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We compute the fully renormalized one-loop effective action for two interacting and self-interacting scalar fields in FRW space-time. We then derive and solve the quantum corrected equations of motion both for fields that dominate the…

General Relativity and Quantum Cosmology · Physics 2015-03-20 Tommi Markkanen , Anders Tranberg

We present brief, to great extent pedagogical review on renormalization in curved space-time and of some recent results on the derivation and better understanding of quantum corrections to the action of gravity. The paper is mainly devoted…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Ilya L. Shapiro

Using the quantum effective action in the Schwinger-Keldysh formalism, we derive quantum corrections to the semiclassical Langevin dynamics of a dissipative system governed by a macroscopic degree of freedom. We discuss the connection with…

Quantum Gases · Physics 2026-05-20 Cesare Vianello , Andrea Bardin , Luca Salasnich

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

Starting from the original Einstein action, sometimes called the Gamma squared action, we propose a new setup to formulate modified theories of gravity. This can yield a theory with second order field equations similar to those found in…

General Relativity and Quantum Cosmology · Physics 2021-07-14 Christian G. Boehmer , Erik Jensko

In this talk we will argue that, when gravitons are taken into account, the solution to the semiclassical Einstein equations (SEE) is not physical. The reason is simple: any classical device used to measure the spacetime geometry will also…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Diego A. R. Dalvit , Francisco D. Mazzitelli

In this paper we consider general relativity and its combination with scalar quantum electrodynamics (QED) as an effective quantum field theory at energies well below the Planck scale. This enables us to compute the one-loop quantum…

High Energy Physics - Theory · Physics 2008-11-26 Sven Faller

We consider a quantum scalar field on an arbitrary gravitational background. We obtain the effective {\it in-in} equations for the gravitational fields using a covariant and non-local approximation for the effective action proposed by…

General Relativity and Quantum Cosmology · Physics 2009-10-22 D. A. R. Dalvit , F. D. Mazzitelli

We develop a quantum effective action for scalar-tensor theories of gravity which is both spacetime diffeomorphism invariant and field reparameterisation (frame) invariant beyond the classical approximation. We achieve this by extending the…

High Energy Physics - Theory · Physics 2020-08-26 Kieran Finn , Sotirios Karamitsos , Apostolos Pilaftsis

In this work, we use the framework of effective field theory to couple Einstein's gravity to quantum electrodynamics (QED) and determine the gravitational corrections to the two-loop beta function of the electric charge in arbitrary…

High Energy Physics - Theory · Physics 2021-12-15 L. Ibiapina Bevilaqua , M. Dias , A. C. Lehum , C. R. Senise , A. J. da Silva , Huan Souza

Atomic high-precision measurements have become a competitive and essential technique for tests of fundamental physics, the Standard Model, and our theory of gravity. It is therefore self-evident that such measurements call for a consistent…

Quantum Physics · Physics 2024-05-24 Tobias Asano , Enno Giese , Fabio Di Pumpo

A canonical formulation of effective equations describes quantum corrections by the back-reaction of moments on the dynamics of expectation values of a state. As a first step toward an extension to quantum-field theory, these methods are…

High Energy Physics - Theory · Physics 2014-11-14 Martin Bojowald , Suddhasattwa Brahma

In this chapter, we will review the field-theoretic treatment of General Relativity based on an effective field theory extension of the Einstein-Hilbert action. This pragmatic route to low-energy quantum effects in gravity critically…

High Energy Physics - Theory · Physics 2022-12-20 N. Emil J. Bjerrum-Bohr , Ludovic Planté , Pierre Vanhove

We investigate quantum stability of the generalised Proca theories in curved spacetime treating gravity as a dynamical field. To compute the quantum gravitational corrections we evaluate divergent part of the effective action at one loop…

High Energy Physics - Theory · Physics 2022-02-09 Sukanta Panda , Abbas Tinwala , Archit Vidyarthi

The problem of motion in General Relativity has lost its academic status and become an active research area since the next generation of gravity wave detectors will rely upon its solution. Here we will show, within scalar gravity, how ideas…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Rafael A. Porto , Riccardo Sturani

We study the quantum gravitational system coupled to a charged scalar, Dirac fermions, and electromagnetic fields. We use the "exact" or "functional" renormalization group equation to derive the effective action $\Gamma_0$ by integrating…

High Energy Physics - Theory · Physics 2020-10-28 Nobuyoshi Ohta , Leslaw Rachwal

For the same quantum field theory distinct effective actions can be obtained by coupling sources to different choices of field variables. This is the same as considering effective actions for theories related by a change of variables and…

High Energy Physics - Theory · Physics 2025-08-25 Kevin Falls

In many situations, one can approximate the behavior of a quantum system, i.e. a wave function subject to a partial differential equation, by effective classical equations which are ordinary differential equations. A general method and…

Mathematical Physics · Physics 2007-05-23 Martin Bojowald , Aureliano Skirzewski

We compute the graviton-induced corrections to the trajectory of a classical test particle. We show that the motion of the test particle is governed by an effective action given by the expectation value (with respect to the graviton state)…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Diego A. R. Dalvit , Francisco D. Mazzitelli

We generalize the de Broglie-Bohm (dBB) formulation of quantum mechanics to the case of quantum gravity (QG) by using the effective action for a QG theory. This is done by replacing the dBB equations of motion with the effective action…

General Relativity and Quantum Cosmology · Physics 2025-08-05 Aleksandar Mikovic