## Abstract

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.

Original language | English |
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Pages (from-to) | 577-612 |

Number of pages | 36 |

Journal | Reviews in Mathematical Physics |

Volume | 17 |

Issue number | 5 |

DOIs | |

Publication status | Published - Jun 2005 |

## Keywords

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