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

Citation
A. Hart et al., Z(2) monopoles in D=2+1 SU(2) lattice gauge theory, J HIGH EN P, 2000(11), 2000, pp. NIL_820-NIL_832
Citations number
11
Categorie Soggetti
Physics
Journal title
JOURNAL OF HIGH ENERGY PHYSICS
ISSN journal
10298479 → ACNP
Volume
2000
Issue
11
Year of publication
2000
Pages
NIL_820 - NIL_832
Database
ISI
SICI code
1029-8479(200011)2000:11<NIL_820:ZMIDSL>2.0.ZU;2-N
Abstract
We calculate the euclidean action of a pair of Z(2) monopoles (instantons), as a function of their spatial separation, in D = 2 + 1 SU(2) lattice gaug e theory. We do so both above and below the deconfining transition at T = T -c. At high T, and at large separation, we find that the monopole "interact ion" grows linearly with distance: the flux between the monopoles forms a f lux tube (exactly like a finite portion of a Z(2) 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 m ass, possibly equal to the Debye electric screening mass. At low T the inte raction can be described by a simple screened Coulomb (i.e. Yukawa) interac tion with a screening mass that can be interpreted as the mass of a "consti tuent gluon". None of this is unexpected, but it helps to resolve some appa rent controversies in the recent literature.