Large-N SU(N) Yang-Mills theories with milder topological freezing
Claudio Bonanno, Claudio Bonati, Massimo D’Elia
Abstract
A bstract We simulate 4d SU( N ) pure-gauge theories at large N using a parallel tempering scheme that combines simulations with open and periodic boundary conditions, implementing the algorithm originally proposed by Martin Hasenbusch for 2 d CP N –1 models. That allows to dramatically suppress the topological freezing suffered from standard local algorithms, reducing the autocorrelation time of Q 2 up to two orders of magnitude. Using this algorithm in combination with simulations at non-zero imaginary θ we are able to refine state-of-the-art results for the large- N behavior of the quartic coefficient of the θ -dependence of the vacuum energy b 2 , reaching an accuracy comparable with that of the large- N limit of the topological susceptibility.