Topology and zero modes in the SU(2) lattice gauge vacuum |
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| Affiliation: | Department of Natural Philosophy, University of Glasgow, Glasgow G12 8QQ, Scotland, UK;Physics Department, University of Southampton, Southampton S09 5NH, UK |
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| Abstract: | Evidence is presented that the Atiyah-Singer index theorem is effectively restored on the lattice for numerically accessible values of the lattice spacing (corresponding to β 4/g2 ⩾2.4). It is shown explicitly how topological lattice artifacts decouple from the long-distance fermionic physics. Evidence is presented that while the spontaneous breaking of chiral symmetry does receive contributions of a topological origin, these are not the only contributions. |
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