Quantum energy inequalities and stability conditions in quantum field theory

Christopher J. Fewster

Quantum energy inequalities and stability conditions in quantum field theory

Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Other chapter contribution

Abstract

Quantum Energy Inequalities (QEIs) are constraints on the extent to which quantum fields can violate the energy conditions of classical general relativity. As such they are closely related to the gravitational stability of quantised matter. In this contribution we discuss links between QEIs and other stability conditions in quantum field theory: the microlocal spectrum condition, passivity and nuclearity. The first two links suggest an interconnection between stability conditions at three different length scales, while the third hints at a deeper origin of QEIs.

Original language	English
Title of host publication	Rigorous Quantum Field Theory
Subtitle of host publication	A Festschrift for Jacques Bros
Editors	Detlev Buchholz, Anne Boutet de Monvel, Daniel Iagolnitzer, Ugo Moschella
Publisher	Birkhauser
Pages	95-112
Volume	251
ISBN (Print)	978-3-7643-7433-4
Publication status	Published - 2006

Publication series

Name	Progress in Mathematics
Publisher	Birkhauser
Volume	251

Keywords

Mathematical Physics

Access to Document

http://arxiv.org/abs/math-ph/0502002

Cite this

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title = "Quantum energy inequalities and stability conditions in quantum field theory",

abstract = "Quantum Energy Inequalities (QEIs) are constraints on the extent to which quantum fields can violate the energy conditions of classical general relativity. As such they are closely related to the gravitational stability of quantised matter. In this contribution we discuss links between QEIs and other stability conditions in quantum field theory: the microlocal spectrum condition, passivity and nuclearity. The first two links suggest an interconnection between stability conditions at three different length scales, while the third hints at a deeper origin of QEIs.",

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Quantum energy inequalities and stability conditions in quantum field theory. / Fewster, Christopher J.
Rigorous Quantum Field Theory: A Festschrift for Jacques Bros. ed. / Detlev Buchholz; Anne Boutet de Monvel; Daniel Iagolnitzer; Ugo Moschella. Vol. 251 Birkhauser, 2006. p. 95-112 (Progress in Mathematics; Vol. 251).

Research output: Chapter in Book/Report/Conference proceeding › Other chapter contribution

TY - CHAP

T1 - Quantum energy inequalities and stability conditions in quantum field theory

AU - Fewster, Christopher J.

PY - 2006

Y1 - 2006

N2 - Quantum Energy Inequalities (QEIs) are constraints on the extent to which quantum fields can violate the energy conditions of classical general relativity. As such they are closely related to the gravitational stability of quantised matter. In this contribution we discuss links between QEIs and other stability conditions in quantum field theory: the microlocal spectrum condition, passivity and nuclearity. The first two links suggest an interconnection between stability conditions at three different length scales, while the third hints at a deeper origin of QEIs.

AB - Quantum Energy Inequalities (QEIs) are constraints on the extent to which quantum fields can violate the energy conditions of classical general relativity. As such they are closely related to the gravitational stability of quantised matter. In this contribution we discuss links between QEIs and other stability conditions in quantum field theory: the microlocal spectrum condition, passivity and nuclearity. The first two links suggest an interconnection between stability conditions at three different length scales, while the third hints at a deeper origin of QEIs.

KW - Mathematical Physics

M3 - Other chapter contribution

SN - 978-3-7643-7433-4

VL - 251

T3 - Progress in Mathematics

SP - 95

EP - 112

BT - Rigorous Quantum Field Theory

A2 - Buchholz, Detlev

A2 - Boutet de Monvel, Anne

A2 - Iagolnitzer, Daniel

A2 - Moschella, Ugo

PB - Birkhauser

ER -