Bruckmann, Falk and Gattringer, Christof and Kloiber, Thomas and Sulejmanpasic, Tin (2015) Grand Canonical Ensembles, Multiparticle Wave Functions, Scattering Data, and Lattice Field Theories. PHYSICAL REVIEW LETTERS, 115 (23): 231601. ISSN 0031-9007, 1079-7114
Full text not available from this repository.Abstract
We show that information about scattering data of a quantum field theory can be obtained from studying the system at finite density and low temperatures. In particular we consider models formulated on the lattice that can be exactly dualized to theories of conserved charge fluxes on lattice links. Apart from eliminating the complex action problem at nonzero chemical potential mu, these dualizations allow for a particle world line interpretation of the dual fluxes from which one can extract data about the two-particle wave function. As an example we perform dual Monte Carlo simulations of the two-dimensional O(3) model at nonzero mu and finite volume, whose nonperturbative spectrum consists of a massive triplet of particles. At nonzero mu particles are induced in the system, which at sufficiently low temperature give rise to sectors of fixed particle number. We show that the scattering phase shifts can be obtained either from the critical chemical potential values separating the sectors or directly from the wave function in the two-particle sector. We find that both methods give excellent agreement with the exact result. We discuss the applicability and generality of the new approaches.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | MATRIX; |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 29 Apr 2019 09:06 |
| Last Modified: | 29 Apr 2019 09:06 |
| URI: | https://pred.uni-regensburg.de/id/eprint/4314 |
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