Theta dependence of SU(N) gauge theories

Luigi Del Debbio, Haralambos Panagopoulos, Ettore Vicari

Research output: Contribution to journalArticlepeer-review


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
Original languageEnglish
Pages (from-to)-
Number of pages11
JournalJournal of High Energy Physics
Issue number08
Publication statusPublished - 16 Apr 2002


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


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