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Quantum energy inequalities in two-dimensional conformal field theory

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Publication details

JournalReviews in Mathematical Physics
DatePublished - Jun 2005
Issue number5
Number of pages36
Pages (from-to)577-612
Original languageEnglish


Quantum energy inequalities (QEIs) are state-independent lower bounds on weighted averages of the stress-energy tensor, and have been established for several free quantum field models. We present rigorous QEI bounds for a class of interacting quantum fields, namely the unitary, positive energy conformal field theories (with stress-energy tensor) on two-dimensional Minkowski space. The QEI bound depends on the weight used to average the stress-energy tensor and the central charge(s) of the theory, but not on the quantum state. We give bounds for various situations: averaging along timelike, null and spacelike curves, as well as over a space-time volume. In addition, we consider boundary conformal field theories and more general "moving mirror" models.

    Research areas

  • quantum field theory, energy inequalities, conformal field theory, 2 DIMENSIONS, SPACE-TIME, UNITARY REPRESENTATIONS, GENERAL-RELATIVITY, WARP DRIVE, INVARIANCE, TRAVEL

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