SMuK 2023 – wissenschaftliches Programm
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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik
MP 2: Quantum Field Theory I
MP 2.4: Vortrag
Montag, 20. März 2023, 17:40–18:00, ZEU/0250
Quantum energy inequality in the Sine-Gordon model — •Markus B. Fröb and Daniela Cadamuro — Institut für Theoretische Physik, Universität Leipzig, Germany
We consider the massless Sine–Gordon model in the finite regime β2 < 4 π of the theory. We prove convergence of the renormalised perturbative series for the interacting stress tensor defined using the Bogoliubov formula in an arbitrary Hadamard state, even for the case that the smearing is only along a one-dimensional time-like worldline and not in space-time. We then show that the interacting energy density, as seen by an observer following this worldline, satisfies an absolute lower bound, that is a bound independent of the quantum state. Our proof employs and generalises existing techniques developed for free theories by Flanagan, Fewster and Smith.