HEM 2016: Interpreting Numerical Measurements in Fixed Topological Sectors

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Interpreting Numerical Measurements in Fixed Topological Sectors

For quantum field theories with topological sectors, Monte Carlo simulations on fine lattices tend to be obstructed by an extremely long auto-correlation time with respect to the topological charge. Then reliable numerical measurements are feasible only within individual sectors. The challenge is to assemble such restricted measurements in a way that leads to a substantiated approximation to the fully fledged result, which would correspond to the correct sampling over the entire set of configurations. We test an approach for such a topological summation, which was suggested by Brower, Chandrasekharan, Negele and Wiese. Under suitable conditions, energy levels and susceptibilities can be obtained to a good accuracy, as we demonstrate for O(N) models, SU(2) Yang-Mills theory, and for the Schwinger model.

Comments: 41 pages, LaTex, 12 figures, 10 tables
Subjects: High Energy Physics – Lattice (hep-lat); High Energy Physics – Phenomenology (hep-ph)
Cite as: arXiv:1603.05630 [hep-lat]
(or arXiv:1603.05630v1 [hep-lat] for this version)

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