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Although the thermal and radiative effects associated with a two-level quantum system undergoing acceleration are now widely understood and accepted, a surprising amount of controversy still surrounds the simpler and older problem of an…

High Energy Physics - Theory · Physics 2020-11-25 Gabriel Cozzella , Stephen A. Fulling , André G. S. Landulfo , George E. A. Matsas

A fundamentally different approach to path integral quantum mechanics in curved space-time is presented, as compared to the standard approaches currently available in the literature. Within the context of scalar particle propagation in a…

General Relativity and Quantum Cosmology · Physics 2015-05-19 Dinesh Singh , Nader Mobed

Path integrals developed by Richard Feynman have been an important tool in Physics in studying quantum field theory. In mathematics, it has also been widely used in providing formal proofs in the study of Index theorem and asymptotic…

Probability · Mathematics 2017-02-23 Zhehua Li

We explore the quantum coherence between a pair of entangled Unruh-DeWitt detectors, interacting with a quantum field, using a nonperturbative approach in a (3+1)-dimensional Minkowski spacetime with instantaneous switching…

Quantum Physics · Physics 2025-06-18 Shu-Min Wu , Yu-Xuan Wang , Wentao Liu

We investigate the transition probability of a Unruh-deWitt particle detector evolving in flat space and in a wormhole spacetime, in various scenarios. In Minkowski space, we look at the response of the detector on trajectories having…

High Energy Physics - Theory · Physics 2017-05-03 Robert Blaga

We investigate the decoherence of an Unruh-DeWitt detector coupled to scalar, electromagnetic, and spinor fields in four-dimensional Minkowski spacetime. By employing the Schwinger-Keldysh influence functional formalism, we derive a…

General Relativity and Quantum Cosmology · Physics 2026-04-29 Ran Li , Zhong-Xiao Man , Jin Wang

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

Recent progress in the development of superconducting circuits has enabled the realization of interesting sources of nonclassical radiation at microwave frequencies. Here, we discuss field quadrature detection schemes for the experimental…

Quantum Physics · Physics 2012-09-28 C. Eichler , D. Bozyigit , A. Wallraff

The restricted Feynman path integrals (RFPIs) have been proposed to study continuous quantum measurements in physics. The RFPIs are heuristically determined in terms of the usual probability amplitude multiplied by weight for each path,…

Mathematical Physics · Physics 2021-08-20 Wataru Ichinose

We examine an Unruh-DeWitt particle detector coupled to a scalar field in three-dimensional curved spacetime. We first obtain a regulator-free expression for the transition probability in an arbitrary Hadamard state, working within…

General Relativity and Quantum Cosmology · Physics 2012-10-09 Lee Hodgkinson , Jorma Louko

We discuss both the restricted path integral (RPI) and the wave equation (WE) techniques in the theory of continuous quantum measurements. We intend to make Mensky's fresh review complete by transforming his "effective" WE with complex…

Quantum Physics · Physics 2016-09-08 Lajos Diosi

Local path integral quantization of generic 2D dilaton gravity is considered. Locality means that we assume asymptotic fall off conditions for all fields. We demonstrate that in the absence of `matter' fields to all orders of perturbation…

General Relativity and Quantum Cosmology · Physics 2009-10-28 W. Kummer , H. Liebl , D. V. Vassilevich

We analyse the instantaneous transition rate of an accelerated Unruh-DeWitt particle detector whose coupling to a quantum field on Minkowski space is regularised by a finite spatial profile. We show, under mild technical assumptions, that…

General Relativity and Quantum Cosmology · Physics 2007-05-23 J. Louko , A. Satz

The essence of the path integral method in quantum physics can be expressed in terms of two relations between unitary propagators, describing perturbations of the underlying system. They inherit the causal structure of the theory and its…

Quantum Physics · Physics 2020-05-20 Detlev Buchholz , Klaus Fredenhagen

A path-integral approach for the computation of quantum-mechanical propagators and energy Green's functions is presented. Its effectiveness is demonstrated through its application to singular interactions, with particular emphasis on the…

High Energy Physics - Theory · Physics 2007-05-23 Horacio E. Camblong , Carlos R. Ordonez

We investigate the response function of an inertial Unruh-deWitt detector in an impulsive plane wave spacetime. Through symmetry considerations applied to the Wightman function, we demonstrate that the response function remains invariant…

General Relativity and Quantum Cosmology · Physics 2025-06-10 João Paulo M. Pitelli , Ricardo A. Mosna

An approach to approximate evaluation of the continuum Feynman path integrals is developed for the study of quantum fluctuations of particles and fields in Euclidean time-space. The paths are described by sum of Gauss functions and are…

Quantum Physics · Physics 2012-06-20 Takayasu Sekihara

In this work the possibility of detecting the presence of a Yukawa term, as an additional contribution to the usual Newtonian gravitational potential, is introduced. The central idea is to analyze the effects at quantum level employing…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Abel Camacho

The response of the Unruh-DeWitt type monopole detectors which were coupled to the quantum field only for a finite proper time interval is studied for inertial and accelerated trajectories, in the Minkowski vacuum in (3+1) dimensions. Such…

General Relativity and Quantum Cosmology · Physics 2009-10-22 L. Sriramkumar , T. Padmanabhan

We investigate the structure of time-ordered perturbative expansions in quantum field theory (QFT) in curved spacetime, focusing on the interaction between a scalar field and multiple Unruh-DeWitt detectors undergoing uniform acceleration.…

High Energy Physics - Theory · Physics 2025-05-08 Arash Azizi
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