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Quantum field theory allows for the suppression of vacuum fluctuations, leading to sub-vacuum phenomena. One of these is the appearance of local negative energy density. Selected aspects of negative energy will be reviewed, including the…

Quantum Physics · Physics 2010-05-25 L. H. Ford

Negative energy density is unavoidable in the quantum theory of field. We give a revised proof of the existence of negative energy density unambiguously for a massless scalar field.

General Relativity and Quantum Cosmology · Physics 2008-02-03 Chung-I Kuo

The issue of the vacuum energy of quantum fields is briefly reviewed. It is argued that this energy is normally either much too large or much too small to account for the dark energy, However, there are a few proposals in which it would be…

General Relativity and Quantum Cosmology · Physics 2007-05-23 L. H. Ford

In quantum field theory there is now a well developed technique, effective field theory, which allows one to obtain low energy quantum predictions in ``non-renormalizable'' theories, using only the degrees of freedom and interactions…

General Relativity and Quantum Cosmology · Physics 2007-05-23 John F. Donoghue

"Negative energy" has been one of the most enduring puzzles in quantum theory, whereas the present work reveals that it actually plays a central role in clarifying various controversies of quantum theory. The basic idea is contained in a…

General Physics · Physics 2016-05-27 Shou-Liang Bu

This report offers a modern perspective on the problem of negative energy, based on a re-examination of the concept of time direction as it arises in a classical and quantum-mechanical context. From this analysis emerges an improved…

General Physics · Physics 2026-05-28 J. C. Lindner

I review some recent results showing that the physics of negative energy densities, as predicted by relativistic quantum field theories, is more complicated than has generally been appreciated. On the one hand, in external potentials where…

High Energy Physics - Theory · Physics 2007-05-23 Adam D. Helfer

It has been shown that in the context of General Relativity (GR) enriched with a new set of discrete symmetry reversal conjugate metrics, negative energy states can be rehabilitated while avoiding the well-known instability issues. We…

General Relativity and Quantum Cosmology · Physics 2016-08-16 Frederic Henry-Couannier , André Tilquin , Anne Ealet , Charling Tao

The quantum theory of General Relativity at low energy exists and is of the form called "effective field theory". In this talk I describe the ideas of effective field theory and its application to General Relativity.

General Relativity and Quantum Cosmology · Physics 2007-05-23 John F. Donoghue

An approach to the foundations of quantum theory is advertised that proceeds by "reverse engineering" quantum field theory. As a concrete instance of this approach, the general boundary formulation of quantum theory is outlined.

Quantum Physics · Physics 2013-01-10 Robert Oeckl

This is a review of some of the concepts and results of the effective field theory treatment of quantum general relativity. Included are lessons of low energy quantum gravity, and a discussion of the limits of effective field theory…

High Energy Physics - Theory · Physics 2023-01-12 John F. Donoghue

We consider the spatial power spectra associated with fluctuations of quadratic operators in field theory, such as quantum stress tensor components. We show that the power spectrum can be negative, in contrast to most fluctuation phenomena…

Quantum Physics · Physics 2015-05-20 Jen-Tsung Hsiang , Chun-Hsien Wu , L. H. Ford

We consider a departure from standard quantum field theory, constructed so as to permit momentum eigenstates of both positive and negative energy. The resulting theory is intriguing because it brings about the cancellation of leading…

High Energy Physics - Theory · Physics 2015-08-03 Robert Dickinson , Jeff Forshaw , Peter Millington

The aim of this chapter is to present an introduction and also an overview of some of the most relevant results concerning positivity energy theorems in General Relativity. These theorems provide the answer to a long standing problem that…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Sergio Dain

Traditional quantum field theory can lead to enormous zero-point energy, which markedly disagrees with experiment. Unfortunately, this situation is built into conventional canonical quantization procedures. For identical classical theories,…

High Energy Physics - Theory · Physics 2018-07-04 John R. Klauder

In quantum field theory, there exist states in which the expectation value of the energy density for a quantized field is negative. These negative energy densities lead to many problems. Although quantum field theory introduces negative…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Michael John Pfenning , L. H. Ford

A fundamental length is introduced into physics in a way which respects the principles of relativity and quantum field theory. This improves the properties of quantum field theory: divergences are removed. How to quantize gravity is also…

High Energy Physics - Theory · Physics 2007-05-23 G. H. Gadiyar

Building on the "quantum inequalities" introduced by Ford, I argue that the negative local energies encountered in quantum field theory can only be observed by detectors with positive energies at least as great in magnitude. This means that…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Adam D. Helfer

The aim of this review is to outline a full route from the fundamental principles of algebraic quantum field theory on curved spacetime in its present-day form to explicit phenomenological applications which allow for comparison with…

Mathematical Physics · Physics 2013-09-02 Klaus Fredenhagen , Thomas-Paul Hack

Quantum matter in quantum space-time is discussed using general properties of energy-conservation laws. As a rather radical conclusion, it is found that standard methods of differential geometry and quantum field theory on curved space-time…

General Relativity and Quantum Cosmology · Physics 2013-11-13 Martin Bojowald , Golam Mortuza Hossain , Mikhail Kagan , Casey Tomlin
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