Spin Resolution of Glueballs in 2+1 Dimensional Lattice Gauge Theory

Conventional lattice gauge theory assigns the lowest spin compatible with the symmetry channel of a given operator to the state coupling to that operator. Operators on a cubic lattice, however, are only defined on angles of π/2, hence states with spin equal modulo 4 may overlap significantly. This paper explores a new technique for generating lattice operators that may be placed onto the lattice at angles other than π/2, thereby resolving this modulo 4 ambiguity. Calculations of the mass of states with spin equal to 0, 2, and 4 are performed in the positive parity and charge conjugation channel and compared to the spectrum from previous lattice calculations. These masses compare well for spin 0 and 2, and for spin 4 the mass agrees with a state conventionally assigned spin 0, raising the possibility of mis-identification of the spin of states coupling to some traditional operators. PACS numbers: 11.15Ha, 11.30Er, 12.38Lg e-mail: [email protected]