Few-body physics in a finite volume [Elektronische Ressource] / vorgelegt von Simon Kreuzer

Few-body physicsin a Finite VolumeDissertationzurErlangung des Doktorgrades (Dr. rer. nat.)derMathematisch-Naturwissenschaftlichen Fakult¨atderRheinischen Friedrich-Wilhelms-Universit¨atBonnvorgelegt vonSimon KreuzerausTroisdorfBonn, Juli 2010Angefertigt mit Genehmigung derMathematisch-Naturwissenschaftlichen Fakult¨at derRheinischen Friedrich-Wilhelms-Universit¨at Bonn1. Referent: Prof. Dr. H.-W. Hammer2. Referent: PD Dr. B. Ch. MetschTag der Promotion: 22. September 2010“Three shalt be the number thou shalt count,and the number of the counting shalt be three.Four shalt thou not count, neither count thoutwo, excepting that thou then proceed to three.Five is right out.”– Book of Armaments, 2:18–20,Monty Python and the Holy Grail.AbstractIn this work, three-body bound states were studied in finite volume using an Effective FieldTheory framework. The finite volumes under consideration are cubic volumes with periodicboundary conditions. The Effective Field Theory framework used in this work employsonly contact interactions and is particularly well suited for studies of universal properties,i.e. properties independent of the details of the interaction on short distances. A particularexampleinthethree-bodysectoristheEfimoveffect, theemergenceofageometrically spacedbound state spectrum.In the first part, systems of three identical bosons are investigated.