Energy Inequalities in Quantum Field Theory

Research output: Chapter in Book/Report/Conference proceedingConference contribution


Quantum fields are known to violate all the pointwise energy conditions of classical general relativity. We review the subject of quantum energy inequalities: lower bounds satisfied by weighted averages of the stress-energy tensor, which may be regarded as the vestiges of the classical energy conditions after quantisation. Contact is also made with thermodynamics and related issues in quantum mechanics, where such inequalities find analogues in sharp Gaarding inequalities.
Original languageEnglish
Title of host publicationXIVth International Congress on Mathematical Physics
EditorsJean-Claude Zambrini
PublisherWorld Scientific Publishing
ISBN (Print)981-256-201-X
Publication statusPublished - 2005

Bibliographical note

The arXiv version is an extended an updated version of the printed article.


  • Mathematical Physics

Cite this