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Related papers: Quantum Field Theory in Accelerated Frames

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Motivated by the fact that the null-shell of a collapsing black hole can be described by a perfectly reflecting accelerating mirror, we investigate an extension of this model to mirror semi-transparency and derive a general implicit…

General Relativity and Quantum Cosmology · Physics 2022-01-27 Michael R. R. Good , Alessio Lapponi , Orlando Luongo , Stefano Mancini

We generalize $1+1$-dimensional formalism derived by Ahmadi et. al. [Phys. Rev. D \textbf{93}, 124031] to investigate an effect of relativistic acceleration on localized two-mode Gaussian quantum states in $3+1$-dimensional spacetime. The…

Quantum Physics · Physics 2020-03-31 Piotr T. Grochowski , Krzysztof Lorek , Andrzej Dragan

Relativistic quantum field theories for complex scalar and Dirac fields are investigated in non-equilibrium thermo field dynamics. The thermal vacuum is defined by the Bogoliubov transformed creation and annihilation operators. Two…

High Energy Physics - Theory · Physics 2015-06-03 Yuichi Mizutani , Tomohiro Inagaki

It is well known that Minkowski vacuum appears as a thermal bath in the Rindler spacetime when the modes on the left wedge are traced out. We introduce the concept of a Rindler-Rindler spacetime, obtained by a further coordinate…

General Relativity and Quantum Cosmology · Physics 2018-06-20 Sanved Kolekar , T. Padmanabhan

Moving detectors in relativistic quantum field theories reveal the fundamental entangled structure of the vacuum which manifests, for instance, through its thermal character when probed by a uniformly accelerated detector. In this paper, we…

Quantum Physics · Physics 2019-08-21 Benjamin Roussel , Alexandre Feller

We develop a method for computing the Bogoliubov transformation experienced by a confined quantum scalar field in a globally hyperbolic spacetime, due to the changes in the geometry and/or the confining boundaries. The method constructs a…

Quantum Physics · Physics 2021-10-26 Luis C. Barbado , Ana L. Báez-Camargo , Ivette Fuentes

This work concerns some issues about the interplay of standard and geometric (Hamiltonian) approaches to finite-dimensional quantum mechanics, formulated in the projective space. Our analysis relies upon the notion and the properties of…

Mathematical Physics · Physics 2015-12-04 Valter Moretti , Davide Pastorello

We reassess the problem of symmetry restoration induced by observers' acceleration within the context of interacting quantum field theories in Minkowski spacetime. We argue that the imposition of a frame-independent renormalization…

High Energy Physics - Theory · Physics 2024-05-21 Domenico Giuseppe Salluce , Marco Pasini , Antonino Flachi , Antonio Pittelli , Stefano Ansoldi

The observational basis of quantum theory in accelerated systems is studied. The extension of Lorentz invariance to accelerated systems via the hypothesis of locality is discussed and the limitations of this hypothesis are pointed out. The…

High Energy Physics - Theory · Physics 2011-04-11 Bahram Mashhoon

A new and exact derivation of the Bogoliubov coefficients is obtained for the simplest case of a spinless, neutral, massive field in a uniformly accelerated frame with a constant acceleration. The method can be suitably generalized in a…

High Energy Physics - Theory · Physics 2011-06-02 Pietro Longhi , Roberto Soldati

In this work we compare the quantization of a massless scalar field in an inertial frame with the quantization in a rotating frame. We used the Trocheries-Takeno mapping to relate measurements in the inertial and the rotating frames. An…

High Energy Physics - Theory · Physics 2008-11-26 V. A. De Lorenci , R. D. M. De Paola , N. F. Svaiter

We consider the problem of quantum field theory on the Bertotti-Robinson space-time, which arises naturally as the near horizon geometry of an extremal Reissner-Nordstrom black hole but can also arise in certain near-horizon limits of…

General Relativity and Quantum Cosmology · Physics 2015-06-11 Adrian C. Ottewill , Peter Taylor

The acceleration transformations form a 4-parameter Abelian subgroup of the conformal group of Minkowski spacetime. The passive interpretation of acceleration transformations leads to a congruence of uniformly accelerated observers in…

General Relativity and Quantum Cosmology · Physics 2019-08-05 Bahram Mashhoon

The Unruh effect, central to quantum field theory in curved spacetime, states that uniformly accelerated observers perceive the Minkowski vacuum as a thermal ensemble of Rindler excitations. Building on this foundation and drawing analogies…

Quantum Physics · Physics 2025-12-09 Kevin Player

A discussion of relativistic quantum-geometric mechanics on phase space and its generalisation to the propagation of free, massive, quantum-geometric scalar fields on curved spacetimes is given. It is shown that in an arbitrary coordinate…

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

We present an exact treatment of the influences on a quantum scalar field in its Minkowski vacuum state induced by coupling of the field to a uniformly accelerated harmonic oscillator. We show that there are no radiation from the oscillator…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Hyeong-Chan Kim

We study the Hawking temperature, geodesic motion, and observable signatures of the accelerating Bertotti-Robinson (BR) spacetime, a vacuum black-hole solution deformed by a uniform magnetic field $B$ and an acceleration parameter $\alpha$.…

General Relativity and Quantum Cosmology · Physics 2026-03-05 Ahmad Al-Badawi , Faizuddin Ahmed , Edilberto O. Silva

It has been proved in the context of quantum fields in Minkowski spacetime that the vacuum state is a thermal state according to uniformly accelerated observers -- a seminal result known as the Unruh effect. Recent claims, however, have…

General Relativity and Quantum Cosmology · Physics 2019-07-16 Cesar A. Uliana Lima , Frederico Brito , José A. Hoyos , Daniel A. T. Vanzella

A relativistic classical field theory with zero-point radiation involves a vacuum corresponding to a scale-invariant spectrum of random classical radiation in spacetime with the overall constant chosen to give an energy (1/2)\hbar\omega per…

Classical Physics · Physics 2010-11-08 Timothy H. Boyer

We discuss the imaginary-time formalism for field theories in thermal equilibrium in uniformly accelerating frames. We show that under a Wick rotation of Minkowski spacetime, the Rindler event horizon shrinks to a point in a two-dimensional…

High Energy Physics - Theory · Physics 2025-02-20 Victor E. Ambruş , Maxim N. Chernodub