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The observation of gravitational waves opens up a new window to probe the universe and the nature of the gravitational field itself. As a result, they serve as a new and promising tool to not only test our current theories but to study…

General Relativity and Quantum Cosmology · Physics 2024-02-13 Felipe Portales-Oliva , André G. S. Landulfo

The recent interest in modified theories of gravity, involving some type of non-minimal coupling to the Ricci scalar, and the calculation of cosmological observables in the Einstein or the Jordan frame, motivate the formulation of these…

General Relativity and Quantum Cosmology · Physics 2018-06-20 Alexandros Karam , Angelos Lykkas , Kyriakos Tamvakis

An uniformly accelerated (Rindler) observer will detect particles in the Minkowski vacuum, known as Unruh effect. The spectrum is thermal and the temperature is given by that of the Killing horizon, which is proportional to the…

General Relativity and Quantum Cosmology · Physics 2018-02-07 Ananya Adhikari , Krishnakanta Bhattacharya , Chandramouli Chowdhury , Bibhas Ranjan Majhi

We construct a theory of fields living on continuous geometries with fractional Hausdorff and spectral dimensions, focussing on a flat background analogous to Minkowski spacetime. After reviewing the properties of fractional spaces with…

High Energy Physics - Theory · Physics 2012-01-19 Gianluca Calcagni

This paper studies the quantization of the electromagnetic field on a flat Euclidean background with boundaries. One-loop scaling factors are evaluated for the one-boundary and two-boundary backgrounds. The mode-by-mode analysis of…

General Relativity and Quantum Cosmology · Physics 2009-10-28 G. Esposito , A. Yu. Kamenshchik , I. V. Mishakov , G. Pollifrone

It was shown that the particle distribution detected by a uniformly accelerated observer in the inertial vacuum (Unruh effect) deviates from the pure Planckian spectrum when considering the superposition of fields with different masses.…

High Energy Physics - Theory · Physics 2021-08-11 Giuseppe Gaetano Luciano , Massimo Blasone

In recent years the idea that not only the configuration space of particles, i.e. spacetime, but also the corresponding momentum space may have nontrivial geometry has attracted significant attention, especially in the context of quantum…

High Energy Physics - Theory · Physics 2016-06-28 Jakub Mielczarek , Tomasz Trzesniewski

The relative entropy between very high energy localized excitations and the vacuum, where both states are reduced to a spatial region, gives place to a precise definition of a local temperature produced by vacuum entanglement across the…

High Energy Physics - Theory · Physics 2017-12-06 Raul Arias , Horacio Casini , Marina Huerta , Diego Pontello

We propose a scheme to study the effect of motion on measurements of a quantum field carried out by a finite-size detector. We introduce a model of projective detection of a localised field mode in an arbitrary reference frame. We apply it…

Quantum Physics · Physics 2014-05-29 Andrzej Dragan , Jason Doukas , Eduardo Martin-Martinez , David Edward Bruschi

The incorporation of classical general relativity into quantum field theory yields a surprising result -- thermodynamic particle production. One such phenomenon, known as the Unruh effect, causes empty space to effervesce a thermal bath of…

General Relativity and Quantum Cosmology · Physics 2022-05-16 Morgan H. Lynch

In a model of nonlinear system of three scalar fields the problem on dynamics of a massive particle moving in effective potential provided by two relativistic fields is solving. The potentials for these fields are chosen in the form of…

High Energy Physics - Theory · Physics 2007-05-23 V. E. Kuzmichev , V. V. Kuzmichev

The purpose of this review is to provide a pedagogical development of the Unruh effect and the thermofield double state. In Section 2, we construct Rindler spacetime and analyze the perspective of an observer undergoing constant…

High Energy Physics - Theory · Physics 2025-10-15 Gustavo Valdivia-Mera

Quantum entanglement of the Minkowski vacuum state between left and right Rindler wedges generates thermal behavior in the right Rindler wedge, which is known as the Unruh effect. In this letter, we show that there is another consequence of…

High Energy Physics - Theory · Physics 2017-08-09 Satoshi Iso , Rumi Tatsukawa , Kazushige Ueda , Kazuhiro Yamamoto

The use of proper time as a tool for causality implementation in field theory is clarified and extended to allow a manifestly covariant definition of discrete fields proper to be applied in field theory and quantum mechanics. It implies on…

High Energy Physics - Theory · Physics 2007-05-23 Manoelito M de Souza

The paper discusses some scalar invariants in the gravitational field and electromagnetic field by means of the characteristics of the quaternions. When we emphasize some definitions of quaternion physical quantities, the speed of light,…

General Physics · Physics 2010-07-16 Zihua Weng

We investigate using Clifford algebra methods the theory of algebraic dotted and undotted spinor fields over a Lorentzian spacetime and their realizations as matrix spinor fields, which are the usual dotted and undotted two component spinor…

Mathematical Physics · Physics 2014-11-18 E. Capelas de Oliveira , Waldyr A. Rodrigues

A great deal of evidence has been mounting over the years showing a deep connection between acceleration, radiation, and the Unruh effect. Indeed, the fact that the Unruh effect can be codified in the Larmor radiation emitted by the charge…

General Relativity and Quantum Cosmology · Physics 2022-09-07 Felipe Portales-Oliva , André G. S. Landulfo

The correspondence between Riemann-Finsler geometries and effective field theories with spin-independent Lorentz violation is explored. We obtain the general quadratic action for effective scalar field theories in any spacetime dimension…

High Energy Physics - Theory · Physics 2018-10-18 Benjamin R. Edwards , Alan Kostelecky

We study the quantization of many-body systems in two dimensions in rotating coordinate frames using a gauge invariant formulation of the dynamics. We consider reference frames defined by linear and quadratic gauge conditions. In both cases…

Quantum Physics · Physics 2008-11-26 Jose Mendez Gamboa , Antonio O. Bouzas

The Hamiltonians of $SU(2)$ and $SU(3)$ gauge theories in 3+1 dimensions can be expressed in terms of gauge invariant spatial geometric variables, i.e., metrics, connections and curvature tensors which are simple local functions of the…

High Energy Physics - Theory · Physics 2009-10-28 Daniel Z. Freedman