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We show how quantum fields can be used to measure the curvature of spacetime. In particular, we find that knowledge of the imprint that spacetime curvature leaves in the correlators of quantum fields suffices, in principle, to reconstruct…

General Relativity and Quantum Cosmology · Physics 2016-03-02 Mehdi Saravani , Siavash Aslanbeigi , Achim Kempf

We argue that the conventional quantum field theory in curved spacetime has a grave drawback: The canonical commutation relations for quantum fields and conjugate momenta do not hold. Thus the conventional theory should be denounced and the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Vladimir S. Mashkevich

Based on the concept of curved spacetime in Einsteinian General Relativity, the field theories and their quantum theories in the curved octonion spaces etc are discussed. The research results discover the close relationships of the curved…

General Physics · Physics 2011-11-10 Zihua Weng

In this paper we consider a static and regular fluid generating a locally spherically symmetric and time-independent space-time and calculate the leading quantum corrections to the metric to first order in curvature. Starting from a…

High Energy Physics - Theory · Physics 2020-07-13 Xavier Calmet , Roberto Casadio , Folkert Kuipers

We write the curvature of spacetime in terms of the excitation probability of particle detectors ultra-rapidly coupled to a quantum field. More precisely, we provide an expansion for the excitation probability of a smeared UDW detector…

Quantum Physics · Physics 2022-06-20 T. Rick Perche , Ahmed Shalabi

This paper claims that local space-time curvature can non-trivially contribute to the properties of orbital angular momentum in quantum mechanics. Of key importance is the demonstration that an extended orbital angular momentum operator due…

General Relativity and Quantum Cosmology · Physics 2011-04-28 Dinesh Singh , Nader Mobed

Some general remarks are made about the quantum theory of scalar fields and the definition of momentum in curved space. Special emphasis is given to field theory in anti-de Sitter space, as it represents a maximally symmetric space-time of…

High Energy Physics - Theory · Physics 2008-02-03 Simon Davis

The curvature of a spacetime, either in a topological sense, or averaged over super-horizon-sized patches, is often equated with the global curvature term that appears in Friedmann's equation. In general, however, the Universe is…

Cosmology and Nongalactic Astrophysics · Physics 2021-04-21 Chi Tian , Stefano Anselmi , Matthew F. Carney , John T. Giblin , James Mertens , Glenn Starkman

We present a systematic study of one-loop quantum corrections in scalar effective field theories from a geometric viewpoint, emphasizing the role of field-space curvature and its renormalisation. By treating the scalar fields as coordinates…

High Energy Physics - Theory · Physics 2025-07-28 Patrick Aigner , Luigi Bellafronte , Emanuele Gendy , Dominik Haslehner , Andreas Weiler

The effective action for quantum fields on a $d$-dimensional spacetime can be computed using a non local expansion in powers of the curvature. We show explicitly that, for conformal fields and up to quadratic order in the curvature, the non…

High Energy Physics - Theory · Physics 2009-10-31 Ezequiel Alvarez , Francisco D. Mazzitelli

The aim of these notes is to elucidate some aspects of quantum field theory in curved spacetime, especially those relating to the notion of particles. A selection of issues relevant to wave-particle duality is given. The case of a generic…

General Physics · Physics 2008-03-13 Vladimir Mashkevich

Quantum fluctuations on curved spacetimes cause the emission of pairs of particles from the quantum vacuum, as in the Hawking effect from black holes. We use an optical analogue to gravity to investigate the influence of the curvature on…

General Relativity and Quantum Cosmology · Physics 2020-11-04 Maxime J Jacquet , Friedrich Koenig

We study gravitational curvature effects in circular and radial geodesics in static, spherically symmetric space-times, using Fermi normal coordinates. We first set up these coordinates in the general case, and then use this to study…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Anshuman Dey , Abhisek Samanta , Tapobrata Sarkar

We highlight some universal features concerning the role of spacetime curvature in the entanglement induced between quantum probes coupled to a quantum field in a suitable vacuum state. The probes are initially causally disconnected and…

General Relativity and Quantum Cosmology · Physics 2024-03-20 Hari K , Subhajit Barman , Dawood Kothawala

Worldline quantum inequalities provide lower bounds on weighted averages of the renormalised energy density of a quantum field along the worldline of an observer. In the context of real, linear scalar field theory on an arbitrary globally…

General Relativity and Quantum Cosmology · Physics 2009-10-31 C. J. Fewster

We propose a fully covariant model for smeared particle detectors in quantum field theory in curved spacetimes. We show how effects related to accelerated motion of the detector and the curvature of spacetime influence the way different…

Quantum Physics · Physics 2020-06-26 Eduardo Martín-Martínez , T. Rick Perche , Bruno de S. L. Torres

The influence od space-time curvature on quantum matter which can be theoretically described by covariant wave equations has not been experimentally established yet. In this paper we analyse in detail the suitability of the Ramsey atom beam…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Jürgen Audretsch , Karl-Peter Marzlin

In this paper, we study a free scalar field in a specific (1+1)-dimensional curved spacetime. By introducing an algebraic state that is locally Hadamard, we derive the renormalized Wightman function and explicitly calculate the covariantly…

High Energy Physics - Theory · Physics 2025-12-18 Jeongwon Ho , O-Kab Kwon , Sang-Heon Yi

We review the theory of quantum fields propagating in an arbitrary, classical, globally hyperbolic spacetime. Our review emphasizes the conceptual issues arising in the formulation of the theory and presents known results in a…

General Relativity and Quantum Cosmology · Physics 2015-06-18 Stefan Hollands , Robert M. Wald

A method of general applicability has been developed, whereby the null geodesic equations of the Einstein-Straus-de Sitter metric can be integrated simultaneously in terms of the curvature constant $k$. The purpose is to generalize the…

General Relativity and Quantum Cosmology · Physics 2024-09-06 Mourad Guenouche
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