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We examine the influence of the dispersion relation on the Unruh effect by Lorentz boosting the phase of Minkowski vacuum fluctuations endowed with an arbitrary dispersion relation. We find that, unlike what happens with a linear dispersion…

General Relativity and Quantum Cosmology · Physics 2021-04-28 F. Hammad , A. Landry , D. Dijamco

In this work, based on the worldline path integral representation of the vacuum energy in spacetime with a Lorentzian metric, we provide a new but complementary interpretation of the Unruh effect. We perform the quantization of the massless…

High Energy Physics - Theory · Physics 2018-09-26 J. A. Rosabal

A physically meaningful local concept of temperature is introduced in quantum field theory on curved spacetime and applied to the example of a massless field on de Sitter space. It turns out in this model that the equilibrium (Gibbs) states…

General Relativity and Quantum Cosmology · Physics 2010-11-02 Detlev Buchholz , Jan Schlemmer

In the celebrated Unruh effect, we learn that a uniformly accelerating detector in a Minkowski vacuum spacetime registers a constant temperature. Building on prior work, we present a technique based on derivative couplings of the two-point…

General Relativity and Quantum Cosmology · Physics 2018-04-19 Aditya Dhumuntarao , José Tomás Gálvez Ghersi , Niayesh Afshordi

In thermal quantum field theory, the global Liouvillian (the generator of time translations) is passive. How is this reflected in the properties of its local density, a quantum field? We propose that the locally averaged density is bounded…

Mathematical Physics · Physics 2025-11-25 Henning Bostelmann , Daniela Cadamuro , Leonardo Sangaletti

We study the mechanism of global embeddings into the Minkowski spacetime(GEMS) with the Hawking into Unruh mapping. We find a constraint that the extrinsic acceleration of the static observer in the Riemann space must satisfy for such…

General Relativity and Quantum Cosmology · Physics 2014-10-16 Wen-Yuan Ai , Hua Chen , Jian-Bo Deng

We give a complete and rigorous proof of the Unruh effect, in the following form. We show that the state of a two-level system, uniformly accelerated with proper acceleration $a$, and coupled to a scalar bose field initially in the…

Mathematical Physics · Physics 2008-11-26 S. De Bievre , M. Merkli

Finsler geometry motivates a generalization of the Riemannian structure of spacetime to include dependence of the spacetime metric and associated invariant tensor fields on the four-velocity coordinates as well as the spacetime coordinates…

High Energy Physics - Theory · Physics 2007-05-23 Howard E. Brandt

Algebraic quantization has been applied on the class of globally hyperbolic spacetime for many decades, leading to remarkable results. Nonetheless, the presence of a boundary calls for a separate treatment, since, in general, it breaks…

Mathematical Physics · Physics 2015-12-23 Gabriele Nosari

Quantum inequalities are bounds on negative time-averages of the energy density of a quantum field. They can be used to rule out exotic spacetimes in general relativity. We study quantum inequalities for a scalar field with a background…

General Relativity and Quantum Cosmology · Physics 2014-07-16 Eleni-Alexandra Kontou , Ken D. Olum

While the robustness of Hawking radiation in the presence of UV Lorentz breaking is well-established, the Unruh effect has posed a challenge, with a large literature concluding that even the low-energy restoration of Lorentz invariance may…

General Relativity and Quantum Cosmology · Physics 2025-04-23 F. Del Porro , M. Herrero-Valea , S. Liberati , M. Schneider

The thermal spectrum seen by accelerated observers in Minkowski space - known as the Unruh effect - is derived within the tunneling mechanism. This is a new result in this mechanism and it completes the treatment of Unruh effect via…

High Energy Physics - Theory · Physics 2009-11-13 Debraj Roy

We consider coordinate systems adapted to accelerated observers, construct a generalised Rindler metric and then adopt a specific form of it to compute the semiclassical Unruh temperature, using a WKB approximation within a Hamilton Jacobi…

High Energy Physics - Theory · Physics 2009-01-06 Rabin Banerjee , Bibhas Ranjan Majhi , Debraj Roy

Macroscopic concepts pertaining to the Unruh effect are elaborated and used to clarify its physical manifestations. Based on a description of the motion of accelerated, spatially extended laboratories in Minkowski space in terms of…

General Relativity and Quantum Cosmology · Physics 2015-12-16 Detlev Buchholz , Rainer Verch

Within any anticipated unifying theory of quantum gravity, it should be meaningful to combine the fundamental notions of quantum superposition and spacetime to obtain so-called "spacetime superpositions": that is, quantum superpositions of…

General Relativity and Quantum Cosmology · Physics 2023-03-08 Joshua Foo , Cemile Senem Arabaci , Magdalena Zych , Robert B. Mann

For an arbitrary quantum field in flat space with a planar boundary, an entropy of entanglement, associated with correlations across the boundary, is present when the field is in its vacuum state. The vacuum state of the same quantum field…

High Energy Physics - Theory · Physics 2008-11-26 D. Kabat , M. J. Strassler

In the 1970s, Fulling, Davies, and Unruh demonstrated that the vacuum state perceived by an inertial observer in Minkowski space appears as a thermal bath to a uniformly accelerated observer. We explore the transformation of the Wigner…

General Relativity and Quantum Cosmology · Physics 2025-03-04 Nitesh K. Dubey , Sanved Kolekar

It was suggested by Unruh that a uniformly accelerated detector in vacuum would perceive a noise with a thermal distribution. We obtain a representation of solutions of the wave equation in two dimensions suitable for the Rindler regions.…

High Energy Physics - Theory · Physics 2013-02-28 I. Ya. Aref'eva , I. V. Volovich

Unruh has commented upon my recent proof that certain predictions of quantum theory are incompatible with the assertion that no influence of any kind acts backward in time in any Lorentz frame. Unruh fails to make a necessary distinction…

Quantum Physics · Physics 2007-05-23 Henry P. Stapp

Based on the Unruh effect, we calculate the critical acceleration for the Bose-Einstein condensation in a free complex scalar field at finite density in the Rindler space. Our model corresponds to an ideal gas performing constantly…

High Energy Physics - Theory · Physics 2023-09-22 Shingo Takeuchi