Berlin 2015 – scientific programme

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SYGD: Symposium GR-HK-T Disserstationspreis

SYGD 1: GR-HK-T Dissertationspreis

SYGD 1.2: Invited Talk

Monday, March 16, 2015, 15:30–16:00, HFT-FT 101

Bound states in a box — •Sebastian König — Helmholtz-Institut für Strahlen- und Kernphysik, Universität Bonn — Department of Physics, The Ohio State University, Columbus, Ohio, USA

In many physical systems one finds universality in the sense that physical observables are independent of the short-range details of a more fundamental underlying theory. Low-energy phenomena do not probe physics at short distances, thus enabling a systematic description in terms of finite-range interactions. It is such a separation of physical scales that constitutes the foundation of various effective field theories. A related application of the concept arises in the study of physical systems in finite volumes, typically occurring in numerical lattice simulations. When a bound state is put in a finite volume, its mass (energy) is shifted compared to the infinite-volume solution. In the eighties, Lüscher derived an explicit formula for the case of S-wave bound states in a periodic cubic box. I discuss the extension of the formalism to bound states with arbitrary nonzero orbital angular momentum. Moreover, I show how the boundary conditions are changed when one considers bound states in moving frames and how this leads to topological correction factors in the scattering of composite particles on the lattice.