The String Partition Function for QCD on the Torus
arXiv:hep-th/9407176
Abstract
We study the free energy of the pure glue QCD string with a torus target space and the gauge groups and (chiral) . It is highly constrained by a strong/weak gauge coupling duality which results in modular covariance. The string free energy is computed exactly in terms of modular forms for worldsheet genera 1 - 8. It has a surprisingly mild singularity in the weak gauge coupling/small area limit.
22 pages, RU-94-58