scholarly journals Quantum energy inequalities in premetric electrodynamics

2018 ◽  
Vol 97 (2) ◽  
Author(s):  
Christopher J. Fewster ◽  
Christian Pfeifer ◽  
Daniel Siemssen
Keyword(s):  
Quantum Energy ◽  
Quantum Energy Inequalities

scholarly journals Absolute Quantum Energy Inequalities in Curved Spacetime

2008 ◽  
Vol 9 (3) ◽  
pp. 425-455 ◽  
Author(s):  
Christopher J. Fewster ◽  
Calvin J. Smith
Keyword(s):  
Curved Spacetime ◽  
Quantum Energy ◽  
Quantum Energy Inequalities ◽  
Absolute Quantum

scholarly journals QUANTUM ENERGY INEQUALITIES IN TWO-DIMENSIONAL CONFORMAL FIELD THEORY

2005 ◽  
Vol 17 (05) ◽  
pp. 577-612 ◽  
Author(s):  
CHRISTOPHER J. FEWSTER ◽  
STEFAN HOLLANDS
Keyword(s):  
Field Theories ◽  
Positive Energy ◽  
Energy Tensor ◽  
Two Dimensional ◽  
Conformal Field Theories ◽  
Stress Energy Tensor ◽  
Quantum Energy ◽  
Conformal Field ◽  
Quantum Energy Inequalities ◽  
Stress Energy

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. Our results hold for all theories obeying a minimal set of axioms which — as we show — are satisfied by all models built from unitary highest-weight representations of the Virasoro algebra. In particular, this includes all (unitary, positive energy) minimal models and rational conformal field theories. Our discussion of this issue collects together (and, in places, corrects) various results from the literature which do not appear to have been assembled in this form elsewhere.

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