The String Partition Function for QCD on the Torus

1994/07/26 by Robert E. Rudd, Robert Rudd, Rudd, Robert · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9407176

22 pages, RU-94-58

arxiv created 1994/07/26 · openalex publication_date 1994/07/26 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Lie Algebras in Particle Physics: From Isospin to Unified Theories

Cited by

• A String Theory for Two-Dimensional Yang-Mills Theory II
• Bosonization, BTZ Black Hole Microstates, and Logarithmic Correction to Entropy

Related

• Small Instantons, Little Strings and Free Fermions
• Hadronic String from Confinement
• Quantum delocalization of strings with boundary action in Yang-Mills theory
• Spectrum of the open QCD flux tube and its effective string description
• Infrared region of QCD and confining strings