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We investigate the problem of metric fluctuations in the presence of the vacuum fluctuations of matter fields and critically assess the usual assertion that vacuum energy implies a Planckian cosmological constant. A new stochastic classical…

General Relativity and Quantum Cosmology · Physics 2008-06-19 Charles H. -T. Wang , Paolo M. Bonifacio , Robert Bingham , J. Tito Mendonca

We use an extended quantum field theory (EQFT) hep-th/9911168 to explore possible observational effects of the spacetime. It is shown that as it was expected the spacetime foam can provide quantum bose fields with a cutoff at very small…

High Energy Physics - Theory · Physics 2007-05-23 A. A. Kirillov , D. Turaev

We discuss the most general effective Lagrangian obtained from the assumption that the degrees of freedom to be quantized, in a black hole, are on the horizon. The effective Lagrangian depends only on the induced metric and the extrinsic…

General Relativity and Quantum Cosmology · Physics 2010-11-01 A. Buonanno , M. Gattobigio , M. Maggiore , L. Pilo , C. Ungarelli

In the presented paper we tackle the problem of the effective field theory in curved spacetime (cEFT) construction. To this end, we propose to use the heat kernel method. After introducing the general formalism based on the well established…

High Energy Physics - Theory · Physics 2019-01-11 Łukasz Nakonieczny

It is a maxim often stated, yet rarely illustrated, that the combination of special relativity and quantum mechanics necessarily leads to quantum field theory. An elementary illustration is provided, using the familiar particle in a box,…

General Physics · Physics 2013-06-04 Amar C. Vutha

We derive the quantum effective action and the respective quantum equations of motion from multi-graviton correlation functions in asymptotically safe quantum gravity. The fully momentum-dependent couplings of three- and four-graviton…

High Energy Physics - Theory · Physics 2024-10-10 Jan M. Pawlowski , Jan Tränkle

For classical field theories with probabilistic initial conditions the classical field observables are an idealization. Their arbitrarily precise values poorly reflect the characteristic uncertainty in the presence of substantial…

Quantum Physics · Physics 2026-03-06 Christof Wetterich

This article will summarize selected aspects of the semiclassical theory of gravity, which involves a classical gravitational field coupled to quantum matter fields. Among the issues which will be discussed are the role of quantum effects…

General Relativity and Quantum Cosmology · Physics 2016-11-23 L. H. Ford

We first note that, at least in perturbation theory, there is a well-defined (subject to regularization) Lorentzian definition of the quantum effective action in both flat and curved space including (perturbative) gravity. The advantage of…

High Energy Physics - Theory · Physics 2025-11-18 S. P. de Alwis

We use variational methods to calculate quasilocal energy quantum corrections. A comparison with the effective potential calculated at quadratic order is made by means of gaussian wave functionals. The method is a particular case of the…

High Energy Physics - Theory · Physics 2007-05-23 Remo Garattini

The effective field theory of quantum gravity generically predicts non-locality to be present in the effective action, which results from the low-energy propagation of gravitons and massless matter. Working to second order in gravitational…

High Energy Physics - Theory · Physics 2018-10-17 Xavier Calmet , Basem Kamal El-Menoufi , Boris Latosh , Sonali Mohapatra

We introduce regular charts as physical reference frames in spacetime, and we show that general spacetimes can always be fully captured by regular charts. Effective quantum field theories (QFTs) can be conveniently defined in regular…

Mathematical Physics · Physics 2013-02-19 Andreas Raab

Some astrophysical objects are supposed to have very strong electromagnetic fields above the critical strength. Quantum fluctuations due to strong electromagnetic fields modify the Maxwell theory and particularly electric fields make the…

High Energy Physics - Theory · Physics 2015-05-13 Sang Pyo Kim , Hyun Kyu Lee

We describe how the concepts of quantum open systems and the methods of closed-time-path (CTP) effective action and influence functional (IF) can be usefully applied to the analysis of statistical mechanical problems involving quantum…

General Relativity and Quantum Cosmology · Physics 2007-05-23 B. L. Hu

Using the Functional Renormalization Group approach we construct effective quantum spacetime geometries by self-consistently deforming the classical Schwarzschild-de Sitter black-hole solution. This involves studying how quantum…

General Relativity and Quantum Cosmology · Physics 2025-03-19 Alfio Bonanno , Mariano Cadoni , Mirko Pitzalis , Andrea Pierfrancesco Sanna

In this paper we suggest a macroscopic toy system in which a potential-like energy is generated by a non-uniform pulsation of the medium (i.e. pulsation of transverse standing oscillations that the elastic medium of the system tends to…

Classical Physics · Physics 2019-02-01 Christian Borghesi

We calculate the quantum corrections to the classical action of a particle with coordinate-dependent mass. The result is made self-consistent by a variational approach, thus making it applicable to strong-couplings and singular potentials.…

Quantum Physics · Physics 2007-05-23 M. E. S. Borelli , H. Kleinert

An intriguing consequence of quantum field theory is that vacuum is not empty space; it is full of quantum fluctuating electromagnetic fields, or virtual photons, corresponding to their zero-point energy, even though the average number of…

Quantum Physics · Physics 2025-07-15 Andrey Baydin , Hanyu Zhu , Motoaki Bamba , Kaden Hazzard , Junichiro Kono

This is a pedagogical introduction to the treatment of quantum general relativity as an effective field theory. It starts with an overview of the methods of effective field theory and includes an explicit example. Quantum general relativity…

General Relativity and Quantum Cosmology · Physics 2015-06-11 John F. Donoghue

We consider a theory of scalar QED on a spatially compact 1+1-dimensional spacetime. By considering a constant electric field pointing down the compact dimension, we compute the quantum effective action by integrating out the scalar degrees…

High Energy Physics - Theory · Physics 2021-06-29 Prasant Samantray , Suprit Singh