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Bbb Z2 monopoles in D = 2+1 SU(2) lattice gauge theory

Z. Schram, A. Hart, M. Teper, Biagio Lucini Orcid Logo

Journal of High Energy Physics, Volume: "0011", Issue: 11, Pages: 043 - 043

Swansea University Author: Biagio Lucini Orcid Logo

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Abstract

We calculate the Euclidean action of a pair of Z2 monopoles (instantons), as a function of their spatial separation, in D=2+1 SU(2) lattice gauge theory. We do so both above and below the deconfining transition at T=Tc. At high T, and at large separation, we find that the monopole `interaction'...

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Published in: Journal of High Energy Physics
ISSN: 1029-8479
Published: 2000
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URI: https://cronfa.swan.ac.uk/Record/cronfa27964
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Abstract: We calculate the Euclidean action of a pair of Z2 monopoles (instantons), as a function of their spatial separation, in D=2+1 SU(2) lattice gauge theory. We do so both above and below the deconfining transition at T=Tc. At high T, and at large separation, we find that the monopole `interaction' grows linearly with distance: the flux between the monopoles forms a flux tube (exactly like a finite portion of a Z2 domain wall) so that the monopoles are linearly confined. At short distances the interaction is well described by a Coulomb interaction with, at most, a very small screening mass, possibly equal to the Debye electric screening mass. At low T the interaction can be described by a simple screened Coulomb (i.e. Yukawa) interaction with a screening mass that can be interpreted as the mass of a `constituent gluon'. None of this is unexpected, but it helps to resolve some apparent controversies in the recent literature.
College: Faculty of Science and Engineering
Issue: 11
Start Page: 043
End Page: 043