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The paper summarizes the parallel session B3 {\em Analytic approximations, perturbation methods, and their applications} of the GR18 conference. The talks in the session reported notably recent advances in black hole perturbations and…

This paper summarises oral contributions to the parallel session {\it Complex and conformal methods in classical and quantum gravity} which took place during the 20th International Conference on General Relativity and Gravitation held in…

General Relativity and Quantum Cosmology · Physics 2015-06-18 Maciej Dunajski

The talks given in parallel session D4 at the 20th International Conference on General Relativity and Gravitation (Warsaw 2013) are summarized.

General Relativity and Quantum Cosmology · Physics 2016-08-29 Christopher J Fewster , Stefano Liberati

The progress of the last decade in perturbative quantum field theory at high temperature and density made possible by the use of effective field theories and hard-thermal/dense-loop resummations in ultrarelativistic gauge theories is…

High Energy Physics - Phenomenology · Physics 2010-01-15 Ulrike Kraemmer , Anton Rebhan

We report on selected oral contributions to the A2 session "Mathematical relativity and other progress in classical gravity theory" of "The 20th International Conference on General Relativity and Gravitation (GR20)" in Warsaw.

General Relativity and Quantum Cosmology · Physics 2015-06-18 Piotr T. Chruściel , Tim-Torben Paetz

Conformal field theories play a central role in theoretical physics with many applications ranging from condensed matter to string theory. The conformal bootstrap studies conformal field theories using mathematical consistency conditions…

High Energy Physics - Theory · Physics 2021-04-09 Johan Henriksson

I briefly summarized some recent work which uses the techniques of effective field theory to make quantum predictions in general relativity. In contrast to conventional expectations, these are in fact well behaved. The leading quantum…

High Energy Physics - Phenomenology · Physics 2007-05-23 John F. Donoghue

Effective field theory methods allow us to modify general relativity through higher-curvature corrections to the Einstein-Hilbert action, while preserving Lorentz invariance and the number of gravitational degrees of freedom. We here…

General Relativity and Quantum Cosmology · Physics 2024-07-18 Haoyang Liu , Nicolás Yunes

We report on the oral contributions and give a list of posters presented in the session A1 "Exact solutions and their interpretation" at the 20th International Conference on General Relativity and Gravitation (GR 20) in Warsaw, July 7-13,…

General Relativity and Quantum Cosmology · Physics 2015-07-31 Jiří Bičák , Jacek Tafel

Analytic approximation methods in general relativity play a very important role when analyzing the gravitational wave signals recently discovered by the LIGO and Virgo detectors. In this contribution, we present the state-of-the-art and…

General Relativity and Quantum Cosmology · Physics 2019-05-22 Luc Blanchet

This is a summary talk covering recent progress in perturbative methods for gauge theories and gravity, applications of AdS/CFT duality, vacuum energy, and string theory models of particle physics and cosmology.

High Energy Physics - Theory · Physics 2008-10-22 Joseph Polchinski

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

[Abridged] This review article presents the progress made over the last decade, since the introduction of effective field theories (EFTs) into post-Newtonian (PN) gravity. These have been put forward in the context of gravitational waves…

High Energy Physics - Theory · Physics 2020-06-19 Michèle Levi

More than 50 abstracts were submitted to the A4 session on "Alternatives Theories of Gravity" at the GRG18 conference. About 30 of them were scheduled as oral presentations, that we summarize below. We do not intend to give a critical…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Gilles Esposito-Farese

The effective mass approximation is analysed in a nonperturbative kinetic theory approach to strong field excitations in graphene [1,2]. This problem is highly actual for the investigation of quantum radiation from graphene [3], where the…

Mesoscale and Nanoscale Physics · Physics 2023-01-31 D. B. Blaschke , V. V. Dmitriev , N. T. Gevorgyan , B. Mahato , A. D. Panferov , S. A. Smolyansky , V. A. Tseryupa

We develop a systematic method of the perturbative expansion around the Gaussian effective action based on the background field method. We show, by applying the method to the quantum mechanical anharmonic oscillator problem, that even the…

High Energy Physics - Theory · Physics 2016-08-25 Geon Hyoung Lee , Jae Hyung Yee

Exact solutions of an $ f(R) $-theory (of gravity) in a static central (gravitational) field have been studied in the literature quite well, but, to find and study exact solutions in the case of a non-static central field are not easy at…

General Relativity and Quantum Cosmology · Physics 2019-10-30 Nguyen Anh Ky , Pham Van Ky , Nguyen Thi Hong Van

A new method of approximation scheme with potential application to a general interacting quantum system is presented. The method is non-perturbative, self- consistent, systematically improvable and uniformly applicable for arbitrary…

Quantum Physics · Physics 2008-06-13 Nabaghan Santi

Approximation techniques have been historically important for solving differential equations, both as initial value problems and boundary value problems. The integration of numerical, analytic and perturbation methods and techniques can…

Classical Analysis and ODEs · Mathematics 2025-02-25 J. Nathan Kutz

We develop a method for deriving approximate analytical formulae to integrate photon geodesics in a Schwarzschild spacetime. Based on this, we derive the approximate equations for light bending and propagation delay that have been…

High Energy Astrophysical Phenomena · Physics 2016-11-02 Vittorio De Falco , Maurizio Falanga , Luigi Stella
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