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Scattering phase shift for elastic two pion scattering and the rho resonance in lattice QCD

URN to cite this document: urn:nbn:de:bvb:355-epub-260298

Gutzwiller, Simone (2012) Scattering phase shift for elastic two pion scattering and the rho resonance in lattice QCD. PhD, Universität Regensburg

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Abstract (English)

In this thesis we use lattice QCD to compute scattering phase shifts for elastic twopion
scattering in the isospin I = 1 channel. Using Lüscher's formalism, we derive the
scattering phase shifts for different total momenta of the two-pion system in a nonrest
frame. Furthermore we analyse the symmetries of the non-rest frame lattices and
construct 2-pion and rho operators transforming in accordance with these symmetries.
The data was collected for a 32^3x64 and a 40^3x64 lattice with Nf = 2 clover improved
Wilson fermions at a pion mass around 290 MeV and a lattice spacing of about 0.072
fm.

Translation of the abstract (German)

In dieser Doktorarbeit benutzen wir Gitter QCD um die
Streuphasenverschiebungen für elastische 2-pion Streuung im Isospin
I=1 Kanal zu berechnen. Mithilfe von Lüschers Formalismus leiten wir die
Streuphasen für das 2-pion System mit verschiedenen Gesamtimpulsen her.
Ausserdem untersuchen wir die Symmetrien des Gitters im bewegten System
und konstruieren 2-pion und rho Operatoren, die sich entsprechend dieser
Symmetrien transformieren. Die Daten entstanden unter Verwendung eines
32^3x64 und 40^3x64 Gitters mit Nf=2 clover-Wilson Fermionen mit einer
Pionmasse von ca. 290 MeV und einem Gitterabstand von ca. 0.072 fm.

Item Type:	Thesis of the University of Regensburg (PhD)
Referee:	PD Dr. Meinulf Göckeler
Date of exam:	08 October 2012
Institutions:	Physics > Institute of Theroretical Physics > Chair Professor Schäfer > Group Andreas Schäfer
Keywords:	lattice qcd, scattering phase shift, resonances
Subjects:	500 Science > 530 Physics
Status:	Published
Refereed:	Yes, this version has been refereed
Created at the University of Regensburg:	Yes
Owner:	Universitätsbibliothek Regensburg
Deposited On:	10 Oct 2012 11:40
Last Modified:	10 Oct 2012 11:40
Item ID:	26029

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