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We discuss the scaling of the effective action for the interacting scalar quantum field theory on generic spacetimes with Lorentzian signature and in a generic state (including vacuum and thermal states, if they exist). This is done…

Mathematical Physics · Physics 2024-01-17 Edoardo D'Angelo , Nicolò Drago , Nicola Pinamonti , Kasia Rejzner

We investigate the possibility of defining states on timelike hypersurfaces in quantum field theory. To this end we consider hyperplanes in the real massive Klein-Gordon theory using the Schroedinger representation. We find a well defined…

High Energy Physics - Theory · Physics 2007-05-23 Robert Oeckl

We investigate signal propagation in a quantum field simulator of the Klein-Gordon model realized by two strongly coupled parallel one-dimensional quasi-condensates. By measuring local phononic fields after a quench, we observe the…

We describe a quantum limit to measurement of classical spacetimes. Specifically, we formulate a quantum Cramer-Rao lower bound for estimating the single parameter in any one-parameter family of spacetime metrics. We employ the locally…

Quantum Physics · Physics 2017-11-15 T. G. Downes , J. R. van Meter , E. Knill , G. J. Milburn , C. M. Caves

We study the semiclassical Einstein field equations with a Klein-Gordon field in ultrastatic and static spacetimes. In both cases, the equations for the spacetime metric become constraint equations. In the ultrastatic case, the Hadamard…

General Relativity and Quantum Cosmology · Physics 2021-11-01 Benito A. Juárez-Aubry

We provide a construction of a class of local and de Sitter covariant tachyonic quantum fields which exist for discrete negative values of the squared mass parameter and which have no Minkowskian counterpart. These quantum fields satisfy an…

High Energy Physics - Theory · Physics 2014-11-20 Jacques Bros , Henri Epstein , Ugo Moschella

Classical electromagnetic radiation from quantum currents and densities are calculated. For the free Schrodinger equation with no external force it's found that the classical radiation is zero to all orders of the multipole expansion. This…

Quantum Physics · Physics 2007-05-23 Mark P. Davidson

We prove global existence and decay for small-data solutions to a class of quasilinear wave equations on a wide variety of asymptotically flat spacetime backgrounds, allowing in particular for the presence of horizons, ergoregions and…

General Relativity and Quantum Cosmology · Physics 2024-10-07 Mihalis Dafermos , Gustav Holzegel , Igor Rodnianski , Martin Taylor

We examine the interaction between quantum test particles and the gravitational field generated by a black hole solution that was recently obtained in the consistent 4-dimensional Einstein-Gauss-Bonnet gravity. While quasinormal modes of…

General Relativity and Quantum Cosmology · Physics 2023-04-27 H. S. Vieira

Separability from the spectrum is a significant and ongoing research topic in quantum entanglement. In this study, we investigate properties related to absolute separability from the spectrum in qudits-qudits states in the bipartite states…

Quantum Physics · Physics 2024-08-22 Liang Xiong , Nung-Sing Sze

The quasinormal spectrum of a charged scalar field around a non-extremal Reissner-Nordstr\"om black hole, specially in the limit of large electromagnetic interaction, has been comprehensively studied only very recently. In this work, we…

General Relativity and Quantum Cosmology · Physics 2014-12-04 Maurício Richartz , Davi Giugno

In this paper we construct the set of quantum mechanical observables in the Fedosov *-formalism (a coordinate invariant way to do quantum mechanics on any manifold M) of a single free particle that lives on a constant curvature manifold…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Philip Tillman , George Sparling

In this paper, we study the persistence of spatial analyticity for the solutions to the Klein-Gordon-Schr\"{o}dinger system, which describes a physical system of a nucleon field interacting with a neutral meson field, with analytic initial…

Analysis of PDEs · Mathematics 2022-03-15 Jaeseop Ahn , Jimyeong Kim , Ihyeok Seo

We review the mathematical framework necessary to understand the physical content of quantum singularities in static spacetimes. We present many examples of classical singular spacetimes and study their singularities by using wave packets…

General Relativity and Quantum Cosmology · Physics 2011-08-01 J. P. M. Pitelli , P. S. Letelier

The feasibility of obtaining exact analytical results in the realm of QED in the presence of a background electromagnetic field is almost exclusively limited to a few tractable cases, where the Dirac equation in the corresponding background…

High Energy Physics - Phenomenology · Physics 2016-05-04 A. Di Piazza

We propose that particles are associated both with localized macroscopic states at point vertices and with extended microscopic states at all vacuum points. The self-fields screen the microscopic particle currents everywhere except at the…

General Physics · Physics 2007-05-23 I. E. Bulyzhenkov

We study the quantum mechanics of a charged particle on a constant curvature noncommutative Riemann surface in the presence of a constant magnetic field. We formulate the problem by considering quantum mechanics on the noncommutative AdS_2…

High Energy Physics - Theory · Physics 2009-11-07 Bogdan Morariu , Alexios P. Polychronakos

We propose a model describing spin-half quantum particles in curved spacetime in the framework of quantum field theory. Our model is based on embodying Einstein's equivalence principle and general covariance in the definition of…

General Relativity and Quantum Cosmology · Physics 2023-07-26 Viacheslav A. Emelyanov

We consider the problem of quasinormal modes (QNM) for strongly hyperbolic systems on stationary, asymptotically anti-de Sitter black holes, with very general boundary conditions at infinity. We argue that for a time slicing regular at the…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Claude M. Warnick

Classical results of the axiomatic quantum field theory - Reeh and Schlieder's theorems, irreducibility of the set of field operators and generalized Haag's theorem are proven in SO(1,1) invariant quantum field theory, of which an important…

High Energy Physics - Theory · Physics 2007-05-23 M. Chaichian , M. Mnatsakanova , A. Tureanu , Yu. Vernov