Variational Investigation of the Mass Spectrum in 2+1 Dimensional SU(2) Lattice Gauge Theory
- 1 November 1990
- journal article
- Published by Oxford University Press (OUP) in Progress of Theoretical Physics
- Vol. 84 (5) , 951-960
- https://doi.org/10.1143/ptp.84.951
Abstract
The mass spectrum of the excited states in 0++ sector of SU(2) lattice gauge theory in 2+1 dimension is investigated by the variational method, in which the approximate wave function of the ground state obtained by Greensite in Monte Carlo simulation is used and all rectangular Wilson loop variables up to 25×25 are contained in the trial wave function of the excited state. As a result the scaling behaviour m1a=(2.056±0.001)g2 for the mass of the first excited state (mass gap), m2a=(3.64±0.03)g2 for the mass of the second excited state and m3a=(5.15±0.10)g2 for the mass of the third excited state in the weak coupling region is obtained. Corresponding wave functions also exhibit scaling behaviour.Keywords
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