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If an Unruh-DeWitt detector operates for an infinite proper time along the trajectory of a uniformly accelerated observer in Fock space then induced transition rate of the detector is proportional to Planck distribution. For a realistic…

General Relativity and Quantum Cosmology · Physics 2017-01-20 Golam Mortuza Hossain , Gopal Sardar

We analyse the quantization procedure of the spinor field in the Rindler spacetime, showing the boundary conditions that should be imposed to the field, in order to have a well posed theory. Because of these boundary conditions we argue…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Daniele Oriti

Unruh effect is a landmark prediction of standard quantum field theory in which Fock vacuum state appears as a thermal state with respect to an uniformly accelerating observer. Given its dependence on trans-Planckian modes, Unruh effect is…

General Relativity and Quantum Cosmology · Physics 2016-12-07 Golam Mortuza Hossain , Gopal Sardar

We have analyzed the Unruh problem in the frame of quantum field theory and have shown that the Unruh quantization scheme is valid in the double Rindler wedge rather than in Minkowski spacetime. The double Rindler wedge is composed of two…

High Energy Physics - Theory · Physics 2009-10-31 N. B. Narozhny , A. M. Fedotov , B. M. Karnakov , V. D. Mur , V. A. Belinskii

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

It is shown using both conventional and algebraic approach to quantum field theory that it is impossible to perform quantization on Unruh modes in Minkowski spacetime. Such quantization implies setting boundary condition for the quantum…

High Energy Physics - Theory · Physics 2016-09-06 A. M. Fedotov , V. D. Mur , N. B. Narozhny , V. A. Belinskii , B. M. Karnakov

We show that uniformly accelerated detectors can display genuinely thermal features even if the Kubo-Martin-Schwinger (KMS) condition fails to hold. These features include satisfying thermal detailed balance and having a Planckian response…

Quantum Physics · Physics 2019-07-31 Raul Carballo-Rubio , Luis J. Garay , Eduardo Martin-Martinez , Jose de Ramon

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

We study quantum gravity signatures emerging from phenomenologically motivated multiscale models, spectral actions, and Causal Set Theory within the detector approach to the Unruh effect. We show that while the Unruh temperature is…

General Relativity and Quantum Cosmology · Physics 2016-12-07 Natalia Alkofer , Giulio D'Odorico , Frank Saueressig , Fleur Versteegen

We analyse the quantization procedure of the spinor field in the Rindler spacetime, showing the boundary conditions that should be imposed to the field, in order to have a well posed theory. We then investigate the relationship between this…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Daniele Oriti

The Unruh effect states an accelerated particle detector registers a thermal response when moving through the Minkowski vacuum, and its thermal feature is believed to be inseparable from Lorentz symmetry: Without the latter, the former…

Quantum Physics · Physics 2022-09-19 Zehua Tian , Longhao Wu , Liang Zhang , Jiliang Jing , Jiangfeng Du

We study the thermalization of smeared particle detectors that couple locally to $any$ operator in a quantum field theory in curved spacetimes. We show that if the field state satisfies the KMS condition with inverse temperature $\beta$…

Quantum Physics · Physics 2021-09-07 T. Rick Perche

The nonlocal field theory commonly requires a minimal length, and so it appears to formulate the nonlocal theory in terms of the doubly special relativity which makes the speed of light and the minimal length invariant simultaneously. We…

General Physics · Physics 2018-08-15 Yongwan Gim , Hwajin Um , Wontae Kim

Many quantum theories of gravity propose Lorentz violating dispersion relations of the form $\omega = |k|\, f(|k|/M)$, with recovery of approximate Lorentz invariance at energy scales much below $M$. We show that a quantum field with this…

General Relativity and Quantum Cosmology · Physics 2016-02-17 Viqar Husain , Jorma Louko

The saddle point approximation of the path integral partition functions is an important way of deriving the thermodynamical properties of black holes. However, there are certain black hole models and some mathematically analog mechanical…

General Relativity and Quantum Cosmology · Physics 2015-11-11 Hugo A. Morales-Técotl , Daniel H. Orozco-Borunda , Saeed Rastgoo

In the framework of the general boundary formulation (GBF) of scalar quantum field theory we obtain a coincidence of expectation values of local observables in the Minkowski vacuum and in a particular state in Rindler space. This…

High Energy Physics - Theory · Physics 2013-03-19 Daniele Colosi , Dennis Raetzel

Utilizing quantum coherence monotone, we reexamine the thermal nature of the Unruh effect of an accelerating detector. We consider an UDW detector coupling to a n-dimensional conformal field in Minkowski spacetime, whose response spectrum…

High Energy Physics - Theory · Physics 2022-05-20 Jun Feng , Jing-Jun Zhang , Yihao Zhou

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

The Wightman function i.e. vacuum two-point function, for a massless free scalar field in Fock quantization is inversely proportional to the invariant distance squared between the corresponding spacetime points. Naturally it diverges when…

General Relativity and Quantum Cosmology · Physics 2017-05-04 Golam Mortuza Hossain , Gopal Sardar

We revisit the coordinate coherent states approach through two different quantization procedures in the quantum field theory on the noncommutative Minkowski plane. The first procedure, which is based on the normal commutation relation…

High Energy Physics - Theory · Physics 2012-12-21 Yan-Gang Miao , Shao-Jun Zhang
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