The String Partition Function for QCD on the Torus

Details The String Partition Function for QCD on the Torus The String Partition Function for QCD on the Torus

1994-07-26

arxiv.org/abs/hep-th/9407176v1

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, RU-94-58

Scientific paper

We study the free energy of the pure glue QCD string with a torus target space and the gauge groups $SU(N)$ and (chiral) $U(N)$. 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.

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