High-temperature series analysis of the p-state Potts glass model on d-dimensional hypercubic lattices

We analyze recently extended high-temperature series expansions for the "Ed wards-Anderson" spin-glass susceptibility of the p-state Potts glass model on d-dimensional hypercubic lattices for the case of a symmetric bimodal di stribution of ferro- and antiferromagnetic nearest-neighbor couplings J(ij) = +/-J. In these star-graph expansions up to order 22 in the inverse tempe rature K equivalent to J beta equivalent to J/k(B)T, the number of Potts st ates p and the dimension d are kept as free parameters which can take any v alue. By applying several series analysis techniques to the new series expa nsions, this enabled us to determine the critical coupling K-c and the crit ical exponent gamma of the spin-glass susceptibility in a large region of t he two-dimensional (p, d)-parameter space. We discuss the thus obtained inf ormation with emphasis on the lower and upper critical dimensions of the mo del and present a careful comparison with previous estimates for special va lues of p and d.