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Theta dependence of SU(N) gauge theories

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


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

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