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Quantum Inequalities from Operator Product Expansions

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

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.

    Research areas

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

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