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Perturbative algebraic quantum field theory (pAQFT) is a mathematically rigorous framework that allows to construct models of quantum field theories on a general class of Lorentzian manifolds. Recently this idea has been applied also to…

数学物理 · 物理学 2016-04-27 Kasia Rejzner

Doubly special relativity (DSR) is usually regarded as a low-energy limit of a quantum gravity theory with testable predictions. On the other hand, non-local quantum field theories have been presented as a solution to the inconsistencies…

高能物理 - 理论 · 物理学 2025-02-24 J. J. Relancio , L. Santamaría-Sanz

The quantum theory of a free particle on a portion of two-dimensional Euclidean space bounded by a circle and subject to non-local boundary conditions gives rise to bulk and surface states. Starting from this well known property, a…

高能物理 - 理论 · 物理学 2007-05-23 Giampiero Esposito

Ever since the appearance of renormalization theory there have been several differently motivated attempts at non-localized (in the sense of not generated by point-like fields) relativistic particle theories, the most recent one being at…

高能物理 - 理论 · 物理学 2009-11-10 Bert Schroer

This article presents an analysis of the extent to which local causal models or local realistic models of quantum theory (QT), including quantum field theory (QFT), are theoretically possible and practically feasible in light of the present…

量子物理 · 物理学 2016-04-15 Hans H. Diel

We discuss the nonlocal nature of quantum mechanics and the link with relativistic quantum mechanics such as formulated by quantum field theory. We use here a nonlocal quantum field theory (NLQFT) which is finite, satisfies Poincar\'e…

高能物理 - 理论 · 物理学 2024-01-12 Robin Landry , John Moffat

Several quantum gravity scenarios lead to physics below the Planck scale characterised by nonlocal, Lorentz invariant equations of motion. We show that such non-local effective field theories lead to a modified Schr\"odinger evolution in…

广义相对论与量子宇宙学 · 物理学 2016-04-27 Alessio Belenchia , Dionigi M. T. Benincasa , Stefano Liberati , Francesco Marin , Francesco Marino , Antonello Ortolan

We examine quantum field theory in spacetimes that are time nonorientable but have no other causal pathology. These are Lorentzian universes-from-nothing, spacetimes with a single spacelike boundary that nevertheless have a smooth…

广义相对论与量子宇宙学 · 物理学 2011-07-19 John L. Friedman , Atsushi Higuchi

A century after the advent of Quantum Mechanics and General Relativity, both theories enjoy incredible empirical success, constituting the cornerstones of modern physics. Yet, paradoxically, they suffer from deep-rooted, so-far intractable,…

量子物理 · 物理学 2017-03-20 Elizabeth S. Gould , Niayesh Afshordi

We construct perturbative quantum gravity in a generally covariant way. In particular our construction is background independent. It is based on the locally covariant approach to quantum field theory and the renormalized Batalin-Vilkovisky…

数学物理 · 物理学 2015-11-30 Romeo Brunetti , Klaus Fredenhagen , Katarzyna Rejzner

We study a non-local scalar quantum field theory in flat spacetime derived from the dynamics of a scalar field on a causal set. We show that this non-local QFT contains a continuum of massive modes in any dimension. In 2 dimensions the…

广义相对论与量子宇宙学 · 物理学 2015-06-23 Alessio Belenchia , Dionigi M. T. Benincasa , Stefano Liberati

Quantum theories of gravity are generally expected to have some degree of non-locality, with familiar local physics emerging only in a particular limit. Perturbative quantum gravity around backgrounds with isometries and compact Cauchy…

高能物理 - 理论 · 物理学 2026-02-23 Molly Kaplan , Donald Marolf , Xuyang Yu , Ying Zhao

We study the action of space-time symmetries on quantum fields in the presence of small departures from locality determined by dynamical gravity. It is shown that, under such relaxation of locality, the symmetries of the theory cannot be…

高能物理 - 理论 · 物理学 2008-11-26 Michele Arzano

The non-local quantum field theories attract interest in the mathematical and physical community as candidates for effective description of the reality taking into account the quantum gravity effects. The standard methods, developed for the…

数学物理 · 物理学 2022-12-13 Aleksei Bykov

We argue that quantum gravity is nonlocal, first by recalling well-known arguments that support this idea and then by focusing on a point not usually emphasized: that making a conventional effective field theory (EFT) for quantum gravity is…

高能物理 - 理论 · 物理学 2022-01-26 Nicolás Valdés-Meller

We describe a deformation of the observable algebra of quantum gravity in which the loop algebra is extended to framed loops. This allows an alternative nonperturbative quantization which is suitable for describing a phase of quantum…

广义相对论与量子宇宙学 · 物理学 2009-09-25 Seth Major , Lee Smolin

It is a common belief that any relativistic nonlocal quantum field theory encounters either the problem of renormalizability or unitarity or both of them. It is also known that any local relativistic quantum field theory (QFT) possesses the…

高能物理 - 理论 · 物理学 2026-04-23 Moshe M. Chaichian , Markku A. Oksanen , Anca Tureanu

Non-Abelian Gauss law is interpreted in terms of area bits described in a local frame which fit together into closed surfaces and the Non-Abelian Stokes law in terms of length bits described in a local frame which fit together into closed…

广义相对论与量子宇宙学 · 物理学 2007-05-23 H. S. Sharatchandra , H. Gopalkrishna Gadiyar

We provide a detailed analysis of the classical and quantized theory of a multiplet of inhomogeneous Klein-Gordon fields, which couple to the spacetime metric and also to an external source term; thus the solutions form an affine space.…

数学物理 · 物理学 2015-08-24 Christopher J. Fewster , Alexander Schenkel

The essence of a general formulation to accommodate non-equilibrium local states in relativistic quantum field theory is explained from the viewpoint of comparison at a spacetime point between unknown generic states to be characterized as…

统计力学 · 物理学 2016-11-23 Izumi Ojima
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