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Energy inequalities in interacting quantum field theories

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arxiv 1912.11102 v1 pith:2OZYKFAI submitted 2019-12-23 math-ph hep-thmath.MP

classification math-phhep-thmath.MP
keywords quantumenergyfieldconditionsinequalitiesqeistheoriescalled
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The classical energy conditions, originally motivated by the Penrose-Hawking singularity theorems of general relativity, are violated by quantum fields. A reminiscent notion of such conditions are the so called quantum energy inequalities (QEIs), which are however not known to hold generally in quantum field theory. Here we present first steps towards investigating QEIs in quantum field theories with self-interaction.

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