Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2002-12-16
Nucl.Phys. B658 (2003) 113-155
Physics
High Energy Physics
High Energy Physics - Lattice
Minor changes in the text; the spin 4 glueball mass is taken further out in Euclidean time at higher beta values. 41 pages, 20
Scientific paper
10.1016/S0550-3213(03)00183-4
We discuss the principles underlying higher spin glueball calculations on the lattice. For that purpose, we develop numerical techniques to rotate Wilson loops by arbitrary angles in lattice gauge theories close to the continuum. As a first application, we compute the glueball spectrum of the SU(2) gauge theory in 2+1 dimensions for both parities and for spins ranging from 0 up to 4 inclusive. We measure glueball angular wave functions directly, decomposing them in Fourier modes and extrapolating the Fourier coefficients to the continuum. This allows a reliable labelling of the continuum states and gives insight into the way rotation symmetry is recovered. As one of our results, we demonstrate that the D=2+1 SU(2) glueball conventionally labelled as J^P = 0^- is in fact 4^- and that the lightest ``J=1'' state has, in fact, spin 3.
Meyer Harvey B.
Teper Michael J.
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