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Related papers: Uniformly accelerated detector in the $\kappa$-def…

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In this paper, we study the effect of $\kappa$-deformation of the space-time on the response function of a uniformly accelerating detector coupled to a scalar field. Starting with $\kappa$-deformed Klein-Gordon theory, which is invariant…

High Energy Physics - Theory · Physics 2015-06-05 E. Harikumar , A. K. Kapoor , Ravikant Verma

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

In this paper, we derive the Dirac equation in the $\kappa$-deformed Minkowski space-time. We start with $\kappa$-deformed Minkowski space-time and investigate the undeformed $\kappa$-Lorentz transformation valid to all order in the…

High Energy Physics - Theory · Physics 2014-11-03 Ravikant Verma

We investigate unitarily inequivalent representations of the algebra of operators in quantum field theory in the cases where there is a Fock representation of the commutation relations. We examine more closely the operational definition of…

High Energy Physics - Theory · Physics 2025-05-15 F. Sobrero , M. S. Soares , T. Guerreiro , N. F. Svaiter

In this paper, we study the power spectrum of the uniformly accelerating scalar field, obeying the $\kappa$-deformed Klein-Gordon equation. From this we obtain the $\kappa$-deformed corrections to the Unruh temperature, valid up to first…

High Energy Physics - Theory · Physics 2024-06-25 Vishnu Rajagopal

We study the response of an accelerated Unruh-DeWitt detector to a one-parameter family of ``kappa Rindler'' vacua, which generalize the standard Unruh effect. These states, parameterized by $\kappa$, continuously interpolate between the…

High Energy Physics - Theory · Physics 2025-09-09 Arash Azizi

We construct a Dirac equation in $\kappa$-Minkowski spacetime and analyse its implications. This $\kappa$-deformed Dirac equation is expanded as a power series involving derivatives with respect to commutative coordinates and the…

High Energy Physics - Theory · Physics 2011-07-28 E. Harikumar , M. Sivakumar , N. Srinivas

While the Unruh effect has traditionally been studied under the assumption of uniform acceleration, a simplification motivated by experimental considerations, it is not necessarily true for all non-inertial motions. We propose a novel…

General Relativity and Quantum Cosmology · Physics 2026-01-01 Manuel de Atocha Rodríguez Fernández , Alexander I. Nesterov , Gennady P. Berman , C. Moreno-González

In this paper, we study the quantisation of Dirac field theory in the $\kappa$-deformed space-time. We adopt a quantisation method that uses only equations of motion for quantising the field. Starting from $\kappa$-deformed Dirac equation,…

High Energy Physics - Theory · Physics 2020-12-24 E. Harikumar , Vishnu Rajagopal

We obtained an exact solution for a uniformly accelerated Unruh-DeWitt detector interacting with a massless scalar field in (3+1) dimensions which enables us to study the entire evolution of the total system, from the initial transient to…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Shih-Yuin Lin , B. L. Hu

We examine an Unruh-DeWitt particle detector that is coupled linearly to the scalar density of a massless Dirac field in Minkowski spacetimes of dimension $d\ge2$ and on the static Minkowski cylinder in spacetime dimension two, allowing the…

General Relativity and Quantum Cosmology · Physics 2016-09-20 Jorma Louko , Vladimir Toussaint

Using nonperturbative results obtained recently for an uniformly accelerated Unruh-DeWitt detector, we discover new features in the dynamical evolution of the detector's internal degree of freedom, and identified the Unruh effect derived…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Shih-Yuin Lin , B. L. Hu

We revisit the Unruh effect within a general framework based on direct, probability-level calculations. We rederive the transition rate of a uniformly accelerating Unruh-DeWitt monopole detector coupled to a massive scalar field, from both…

High Energy Physics - Theory · Physics 2025-01-13 Robert Dickinson , Jeff Forshaw , Ross Jenkinson , Peter Millington

In a flat spacetime with one spatial dimension compactified, inertial reference frames are not all equivalent, but there are the preferred ones. This paper investigates the nonequivalence of inertial frames and also that of uniformly…

General Relativity and Quantum Cosmology · Physics 2018-06-20 Dah-Wei Chiou

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

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

We study the response of a uniformly accelerated detector modeled by a two-level atom nonlinearly coupled to vacuum massless Rarita-Schwinger fields. We first generalize the formalism developed by Dalibard, Dupont-Roc, and Cohen-Tannoudji…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Qinglin Li , Hongwei Yu , Wenting Zhou

In this work we discuss the process of measurements by a detector in an uniformly accelerated rectilinear motion, interacting linearly with a massive scalar field. The detector model for field quanta is a point-like system with a ground…

High Energy Physics - Theory · Physics 2021-05-05 M. S. Soares , N. F. Svaiter , C. A. D. Zarro , G. Menezes

This study of U(1) gauge field theory on the kappa-deformed Minkowski spacetime extends previous work on gauge field theories on this type of noncommutative spacetime. We discuss in detail the properties of the Seiberg-Witten map and the…

High Energy Physics - Theory · Physics 2016-09-06 Marija Dimitrijevic , Larisa Jonke , Lutz Möller

In this paper we analyze the interaction of a uniformly accelerated detector with a quantum field in (3+1)D spacetime, aiming at the issue of how kinematics can render vacuum fluctuations the appearance of thermal radiance in the detector…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Shih-Yuin Lin , B. L. Hu
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