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We study quantum field theories in which the number of degrees of freedom changes discontinuously across the momentum space. This discontinuity which we call "Kronecker anomaly" leads to non-local effective actions and can be represented as…

High Energy Physics - Theory · Physics 2022-03-15 Alexander M. Polyakov , Fedor K. Popov

Using the framework of Quantum Graphity, we construct an explicit model of a quantum foam, a quantum spacetime with spatial non-local links. The states depend on two parameters: the minimal size of the link and their density with respect to…

General Relativity and Quantum Cosmology · Physics 2012-08-14 Francesco Caravelli , Fotini Markopoulou

In this paper we present an iterative method to generate an infinite class of new nonlocal field theories whose propagators are ghost-free. We first examine the scalar field case and show that the pole structure of such generalized…

High Energy Physics - Theory · Physics 2020-04-15 Luca Buoninfante , Gaetano Lambiase , Yuichi Miyashita , Wataru Takebe , Masahide Yamaguchi

In this paper we propose a wider class of symmetries including the Galilean shift symmetry as a subclass. We will show how to construct ghost-free nonlocal actions, consisting of infinite derivative operators, which are invariant under such…

High Energy Physics - Theory · Physics 2019-08-07 Luca Buoninfante , Gaetano Lambiase , Masahide Yamaguchi

We provide the first example of local quantum energy conditions in quantum field theories that are not Lorentz invariant. We focus on field theories in two dimensions with infinite-dimensional symmetries, like the ones governed by the…

High Energy Physics - Theory · Physics 2019-09-25 Daniel Grumiller , Pulastya Parekh , Max Riegler

We show that local Lorentz covariance arises canonically as the group of transformations between local thermal states in the framework of Local Quantum Physics, given the following three postulates: (i) Local observable algebras are…

General Relativity and Quantum Cosmology · Physics 2017-12-07 Matti Raasakka

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…

General Relativity and Quantum Cosmology · Physics 2015-06-23 Alessio Belenchia , Dionigi M. T. Benincasa , Stefano Liberati

Quantum nonlocality without entanglement (Q-NWE) encapsulates nonlocal behavior of multipartite product states as they may entail global operation for optimal decoding of the classical information encoded within. Here we show that the…

Quantum Physics · Physics 2020-03-25 Some Sankar Bhattacharya , Sutapa Saha , Tamal Guha , Manik Banik

In the present work we investigate the Newtonian limit of higher-derivative gravity theories with more than four derivatives in the action, including the non-analytic logarithmic terms resulting from one-loop quantum corrections. The first…

General Relativity and Quantum Cosmology · Physics 2021-06-02 Nicolò Burzillà , Breno L. Giacchini , Tibério de Paula Netto , Leonardo Modesto

We suggest that classicalization can cure non-local quantum field theories from acausal divergences in scattering amplitudes, restoring unitarity and causality. In particular, in "trans-non-local" limit, the formation of non-perturbative…

High Energy Physics - Theory · Physics 2016-03-23 Andrea Addazi

We discuss the nature of quantum field theories involving gravity that are classically scale-invariant. We show that gravitational radiative corrections are crucial in the determination of the nature of the vacuum state in such theories,…

High Energy Physics - Theory · Physics 2015-03-18 Martin B. Einhorn , D. R. Timothy Jones

We construct a theory of real scalar fields that interpolates between two different theories: a Lee-Wick theory with $N$ propagator poles, including $N-1$ Lee-Wick partners, and a nonlocal infinite-derivative theory with kinetic terms…

High Energy Physics - Theory · Physics 2021-07-28 Jens Boos , Christopher D. Carone

We study Kerr-Schild perturbations of a ghost-free, generic non-local gravity theory constructed from an infinite series of higher derivative terms in $D$ dimensions. The infinite series of higher derivative terms are encoded by form…

General Relativity and Quantum Cosmology · Physics 2025-12-24 Ercan Kilicarslan

A model of quantum field theory in which the field operators form a nonassociative algebra is proposed. In such a case, the n-point Green's functions become functionally independent of each other. It is shown that particle interaction in…

High Energy Physics - Theory · Physics 2007-05-23 Vladimir Dzhunushaliev

Within the setting of a recently proposed model of quantum fields on noncommutative Minkowski spacetime, the consequences of the consistent application of the proper, untwisted Poincare group as the symmetry group are investigated. The…

High Energy Physics - Theory · Physics 2009-04-17 Harald Grosse , Gandalf Lechner

We provide an example of nonlocal scalar electrodynamics that allows the same Higgs mechanism so successful in local field theory. The nonlocal action is structured in order to have the same exact solutions and the same equations of motion…

High Energy Physics - Theory · Physics 2021-06-30 Leonardo Modesto

In this thesis we shall demonstrate that a measurement of position alone in non-commutative space cannot yield complete information about the quantum state of a particle. Indeed, the formalism used entails a description that is non-local in…

High Energy Physics - Theory · Physics 2012-06-07 CM Rohwer , FG Scholtz

In this work, we explore the quantum theories of the free massive scalar, the massive fermionic, and the electromagnetic fields, in a doubly special relativity scenario. This construction is based on a geometrical interpretation of the…

High Energy Physics - Theory · Physics 2025-02-24 J. J. Relancio , L. Santamaría-Sanz

A complete basis of nonlocal invariants in quantum gravity theory is built to third order in spacetime curvature and matter-field strengths. The nonlocal identities are obtained which reduce this basis for manifolds with dimensionality…

General Relativity and Quantum Cosmology · Physics 2008-11-26 A. O. Barvinsky , Yu. V. Gusev , G. A. Vilkovisky , V. V. Zhytnikov

The question of thermodynamic consistence and $\Phi$-derivability of the asymptotic limit of high spatial dimensions for quantum itinerant models is addressed. It is shown that although the irreducible $n$-particle Green functions are…

Strongly Correlated Electrons · Physics 2016-08-31 V. Janis
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