Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2012-01-30
Physics
High Energy Physics
High Energy Physics - Lattice
13 pages, LaTex, 5 figures, 1 table, talk presented at the XIII Mexican Workshop on Particles and Fields, Leon, 2011
Scientific paper
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. Here we present a pilot study in the 2-flavour Schwinger model which explores methods of approximating the complete result for an observable - corresponding to a suitable sum over all sectors - based on numerical measurements in a few specific topological sectors. We also probe various procedures for an indirect evaluation of the topological susceptibility, starting from such topologically restricted measurements.
Bietenholz Wolfgang
Hip Ivan
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