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We derive a master equation for the reduced density matrix of a uniformly accelerating quantum detector in arbitrary dimensions, generically coupled to a field initially in its vacuum state, and analyze its late time regime. We find that…

General Relativity and Quantum Cosmology · Physics 2021-09-06 Julio Arrechea , Carlos Barceló , Luis J. Garay , Gerardo García-Moreno

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 treat an Unruh-DeWitt detector as an open quantum system and evaluate the response of a uniformly accelerated detector: (i) interacting locally with the derivatives of a massless scalar field and (ii) linearly coupled to an…

General Relativity and Quantum Cosmology · Physics 2018-09-17 Dimitris Moustos

We analyze the response of an Unruh-DeWitt detector moving along an unbounded spatial trajectory in a two-dimensional spatial plane with constant independent magnitudes of both the four-acceleration and of a timelike proper time derivative…

General Relativity and Quantum Cosmology · Physics 2014-06-17 Shohreh Abdolrahimi

Usually, the realizations of the noncommutative Snyder model lead to a nonassociative star product. However, it has been shown that this problem can be avoided by adding to the spacetime coordinates new tensorial degrees of freedom. The…

General Physics · Physics 2021-10-13 S. Meljanac , S. Mignemi

A velocity of a point particle in the kappa-Minkowski spacetime is investigated. Characteristic points of the spacetime are that the Poincare group becomes a quantum group with kappa, which is a mass dimension parameter, and is a kind of…

High Energy Physics - Theory · Physics 2007-05-23 Ken-Ichi Tezuka

The $\kappa$-Minkoswki space-time provides a quantum noncommutative-deformation of the usual Minkowski space-time. However, a notion of causality is difficult to be defined in such a space with noncommutative time. In this paper, we define…

Mathematical Physics · Physics 2022-10-06 Nicolas Franco , Jean-Christophe Wallet

Recently, interest has been growing in studies on discrete or "pixelated" space-time that, through modifications in the dispersion relation, can treat the vacuum as a dispersive medium. Discrete spacetime considers that spacetime has a…

High Energy Physics - Theory · Physics 2025-01-16 Pedro H. M. Barros , Helder A. S. Costa

We argue that a scalar field in de Sitter spacetime should feel explicit thermal effects associated with its curvature. Starting from the Bunch-Davies vacuum and a scalar field with small mass compared to the de Sitter curvature, we use the…

High Energy Physics - Theory · Physics 2025-12-08 Nikos Irges , Antonis Kalogirou , Fotis Koutroulis

We propose a scalar background in Minkowski spacetime imparting constant proper acceleration to a classical particle. In contrast to the case of a constant electric field the proposed scalar potential does not create particle-antiparticle…

High Energy Physics - Theory · Physics 2009-11-07 A. M. Fedotov , N. B. Narozhny , V. D. Mur , V. A. Belinski

The Poincar\'e sector of a recently deformed conformal algebra is proposed to describe, after the identification of the deformation parameter with the Planck length, the symmetries of a new relativistic theory with two observer-independent…

High Energy Physics - Theory · Physics 2016-11-09 Nicola Rossano Bruno

We consider a particle detector model on 1+1-dimensional Minkowski space-time that is accelerated by a constant external acceleration a. The detector is coupled to a massless scalar test field. Due to the Unruh effect, this detector becomes…

High Energy Physics - Theory · Physics 2013-05-14 Franz Thoma

In this study, we investigate the effects of the one and two-parameters deformed systems on the Friedmann equations of the Friedmann-Robertson-Walker (FRW) universe in the context of the entropic gravity approach. We give simplified forms…

High Energy Physics - Theory · Physics 2020-06-02 Salih Kibaroğlu , Mustafa Senay

We examine the UV/IR mixing property on a $\kappa$-deformed Euclidean space for a real scalar $\phi^4$ theory. All contributions to the tadpole diagram are explicitly calculated. UV/IR mixing is present, though in a different dressing than…

High Energy Physics - Theory · Physics 2010-04-05 Harald Grosse , Michael Wohlgenannt

Two one-parameter families of twists providing kappa-Minkowski * -product deformed spacetime are considered: Abelian and Jordanian. We compare the derivation of quantum Minkowski space from two perspectives. The first one is the Hopf module…

Mathematical Physics · Physics 2009-06-30 A. Borowiec , A. Pachol

We show that Casimir-Polder forces between two relativistic uniformly accelerated atoms exhibit a transition from the short distance thermal-like behavior predicted by the Unruh effect, to a long distance non-thermal behavior, associated…

Quantum Physics · Physics 2014-07-16 J. Marino , A. Noto , R. Passante

We study the noncommutative $U(1)$ gauge theory on the $\kappa$-Minkowski space-time at the semiclassical approximation. We construct exact solutions of the deformed Maxwell equations in vacuum, describing localized signals propagating in a…

General Physics · Physics 2025-11-04 M. A. Kurkov

We use Generalized Fermi-Walker transport to construct a one-parameter family of inertial frames which are instantaneously comoving to a uniformly accelerated observer. We explain the connection between our approach and that of Mashhoon. We…

General Physics · Physics 2015-06-15 Yaakov Friedman , Tzvi Scarr

The effects of phase space deformations on Kalutza-Klein cosmology are studied. The deformation is introduced by modifying the symplectic structure of the minisuperspace variables. In the deformed model, we find an accelerating scale factor…

General Relativity and Quantum Cosmology · Physics 2016-03-30 M. Sabido , C. Yee-Romero

Derived from semi-classical quantum field theory in curved spacetime, Unruh effect was known as a quantum effect. We find that there does exist a classical correspondence of this effect in electrodynamics. The thermal nature of the vacuum…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Shih-Yuin Lin