Münster 2017 – scientific programme
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HK: Fachverband Physik der Hadronen und Kerne
HK 1: Hadron Structure and Spectroscopy I
HK 1.3: Talk
Monday, March 27, 2017, 17:45–18:00, F 5
Open Effective Field Theories from Highly Inelastic Reactions — Eric Braaten1, •Hans-Werner Hammer2, and G. Peter Lepage3 — 1Department of Physics, The Ohio State University, Columbus, OH 43210, USA — 2Institut für Kernphysik, TU Darmstadt, 64289 Darmstadt, Germany — 3LEPP, Cornell University, Ithaca, NY 14583, USA
Effective field theories have often been applied to systems with inelastic reactions that produce particles with large momenta outside the domain of validity of the effective theory. The effects of the highly inelastic reactions have been taken into account in previous work by adding local anti-Hermitian terms to the effective Hamiltonian density. Here we show that an additional modification is required in equations governing the density matrix when multi-particle states are considered. We define an effective density matrix by tracing out states containing high-momentum particles, and show that it satisfies a Lindblad equation, with Lindblad operators determined by the anti-Hermitian terms in the effective Hamiltonian density.
*Supported by BMBF (contract 05P15RDFN1) and by DFG (SFB 1245).