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Topological Summation in Lattice Gauge Theory · Around

2012

Topological Summation in Lattice Gauge Theory

Bietenholz, Wolfgang, Hip, Ivan

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In gauge theories the field configurations often occur in distinct topological sectors.

In a lattice regularised system with chiral fermions, these sectors can be defined by referring to the Atiyah-Singer Index Theorem.
However, if such a model is simulated with local updates of the lattice gauge configuration, the Monte Carlo history tends to get stuck in one sector for many steps, in particular on fine lattices.
Then expectation values can be measured only within specific sectors.

Built on

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Bietenholz W, Hip I, Shcheredin S and Volkholz J 2011 arXiv:1109.2649 [hep-lat]
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