Analyticity properties and a convergent expansion for the glueball mass and dispersion curve of strongly coupled Euclidean 2+1 lattice gauge theories

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Abstract
For certain strongly coupled (2/g2≡β>0 and small) Euclidean Z3 lattice gauge theories we show that the glueball mass m(β) associated with the truncated plaquette–plaquette correlation function admits the representation m(β)=−4 ln β+r(β). r(β)=∑∞n=0bnβn is a gauge group representation dependent function, analytic at β=0. A finite algorithm is given for determining bn. bn depends on a finite number of the β=0 Taylor series coefficients of the finite lattice correlation function at a finite number of points, increasing with n, of Z3.