Energy Flux Positivity and Unitarity in CFTs

Details Energy Flux Positivity and Unitarity in CFTs Energy Flux Positivity and Unitarity in CFTs

2010-07-04

arxiv.org/abs/1007.0553v2

Phys.Rev.Lett.106:011601,2011

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, harvmac; v2: some clarifications and a reference added

Scientific paper

10.1103/PhysRevLett.106.011601

We show that in most conformal field theories the condition of the energy flux positivity, proposed by Hofman and Maldacena, is equivalent to the absence of ghosts. At finite temperature and large energy and momenta, the two-point functions of the stress energy tensor develop lightlike poles. The residues of the poles can be computed, as long as the only spin two conserved current, which appears in the stress energy tensor OPE and acquires nonvanishing expectation value at finite temperature, is the stress energy tensor. The condition for the residues to stay positive and the theory to remain ghost free is equivalent to the condition of positivity of energy flux.

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