My main research interests are in relativistic quantum field theory, i.e., the theory which describes the physics of elementary particles.
Models describing interaction among relativistic particles are generally difficult to construct. But examples called “quantum integrable models” in lower dimensions are more amenable to a rigorous construction due to their simplified type of interaction. Here, I am particularly interested in the construction of integrable models with bound states.
These models also represent an ideal context to study lower bounds to the smeared energy density (quantum energy inequalities), which are essential for the stability of spacetime, since they exclude the existence of “exotic” spacetime geometries. My aim here is to show that QEIs exist for interacting models of particles.
Also, I recently became interested in relativistic quantum information theory, in particular on the role of relative entropy in quantum field theory.
I am currently leading an Emmy Noether Research Group.