Search the portal

Please enter a term

Full record

« Back to home page
TitleThe Schwinger model in the canonical formulation
AuthorBühlmann, Patrick
Subject(s)530 Physics
AbstractWe investigate the Schwinger model in the canonical formulation with fixed fermion numbers. For this, Wilson fermions and a formalism which describes the determinant of the Dirac operator in terms of dimensionally reduced canonical determinants are used. These canonical determinants are built from sums over principal minors of canonical transfer matrices. We consider the 1-flavour Schwinger model in a regime where the sign problem is absent and investigate several structural properties of the canonical determinants and their transfer matrices. Next, we discuss the 2-flavour Schwinger model in the canonical formulation. The transfer matrices allow the direct examination of arbitrary multi-particle (meson) sectors and the determination of the corresponding ground state energies. We determine the ground state energies and utilize them to perform some basic scattering theory and investigate finite volume effects in the meson mass. From the 2-meson energies the scattering phase shifts as a function of the volume were determined. Using a low-energy scattering theory, we describe the scattering process in terms of a few physical parameters. We use the scattering phase shifts to solve 3-particle quantization conditions which allow us to make predictions for the 3-meson energies at finite volume. These predictions are compared to direct measurements of the 3-meson energies.
PublisherUniversität Bern
Typeinfo:eu-repo/semantics/doctoralThesis; info:eu-repo/semantics/publishedVersion; PeerReviewed
IdentifierBühlmann, Patrick (2022) The Schwinger model in the canonical formulation thesis.
SourceBühlmann, Patrick (2022) The Schwinger model in the canonical formulation thesis.