Evaluation of the free energy of two-dimensional Yang-Mills theory
Evaluation of the free energy of two-dimensional Yang-Mills theory
The free energy in the weak-coupling phase of two-dimensional Yang-Mills theory on a sphere for $\mathrm{SO}(N)$ and $\mathrm{Sp}(N)$ is evaluated in the $\frac{1}{N}$ 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 …