理学 2013-06-06 Gerald V. Dunne , Mithat Unsal

A new application of quantum field theory is developed that gives a description of the internal dynamics of dressed elementary particles and predicts their masses. The fermionic and bosonic quantum fields are treated as interdependent…

综合物理 · 物理学 2012-08-28 J. M. Greben

The study of quantum reference frames (QRFs) is motivated by the idea of taking into account the quantum properties of the reference frames used, explicitly or implicitly, in our description of physical systems. Like classical reference…

In this work, we demonstrate that quantizing gravity on a null hypersurface leads to the emergence of a CFT associated with each null ray. This result stems from the ultralocal nature of null physics and is derived through a canonical…

高能物理 - 理论 · 物理学 2024-12-17 Luca Ciambelli , Laurent Freidel , Robert G. Leigh

The flat/CFT dictionary between the bulk gravitational theory and boundary conformal field theory is systematically developed in this paper. Asymptotically flat spacetime is built up by asymptotically AdS hyperboloid slices in terms of…

高能物理 - 理论 · 物理学 2024-04-02 Zezhuang Hao

We use the variational principle approach to derive the large $N$ holographic dictionary for two-dimensional $T\bar T$-deformed CFTs, for both signs of the deformation parameter. The resulting dual gravitational theory has mixed boundary…

高能物理 - 理论 · 物理学 2021-02-03 Monica Guica , Ruben Monten

Energy conditions, especially the null energy condition (NEC), are generically imposed on solutions to retain a physically sensible classical field theory and they also play an important role in the AdS/CFT duality. Using this duality, we…

高能物理 - 理论 · 物理学 2021-11-03 Carlos Hoyos , Niko Jokela , Jose Manuel Penín , Alfonso V. Ramallo , Javier Tarrío

Kohn-Sham Density Functional Theory (KS-DFT) provides the exact ground state energy and electron density of a molecule, contingent on the as-yet-unknown universal exchange-correlation (XC) functional. Recent research has demonstrated that…

The long-distance effective field theory of our Universe--the Standard Model coupled to gravity--has a unique 4D vacuum, but we show that it also has a landscape of lower-dimensional vacua, with the potential for moduli arising from vacuum…

高能物理 - 理论 · 物理学 2010-10-27 Nima Arkani-Hamed , Sergei Dubovsky , Alberto Nicolis , Giovanni Villadoro