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It is shown that only one vacuum state can be prepared with a finite amount of energy and it appears, in particular, as a limit of physical states under large timelike translations in any theory which satisfies a phase space condition…

Mathematical Physics · Physics 2008-11-26 Wojciech Dybalski

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

Within the setting of algebraic quantum field theory a relation between phase-space properties of observables and charged fields is established. These properties are expressed in terms of compactness and nuclearity conditions which are the…

High Energy Physics - Theory · Physics 2016-09-06 D. Buchholz , C. D'Antoni

A new phase space criterion, encoding the physically motivated behavior of coincidence arrangements of local observables, is proposed in this work. This condition entails, in particular, uniqueness and purity of the energetically accessible…

Mathematical Physics · Physics 2009-12-11 Wojciech Dybalski

We study the possibility to enhance the phase space density of non-interacting particles submitted to a classical laser field without spontaneous emission. We clearly state that, when no spontaneous emission is present, a quantum…

Quantum Physics · Physics 2019-01-02 Thierry Chanelière , Daniel Comparat , Hans Lignier

In recent years the idea that not only the configuration space of particles, i.e. spacetime, but also the corresponding momentum space may have nontrivial geometry has attracted significant attention, especially in the context of quantum…

High Energy Physics - Theory · Physics 2016-06-28 Jakub Mielczarek , Tomasz Trzesniewski

The wave-particle duality of the vacuum states of quantum fields is considered and the particle-like property of the vacuum state of a quantum field is proposed as a vacuum-particle which carries the vacuum-energy and the vacuum-momentum of…

General Physics · Physics 2009-04-28 Wenzhuo Zhang

In quantum theory the vacuum is defined as a state of minimum energy that is devoid of particles but still not completely empty. It is perhaps more surprising that its definition depends on the geometry of the system and on the trajectory…

Quantum Physics · Physics 2016-05-04 F. Intravaia

Free vector fields, satisfying the Lorenz condition, are investigated in details in the momentum picture of motion in Lagrangian quantum field theory. The field equations are equivalently written in terms of creation and annihilation…

High Energy Physics - Theory · Physics 2007-05-23 Bozhidar Z. Iliev

It is shown that the canonical quantum field theory of radiation based on the field theoretical generalization of a recently proposed [1] commutation relation between position and momentum operators of massless particles leads to zero…

Quantum Physics · Physics 2012-12-18 H. Razmi , A. H. Abbassi

We investigate the ground state of a free massless (pseudo)scalar field in 1+1-dimensional space-time. We argue that in the quantum field theory of a free massless (pseudo)scalar field without infrared divergences (Eur. Phys. J. C24, 653…

High Energy Physics - Theory · Physics 2007-05-23 M. Faber , A. N. Ivanov

We give an overview on a couple of recent results concerning the KMS-condition and the characterization of thermodynamic equilibrium states from a moving observer's point of view. These results include a characterization of vacuum states in…

Mathematical Physics · Physics 2007-05-23 Bernd Kuckert

After introducing the parametrized Minkowski theory describing a positive-energy scalar massless particle, we study the rest-frame instant form of dynamics of such a particle in presence of another massive one (to avoid the front form of…

High Energy Physics - Theory · Physics 2014-11-21 David Alba , Horace W. Crater , Luca Lusanna

Recently, a bundle theoretic description of massive single-particle state spaces, which is better suited for Relativistic Quantum Information Theory than the ordinary Hilbert space description, has been suggested. However, the mathematical…

Mathematical Physics · Physics 2023-09-19 Heon Lee

Asymptotic fields do not exist in theories with massless particles and fields, because the vacuum matrix elements of products of the interacting fields in such theories do not have delta function or principal value singularities in momentum…

High Energy Physics - Phenomenology · Physics 2012-08-13 O. W. Greenberg , Steve Cowen

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

We present a dynamical framework for modeling the motion of point-like charged particles, with or without mass, in general external electromagnetic fields. A key feature of this formulation is the treatment of time coordinate as a dynamical…

Classical Physics · Physics 2026-01-07 Zui Oporto , Gonzalo Marcelo Ramírez-Ávila

A noncommutative geometric generalisation of the quantum field theoretical framework is developed by generalising the Heisenberg commutation relations. There appear nonzero minimal uncertainties in positions and in momenta. As the main…

High Energy Physics - Theory · Physics 2009-10-28 A. Kempf

A new approach is suggested which allows to describe phenomenologically arbitrary topologies of the Universe. It consists in a generalizaton of third quantization. This quantization is carried out for the case of asymptotic closeness to a…

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. A. Kirillov

A quantum theory of asymptotically flat space-times is presented using the solutions of the Null Surface Formulation (NSF) field equations in a perturbative scheme. Free-field commutation relations are given for the null free data of NSF at…

High Energy Physics - Theory · Physics 2025-06-30 Carlos N. Kozameh , Lautaro Zapata-Altuna
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