Glueballs in Flatland
Abstract
The pure gauge theory in 2+1 dimensions is explored, through both a phenomenological model and a lattice calculation. The IsgurPaton model is extended to include a curvature term and various mixing mechanisms. The method of inferential statistics is used to extract the parameters of best fit and to compare the likelihoods of the various models when compared to existing lattice data. The conventional assignment of spin 0 to the pseudoscalar state is called into question by the proximity of a spin 4 state in the model, which motivates calculating the mass of the spin 4 state on the lattice. Novel lattice operators are constructed from a matrix of effective Greens functions which attempt to overcome the lattice rotational ambiguities. Correlation functions are presented for the channels with even J, and effective masses extracted. The resulting masses compare well with the extended IsgurPaton model.
 Publication:

arXiv eprints
 Pub Date:
 October 2007
 arXiv:
 arXiv:0710.2309
 Bibcode:
 2007arXiv0710.2309J
 Keywords:

 High Energy Physics  Lattice
 EPrint:
 152 pages, 78 figures, 31 tables, doctoral thesis Oxford 2001