A bstract We study the θ -dependence of the string tension and of the lightest glueball mass in four-dimensional SU( N ) Yang-Mills theories. More precisely, we focus on the coefficients parametrizing the O(θ²) O θ 2 dependence of these quantities, which we investigate by means of numerical simulations of the lattice-discretized theory, carried out using imaginary values of the θ parameter. Topological freezing at large N is avoided using the Parallel Tempering on Boundary Conditions algorithm. We provide controlled continuum extrapolations of such coefficients in the N = 3 case, and we report the results obtained on two fairly fine lattice spacings for N = 6.
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Bonanno et al. (2024) studied this question.
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