The String Partition Function for QCD on the Torus

Robert Rudd

The String Partition Function for QCD on the Torus

High Energy Physics - Theory 2007-05-23 v1

Authors: Robert Rudd

Abstract

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.

Keywords

string theory quantum chromodynamics

Cite

@article{arxiv.hep-th/9407176,
  title  = {The String Partition Function for QCD on the Torus},
  author = {Robert Rudd},
  journal= {arXiv preprint arXiv:hep-th/9407176},
  year   = {2007}
}

Comments

22 pages, RU-94-58

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