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Résumé |
Energy plays a ubiquitous role in physics, and many physical classical field theories obey pointwise energy conditions. However, for QFTs, the study of energy is both richer and more precarious. In this talk, I will derive new families of quantum null energy inequalities (QNEIs), i.e. bounds on integrated null energy, in QFTs in both two and higher dimensions. These are state-independent lower bounds on localised integrals of the stress tensor, and the first of this kind for interacting theories in higher dimensions. These results are new, fundamental constraints on null energy in all quantum field theories. The proofs will include ingredients from field theory and quantum information: the quantum null energy condition (QNEC), strong subadditivity of von Neumann entropies, defect operator expansions, and the vacuum modular Hamiltonians of null intervals and strips. |
