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Asymptotically nonlocal field theories represent a sequence of higher-derivative theories whose limit point is a ghost-free, infinite-derivative theory. Here we extend this framework, developed previously in a theory of real scalar fields,…

High Energy Physics - Theory · Physics 2022-03-04 Jens Boos , Christopher D. Carone

We consider a quantum field theory on a spherically symmetric quantum space time described by loop quantum gravity. The spin network description of space time in such a theory leads to equations for the quantum field that are discrete. We…

General Relativity and Quantum Cosmology · Physics 2015-06-02 Rodolfo Gambini , Jorge Pullin

The classical Maxwell-Dirac and Maxwell-Klein-Gordon theories admit solutions of the field equations where the corresponding electric current vanishes in the causal complement of some bounded region of Minkowski space. This poses the…

High Energy Physics - Theory · Physics 2009-10-31 Detlev Buchholz , Sergio Doplicher , Giovanni Morchio , John E. Roberts , Franco Strocchi

Bell non-locality is a term that applies to specific modifications and interpretations of quantum mechanics. Yet, Bell's original 1964 theorem is often used to assert that unmodified quantum mechanics itself is non-local and that local…

Quantum Physics · Physics 2023-11-30 Eduarda Fonseca da Nova Cruz , David Möckli

All the Doubly Special Relativity (DSR) models studied in literature so far involve a deformation of the energy conservation rule that forces us to release the hypothesis of the additivity of the energy for composite systems. In view of the…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Gianluca Mandanici

The analysis of measurements of accelerated observers in Minkowski spacetime has led to the development of nonlocal special relativity theory. Inertia and gravitation are intimately connected in accordance with the principle of equivalence.…

General Relativity and Quantum Cosmology · Physics 2012-10-11 Bahram Mashhoon

We show that the relativistic gravity theory can offer a framework to formulate the non-relativistic effective field theory in a general coordinate invariant way. We focus on the parity violating case in 2+1 dimensions which is particularly…

High Energy Physics - Theory · Physics 2015-06-17 Chaolun Wu , Shao-Feng Wu

The Special Theory of Relativity and Quantum Mechanics merge in the key principle of Quantum Field Theory, the Principle of Locality. We review some examples of its ``unreasonable effectiveness'' (which shows up best in the formulation of…

Mathematical Physics · Physics 2014-11-20 Sergio Doplicher

Several approaches to quantum gravity lead to nonlocal modifications of fields' dynamics. This, in turn, can give rise to nonlocal modifications of quantum mechanics at non-relativistic energies. Here, we analyze the nonlocal…

General Relativity and Quantum Cosmology · Physics 2024-09-17 Marzena Ciszak , Alessio Belenchia , Antonello Ortolan , Francesco Marino

Phase spaces with nontrivial geometry appear in different approaches to quantum gravity and can also play a role in e.g. condensed matter physics. However, so far such phase spaces have only been considered for particles or strings. We…

High Energy Physics - Theory · Physics 2017-05-30 Tomasz Trześniewski

We analyse the quantum geometry of 3-dimensional deformed special relativity (DSR) and the notion of spacetime points in such a context, identified with coherent states that minimize the uncertainty relations among spacetime coordinates…

High Energy Physics - Theory · Physics 2010-02-03 E. R. Livine , D. Oriti

We address the construction and interpretation of diffeomorphism-invariant observables in a low-energy effective theory of quantum gravity. The observables we consider are constructed as integrals over the space of coordinates, in analogy…

High Energy Physics - Theory · Physics 2009-09-29 Steven B. Giddings , Donald Marolf , James B. Hartle

The properties of static, spherically symmetric configurations are considered in the framework of two models of nonlocally corrected gravity, suggested in S. Deser and R. Woodard., Phys. Rev. Lett. 663, 111301 (2007), and S. Capozziello et…

High Energy Physics - Theory · Physics 2010-04-06 K. A. Bronnikov , E. Elizalde

We study a generalized nonlocal theory of gravity which, in specific limits, can become either the curvature non-local or teleparallel non-local theory. Using the Noether Symmetry Approach, we find that the coupling functions coming from…

General Relativity and Quantum Cosmology · Physics 2017-11-22 Sebastian Bahamonde , Salvatore Capozziello , Konstantinos F. Dialektopoulos

We develop the idea of local duality symmetry (LDS) in gauge field theories. Using Clifford algebra techniques we construct dually invariant scalar Lagrangian of electrodynamics in the presence of sources and demonstrate that in tensor…

High Energy Physics - Theory · Physics 2020-03-26 Timur Seidov

We show that some of the recent results reported in gr-qc/0308049 are based on assumptions which are in contrast with general properties of ``Doubly Special Relativity'' and/or with Planck-scale physics models.

General Relativity and Quantum Cosmology · Physics 2007-05-23 Michele Arzano

We investigate nonlocal field theories, a subject that has attracted some renewed interest in connection with nonlocal gravity models. We study, in particular, scalar theories of interacting delocalized fields, the delocalization being…

High Energy Physics - Theory · Physics 2016-01-06 E. T. Tomboulis

General Relativity suffers for two main problems which have not yet been overcome: it predicts spacetime singularities and cannot be formulated as a perturbative renormalizable theory. In particular, many attempts have been made for…

General Relativity and Quantum Cosmology · Physics 2025-02-04 Salvatore Capozziello , Maurizio Capriolo , Amodio Carleo , Gaetano Lambiase

Doubly Special Relativity (DSR) is a class of theories of relativistic motion with two observer-independent scales. We investigate the velocity of particles in DSR, defining velocity as the Poisson bracket of position with the appropriate…

High Energy Physics - Theory · Physics 2009-11-10 M. Daszkiewicz , K. Imilkowska , J. Kowalski-Glikman

We construct an exactly solvable relativistic model that embeds the anomalous inverse-square interaction into a non-Hermitian Klein-Gordon field theory through a purely imaginary, scale-invariant scalar potential. The stationary field…

Quantum Physics · Physics 2026-03-31 Mansour Haghighat , Ali Nouri
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