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...
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| creator | Bietenholz, Wolfgang Czaban, Christopher Dromard, Arthur Gerber, Urs Hofmann, Christoph P Mejía-Díaz, Héctor Wagner, Marc |
| description | 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. |
| doi_str_mv | 10.48550/arxiv.1603.05630 |
| format | Article |
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| subjects | Computer simulation Energy levels Lattices (mathematics) Mathematical models Monte Carlo simulation Physics - High Energy Physics - Lattice Physics - High Energy Physics - Phenomenology Quantum theory Topology Yang-Mills theory |
| title | Interpreting Numerical Measurements in Fixed Topological Sectors |
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