## Theta dependence of SU(N) gauge theories

Research output: Contribution to journalArticle

### Documents

Original language English - 11 Journal of High Energy Physics 2002 08 https://doi.org/10.1088/1126-6708/2002/08/044 Published - 16 Apr 2002

### Abstract

We study the $\theta$ dependence of four-dimensional SU($N$) gauge theories, for $N\geq 3$ and in the large-N limit. We use numerical simulations of the Wilson lattice formulation of gauge theories to compute the first few terms of the expansion of the ground-state energy $F(\theta)$ around $\theta=0$, $F(\theta)-F(0) = A_2 \theta^2 (1 + b_2 \theta^2 + ...)$. Our results support Witten's conjecture: $F(\theta)-F(0) = {\cal A} \theta^2 + O(1/N)$ for sufficiently small values of $\theta$, \$\theta

### Research areas

• hep-th, hep-lat, Nonperturbative Effects, 1/N Expansion, Lattice Gauge Field Theories