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Localization properties of scalar single particle states are analyzed by explicit calculational examples with a focus on the massless case. Problems arising from the non-existence of relativistic particle position operators respecting the…

High Energy Physics - Theory · Physics 2015-10-20 Andreas Aste , Maik Frensel

We argue that the conventional quantum field theory in curved spacetime has a grave drawback: The canonical commutation relations for quantum fields and conjugate momenta do not hold. Thus the conventional theory should be denounced and the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Vladimir S. Mashkevich

After having explained Samuel Clarke's conception of the new philosophy of physical reality, we will treat the electron field in this context as a field modifying the void. From this we will be able to derive the so-called quantum rules…

Mathematical Physics · Physics 2007-05-23 Constantin Piron

Here the probability density of relativistic particles coordinates, satisfying the formal conditions of the quantum mechanics and the special relativity, is determined (under textbooks view, such density does not exist). It is specified for…

Quantum Physics · Physics 2009-03-17 V. F. Krotov

In loop quantum gravity, states of the gravitational field turn out to be excitations over a vacuum state that is sharply peaked on a degenerate spatial geometry. While this vacuum is singled out as fundamental due to its invariance…

General Relativity and Quantum Cosmology · Physics 2012-05-15 Tim Koslowski , Hanno Sahlmann

We put forward an interpretation of scalar quantum field theory as relativistic quantum mechanics by curing well known problems related to locality. A probabilistic interpretation of quantum field theory similar to quantum mechanics is…

High Energy Physics - Theory · Physics 2010-12-20 W. Westra

A new model of oscillators was suggested, in which an oscillating particle in the minimum energy state has a nonzero velocity. A system consisting of a point material particle and a scalar field described by the nonlinear Klein-Gordon…

Pattern Formation and Solitons · Physics 2019-07-19 Rishat Salimov

The main fundamental principles characterizing the vacuum field structure are formulated, the modeling of the related vacuum medium and charged point particle dynamics by means of devised field theoretic tools are analyzed. The Maxwell…

General Relativity and Quantum Cosmology · Physics 2010-01-26 Nikolai N. Bogolubov , Anatoliy K. Prykarpatsky , Ufuk Taneri

The interaction of a moving charged particle with its coherent electromagnetic field is analysed in the framework of non-relativistic quantum mechanics. It is shown that, when this interaction is taken into account, a spatially localized…

Quantum Physics · Physics 2007-05-23 F. Miglietta

The term 'locality' is used in different contexts with different meanings. There have been claims that relational quantum mechanics is local, but it is not clear then how it accounts for the effects that go under the usual name of quantum…

Quantum Physics · Physics 2019-02-20 Pierre Martin-Dussaud , Carlo Rovelli , Federico Zalamea

We comment on the present status, the concepts and their limitations, and the successes and open problems of the various approaches to a relativistic quantum theory of elementary particles, with a hindsight to questions concerning quantum…

High Energy Physics - Theory · Physics 2008-11-26 Klaus Fredenhagen , Karl-Henning Rehren , Erhard Seiler

The problem of causality is analyzed in the context of Local Quantum Field Theory. Contrary to recent claims, it is shown that apparent noncausal behaviour is due to a lack of the notion of sharp localizability for a relativistic quantum…

High Energy Physics - Theory · Physics 2009-10-28 L. Maiani , M. Testa

It is argued that while quantum mechanics contains nonlocal or entangled states, the instantaneous or nonlocal influences sometimes thought to be present due to violations of Bell inequalities in fact arise from mistaken attempts to apply…

Quantum Physics · Physics 2012-02-22 Robert B. Griffiths

Locality is a central notion in modern physics, but different disciplines understand it in different ways. Quantum field theory focuses on relativistic locality, based on spacetime regions, while quantum information theory focuses circuit…

Quantum Physics · Physics 2026-03-25 Andrea Di Biagio , Richard Howl , Časlav Brukner , Carlo Rovelli , Marios Christodoulou

Vacuum energy in quantum field theory, being the sum of zero-point energies of all field modes, is formally infinite but yet, after regularization or renormalization, can give rise to finite observable effects. One way of understanding how…

High Energy Physics - Theory · Physics 2015-05-13 Tomasz Konopka

Quantum field theory (QFT) on non-stationary spacetimes is well understood from the side of the algebra of observables. The state space, however, is largely unexplored, due to the non-existence of distinguished states (vacuum, scattering…

General Relativity and Quantum Cosmology · Physics 2018-09-25 Klaus Fredenhagen , Thomas-Paul Hack , Nicola Pinamonti

Electromagnetism is the paradigm case of a theory that satisfies relativistic locality. This can be proven by demonstrating that, once the theory's laws are imposed, what is happening within a region fixes what will happen in the…

Quantum Physics · Physics 2024-12-17 Eugene Y. S. Chua , Charles T. Sebens

The paper investigates relations between the phase space structure of a quantum field theory ("nuclearity") and the concept of pointlike localized fields. Given a net of local observable algebras, a phase space condition is introduced that…

Mathematical Physics · Physics 2007-05-23 Henning Bostelmann

Quantum field theory unifies concepts from quantum theory and from special relativity. Its mathematically rigorous description is quite intricate and is only partially understood; this is particularly true for the construction of operators…

Mathematical Physics · Physics 2015-05-04 Henning Bostelmann

An intriguing consequence of quantum field theory is that vacuum is not empty space; it is full of quantum fluctuating electromagnetic fields, or virtual photons, corresponding to their zero-point energy, even though the average number of…

Quantum Physics · Physics 2025-07-15 Andrey Baydin , Hanyu Zhu , Motoaki Bamba , Kaden Hazzard , Junichiro Kono