Energy Inequalities in Quantum Field Theory

Details Energy Inequalities in Quantum Field Theory Energy Inequalities in Quantum Field Theory

2005-01-31

arxiv.org/abs/math-ph/0501073v1

Physics

Mathematical Physics

13pp. Expanded and updated version of a contribution to the proceedings of the XIV ICMP, Lisbon 2003

Scientific paper

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.

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