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Topology of gauge theories at and

Michael Teper, Urs Wenger, Biagio Lucini Orcid Logo

Nuclear Physics B, Volume: "B715", Issue: 1-2, Pages: 461 - 482

Swansea University Author: Biagio Lucini Orcid Logo

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Abstract

We calculate the topological charge density of SU(N) lattice gauge fields for values of N up to N=8. Our T=0 topological susceptibility appears to approach a finite non-zero limit at N=infinity that is consistent with earlier extrapolations from smaller values of N. Near the deconfining temperature...

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Published in: Nuclear Physics B
ISSN: 05503213
Published: 2004
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa27946
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Abstract: We calculate the topological charge density of SU(N) lattice gauge fields for values of N up to N=8. Our T=0 topological susceptibility appears to approach a finite non-zero limit at N=infinity that is consistent with earlier extrapolations from smaller values of N. Near the deconfining temperature Tc we are able to investigate separately the confined and deconfined phases, since the transition is quite strongly first order. We find that the topological susceptibility of the confined phase is always very similar to that at T=0. By contrast, in the deconfined phase at larger N there are no topological fluctuations except for rare, isolated and small instantons. This shows that as N->infinity the large-T suppression of large instantons and the large-N suppression of small instantons overlap, even at T=Tc, so as to suppress all topological fluctuations in the deconfined phase. In the confined phase by contrast, the size distribution is much the same at all T, becoming more peaked as N grows, suggesting that D(rho) is proportional to a delta function at N=infinity, centered on rho close to 1/Tc.
College: Faculty of Science and Engineering
Issue: 1-2
Start Page: 461
End Page: 482