Quantum Inequalities from Operator Product Expansions

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Abstract

Quantum inequalities are lower bounds for local averages of quantum observables that have positive classical counterparts, such as the energy density or the Wick square. We establish such inequalities in general (possibly interacting) quantum field theories on Minkowski space, using nonperturbative techniques. Our main tool is a rigorous version of the operator product expansion.

Original languageEnglish
Pages (from-to)761-795
Number of pages35
JournalCommunications in Mathematical Physics
Volume292
Issue number3
DOIs
Publication statusPublished - Dec 2009

Keywords

  • WEAK ENERGY INEQUALITY
  • FIELD-THEORY
  • CURVED SPACETIME
  • EQUILIBRIUM STATES
  • SCALING ALGEBRAS
  • LOCAL ASPECTS
  • DIRAC FIELDS
  • CONSTRUCTION
  • DENSITY
  • OBSERVABLES

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