Journal article 871 views
Bbb Z2 monopoles in D = 2+1 SU(2) lattice gauge theory
Journal of High Energy Physics, Volume: "0011", Issue: 11, Pages: 043 - 043
Swansea University Author: Biagio Lucini
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DOI (Published version): 10.1088/1126-6708/2000/11/043
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'...
Published in: | Journal of High Energy Physics |
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ISSN: | 1029-8479 |
Published: |
2000
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Online Access: |
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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. |
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College: |
Faculty of Science and Engineering |
Issue: |
11 |
Start Page: |
043 |
End Page: |
043 |