2010/07/31 by Manuela Kulaxizi, Andrei Parnachev · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cauchy stress tensor #Classical mechanics #Conformal field theory #Conformal map #Cosmology and Gravitation Theories #Energy (signal processing) #Exact solutions in general relativity #Field (mathematics) #Field theory (psychology) #Flux (metallurgy) #Geometry #Mathematical analysis #Mathematical physics #Mathematics #Operator (biology) #Physics #Physics of Superconductivity and Magnetism #Pure mathematics #Quantum electrodynamics #Quantum mechanics #Stress–energy tensor #Tensor (intrinsic definition) #Unitarity #hep-th
paper · pdf · doi:10.1103/physrevlett.106.011601
published as Phys.Rev.Lett.106:011601,2011 · 11 pages, harvmac; v2: some clarifications and a reference added
arxiv created 2010/11/01 · openalex publication_date 2011/01/07 · arxiv updated 2011/02/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 operator-product expansion and acquires a 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.