SMuK 2023 – scientific programme
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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik
MP 5: Scattering Amplitudes and Conformal Field Theory
MP 5.6: Talk
Tuesday, March 21, 2023, 18:00–18:20, ZEU/0250
Quantum energy inequalities in integrable models with bound states and several particle species — •Jan Mandrysch1, Daniela Cadamuro1, and Henning Bostelmann2 — 1Institute for Theoretical Physics, Uni Leipzig — 2Department of Mathematics, University of York, United Kingdom
In quantum theory negative energy densities appear and should be constrained in physically reasonable models. Otherwise, one expects instabilities and violations of the 2nd law of thermodynamics.
I present lower bounds of the time-smeared energy density, so-called quantum energy inequalities (QEI), in the class of integrable quantum field theory models. Our main results are a state-independent QEI for interactions which have a constant scattering function and a QEI at one-particle level for generic models including bound states and several particle species. Examples include the Bullough-Dodd, the Federbush, and the O(n)-nonlinear sigma model.