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Erlangen 2001 – wissenschaftliches Programm

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HK: Physik der Hadronen und Kerne

HK 35: Theorie VI

HK 35.5: Vortrag

Mittwoch, 21. März 2001, 17:45–18:00, B

The Glueball Spectrum as Eigenvalue Problem — •Vera Wethkamp, Andreas Wichmann, Dieter Schütte, and Bernard Metsch — Institut für Theoretische Kernphysik der Universität Bonn, Nußallee 14-16, D-53115 Bonn, Germany

The glueball spectrum for SU(2) Yang-Mills theory is calculated via the coupled cluster method in hamiltonian lattice gauge field theory. For this method the quantum states are gauge invariant functions Ψ(U) of link variables (USU(2)) on various spatial lattices in the infinite volume limit. Within the coupled cluster method the vacuum state ψ0 (U) is written as ψ0 = eS and the eigenvalue problem of the hamiltonian is formulated as a non-linear equation for the function S(U). Glueball states are written as ψ = F eS , yielding a linear eigenvalue problem for F. In order to expand S and F a large, but finite gauge invariant basis is constructed. This basis is built via p-fold plaquette (i.e. simplest gauge invariant quantity on the lattice) products and is truncated (to order q) by taking all states with pq. Lattice translation and rotation symmetries are used to project to states with well-defined lattice spin. Numerical calculations of glueball mass ratios are presented and the approximate scale invariance is discussed.

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