Evaluation of the Free Energy of Two-Dimensional Yang-Mills Theory
arXiv:hep-th/9601104 · doi:10.1103/PhysRevD.54.1809
Abstract
The free energy in the weak-coupling phase of two-dimensional Yang-Mills theory on a sphere for SO(N) and Sp(N) is evaluated in the 1/N expansion using the techniques of Gross and Matytsin. Many features of Yang-Mills theory are universal among different gauge groups in the large N limit, but significant differences arise in subleading order in 1/N.
10 pages; no figures; LaTeX
References in corpus (17)
- Large Phase Transition in Continuum QCD
- Two Dimensional QCD as a String Theory
- Twists and Wilson Loops in the String Theory of Two Dimensional QCD
- Large N 2D Yang-Mills Theory and Topological String Theory
- Instanton Induced Large Phase Transitions in Two and Four Dimensional QCD
- Summing Over Inequivalent Maps in the String Theory Interpretation of Two Dimensional QCD
- Wilson loop for large N Yang-Mills theory on a two-dimensional sphere
- Large-N quantum gauge theories in two dimensions
- Wilson loop on a sphere
- Two-dimensional Yang-Mills Theories Are String Theories
- Comment on Two Dimensional O(N) and Sp(N) Yang Mills Theories as String Theories
- Counting Strings and Phase Transitions in 2D QCD
- Wilson Loops in Large N QCD on a Sphere
- Twist Points as Branch Points for the QCD String
- Universal Aspects of Two-Dimensional Yang-Mills Theory at Large N
- The String Calculation of QCD Wilson Loops on Arbitrary Surfaces
- The String Calculation of Wilson Loops in Two-Dimensional Yang-Mills Theory
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