Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
1993-03-17
Phys.Rev. D48 (1993) 2290-2298
Physics
High Energy Physics
High Energy Physics - Lattice
15 pages (REVTEX 2.1). Figures: 11, not included (available by request from trottier@sfu.ca by regular mail, postscript files,
Scientific paper
10.1103/PhysRevD.48.2290
Flux-tubes in different representations of SU(2) and U(1) lattice gauge theories in three dimensions are measured. Wilson loops generate heavy ``quark-antiquark'' pairs in fundamental ($j=1/2$), adjoint ($j=1$), and quartet ($j=3/2$) representations of SU(2). The first direct lattice measurements of the flux-tube cross-section ${\cal A}_j$ as a function of representation are made. It is found that ${\cal A}_j \approx {\rm constant}$, to about 10\%. Results are consistent with a connection between the string tension $\sigma_j$ and ${\cal A}_j$ suggested by a simplified flux-tube model, $\sigma_j = g^2 j(j+1) / (2 {\cal A}_j)$ [$g$ is the gauge coupling], given that $\sigma_j$ scales like the Casimir $j(j+1)$, as observed in previous lattice studies in both three and four dimensions. The results can discriminate among phenomenological models of the physics underlying confinement. Flux-tubes for singly- and doubly-charged Wilson loops in compact QED$_3$ are also measured. It is found that the string tension scales as the squared-charge and the flux-tube cross-section is independent of charge to good approximation. These SU(2) and U(1) simulations lend some support, albeit indirectly, to a conjecture that the dual superconductor mechanism underlies confinement in compact gauge theories in both three and four dimensions.
Trottier Howard D.
Woloshyn Richard M.
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