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The large N limit of a one-dimensional infinite chain of random matrices is investigated. It is found that in addition to the expected Kosterlitz--Thouless phase transition this model exhibits an infinite series of phase transitions at…

High Energy Physics - Theory · Physics 2009-07-09 A. Matytsin , P. Zaugg

An extended monopole detector at constant acceleration coupled to a massless scalar field is allowed to evolve quantum mechanically. It is found that while in the classical, followed by the point particle, limit the usual result Unruh…

Quantum Physics · Physics 2009-10-28 Roberto Casadio , Giovanni Venturi

We analyze the transformation of quantum fields under conformal coordinate transformations from inertial to accelerated frames, in the simple case of scalar massless fields in a two-dimensional spacetime, through the transformation of…

Quantum Physics · Physics 2008-11-26 Marc-Thierry Jaekel , Serge Reynaud

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

Does the measurement of a quantum system necessarily break Lorentz invariance? We present a simple model of a detector that measures the spacetime localization of a relativistic particle in a Lorentz invariant manner. The detector does not…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Donald Marolf , Carlo Rovelli

We compute the transition rate of an Unruh-DeWitt detector coupled both to a ground state and to a KMS state of a massless, conformally coupled scalar field on a static BTZ black hole with Robin boundary conditions. We observe that,…

High Energy Physics - Theory · Physics 2021-03-30 Lissa de Souza Campos , Claudio Dappiaggi

It has been known for some time that the classical concept of radiation is not covariant: for uniformly accelerated particles, it depends on the state of motion of the observer relative to the particle emitting it. Moreover, recent…

General Relativity and Quantum Cosmology · Physics 2024-06-27 Felipe Ignacio Portales Oliva

We show how two Unruh-DeWitt detectors that do not couple to the zero mode of a quantum field can exchange information faster than the speed of light. We analyze the specific cases of periodic and Neumann boundary conditions in flat…

Quantum Physics · Physics 2019-03-28 Erickson Tjoa , Eduardo Martin-Martinez

We study a two-level atom in interaction with a real massless scalar quantum field in a spacetime with a reflecting boundary. The presence of the boundary modifies the quantum fluctuations of the scalar field, which in turn modifies the…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Hongwei Yu , Shizhuan Lu

Modeling the qubit by a two-level semiclassical detector coupled to a massless scalar field, we investigate how the Unruh effect affects the nonlocality and entanglement of two-qubit and three-qubit states when one of the entangled qubits…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Zehua Tian , Jieci Wang , Jiliang Jing

We provide expansions of the Detweiler-Whiting singular field for motion along arbitrary, planar accelerated trajectories in Schwarzschild spacetime. We transcribe these results into mode-sum regularization parameters, computing previously…

General Relativity and Quantum Cosmology · Physics 2022-09-28 Anna Heffernan , Adrian C. Ottewill , Niels Warburton , Barry Wardell , Peter Diener

We analyze the response of a detector with a uniform acceleration $\alpha$ in $\kappa-$Minkowski spacetime using the first order perturbation theory. The monopole detector is coupled to a massless complex scalar field in such a way that it…

High Energy Physics - Theory · Physics 2009-01-30 Hyeong-Chan Kim , Jae Hyung Yee , Chaiho Rim

Physical path integral formulation of motion of particles in Riemannian spaces is outlined and extended to deduce the corresponding field theoretical formulation. For the special case of a zero rest mass particle in Minkowski manifold, it…

Quantum Physics · Physics 2007-05-23 S. R. Vatsya

We study the behavior of a quantum particle trapped in a confining potential in one dimension under multiple sudden changes of velocity and/or acceleration. We develop the appropriate formalism to deal with such situation and we use it to…

Quantum Physics · Physics 2022-06-06 Paolo Amore , Francisco M. Fernández , Jose Luis Valdez

We prove an analogue statement to an estimate by De Lellis-M\"uller in $\mathbb{R}^3$ on the standard Minkowski lightcone. More precisely, we show that under some additional assumptions, any spacelike cross section of the standard lightcone…

Differential Geometry · Mathematics 2023-06-21 Markus Wolff

We examine a quantised massive scalar field in $(1+1)$-dimensional spatially compact cosmological spacetimes in which the early time and late time expansion laws provide distinguished definitions of Fock "in" and "out" vacua, with the…

General Relativity and Quantum Cosmology · Physics 2021-05-19 Vladimir Toussaint , Jorma Louko

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

Inspired by quantum gravity frameworks predicting Planck-scale deviations from Lorentz invariance, we probe Lorentz symmetry violation via modified dispersion relations $\omega_{|\textbf{k}|}$. Departing from conventional approaches, we…

General Relativity and Quantum Cosmology · Physics 2025-07-24 Hao Xu

In a quantum sense, vacuum is not an empty void but full of virtual particles (fields). It may have long-range properties, be altered, and even undergo phase transitions. It is suggested that long-range properties of a quantum vacuum may be…

High Energy Physics - Theory · Physics 2022-09-28 Shijing Cheng , Wenting Zhou , Hongwei Yu

A single real scalar field of spin zero obeying the Klein-Gordon equation in flat space-time under external conditions is considered in the context of the spin-statistics connection. An imposed accelerated boundary on the field is made to…

General Relativity and Quantum Cosmology · Physics 2015-03-20 Michael R. R. Good
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