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This review summarizes the current status of the energy conditions in general relativity and quantum field theory. We provide a historical review and a summary of technical results and applications, complemented with a few new derivations…

General Relativity and Quantum Cosmology · Physics 2020-06-08 Eleni-Alexandra Kontou , Ko Sanders

The quantum theory of fields is largely based on studying perturbations around non-interacting, or free, field theories, which correspond to a collection of quantum-mechanical harmonic oscillators. The quantum theory of an ordinary fluid is…

High Energy Physics - Theory · Physics 2015-04-24 Ben Gripaios , Dave Sutherland

Light in a dielectric medium moves slower than in vacuum. The corresponding electromagnetic field equations are then no longer invariant under ordinary Lorentz transformations, but only under such transformations corresponding to this…

Quantum Physics · Physics 2008-09-25 Finn Ravndal

Review of the most basic issues appearing in the most conservative approaches to quantum theory of gravity is given. The most part of the review is devoted to issues of perturbative quantization based on functional integral technique.…

High Energy Physics - Theory · Physics 2020-10-07 Boris Latosh

In this review we present the theoretical background for treating General Relativity as an effective field theory and focus on the concrete results of such a treatment. As a result we present the calculations of the low-energy leading…

General Relativity and Quantum Cosmology · Physics 2010-12-24 Arif Akhundov , Anwar Shiekh

Intrinsic unfication of quantum theory and general relativity based on the underlying quantum dynamics of fundamental field has been proposed.

General Relativity and Quantum Cosmology · Physics 2007-05-23 Peter Leifer

Observed physical phenomena can be described well by quantum mechanics or general relativity. People may try to find an unified fundamental theory which mainly aims to merge gravity with quantum theory. However, difficulty in merging those…

General Physics · Physics 2009-11-10 Chang-Yu Zhu , Heng Fan

The invariance of physical observables under redefinitions of the quantum fields is a well-known and important property of quantum field theory. We study perturbative field redefinitions in effective theories, paying special attention to…

High Energy Physics - Phenomenology · Physics 2019-09-23 Juan Carlos Criado , Manuel Perez-Victoria

We clearly formulate and study further a conjecture of effective field theory interaction with gravity in the cosmological context. The conjecture stems from the fact that the melding of quantum theory and gravity typically indicates the…

High Energy Physics - Theory · Physics 2008-10-15 Michael Maziashvili

Quantum field theory offers physicists a tremendously wide range of application; it is both a language with which a vast variety of physical processes can be discussed and also it provides a model for fundamental physics, the so-called…

High Energy Physics - Theory · Physics 2007-05-23 Roman Jackiw

Group field theories are a new type of field theories over group manifolds and a generalization of matrix models, that have recently attracted much interest in quantum gravity research. They represent a development of and a possible link…

High Energy Physics - Theory · Physics 2007-11-28 Daniele Oriti

An encyclopedia article on mathematical aspects of quantum field theory in curved spacetime. Section titles are: Introduction and preliminaries; Construction of *-algebra for a real linear scalar field on globally hyperbolic spacetimes and…

General Relativity and Quantum Cosmology · Physics 2007-08-09 Bernard S. Kay

General relativity in the form where gravitational perturbations together with other physical fields propagate on an auxiliary background is considered. With using the Katz-Bi{\v{c}}\'ak-Lynden-Bell technique new conserved currents,…

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. N. Petrov

Lecture Notes, Summer School on Effective Theories and Fundamental Interactions, Erice, 1996. The application of effective field theory methods to the low energy structure of QCD is discussed. I emphasize the universal structure of the…

High Energy Physics - Phenomenology · Physics 2007-05-23 H. Leutwyler

The theoretical and phenomenological status of negative energies is reviewed in Quantum Field theory leading to the conclusion that hopefully their rehabilitation might only be completed in a modified general relativistic model

General Relativity and Quantum Cosmology · Physics 2007-05-23 Frederic Henry-Couannier

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

In this review, we summarize the main ideas of perturbative algebraic quantum field theory, which is a rigorous framework combining some of the Haag-Kastler axioms with perturbative methods involving formal power series. It allows for the…

Mathematical Physics · Physics 2025-12-17 Romeo Brunetti , Klaus Fredenhagen , Kasia Rejzner

We review work in areas ranging from condensed matter physics to quantum gravity, with the following interconnected questions in mind: (i) what is the nature of the vacuum in condensed matter systems, in quantum field theory, and in…

Quantum Gases · Physics 2025-10-20 Samin Tajik , Michael. j. Desrochers , Philip C. E. Stamp

Fully covariant wave equations predict the existence of a class of inertial-gravitational effects that can be tested experimentally. In these equations inertia and gravity appear as external classical fields, but, by conforming to general…

General Relativity and Quantum Cosmology · Physics 2007-05-23 G. Papini

The discovery of cosmic acceleration has triggered a consistent body of theoretical work aimed at modeling its phenomenology and understanding its fundamental physical nature. In recent years, a powerful formalism that accomplishes both…

Cosmology and Nongalactic Astrophysics · Physics 2020-06-09 Noemi Frusciante , Louis Perenon
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