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Quantum Inequalities from Operator Product Expansions

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arxiv 0812.4760 v1 pith:XRMLXQF4 submitted 2008-12-27 math-ph math.MP

Henning Bostelmann , Christopher J. Fewster This is my paper · ORCID
classification math-phmath.MP
keywords quantuminequalitiesoperatorproductaveragesboundsclassicalcounterparts
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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.

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    Supersymmetric localization reproduces the WZW partition function as a sum over abelian classical solutions, verified for SU(2) and extended to SL(2,R) and H_3^+.

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