Geometric Aspects of Confining Strings

Details Geometric Aspects of Confining Strings Geometric Aspects of Confining Strings

1998-03-05

arxiv.org/abs/hep-th/9803046v3

Nucl.Phys. B531 (1998) 151-167

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, 4 figures, harvmac

Scientific paper

10.1016/S0550-3213(98)00529-X

Confining strings in 4D are effective, thick strings describing the confinement phase of compact U(1) and, possibly, also non-Abelian gauge fields. We show that these strings are dual to the gauge fields, inasmuch as their perturbative regime corresponds to the strong coupling (large e) regime of the gauge theory. In this regime they describe smooth surfaces with long-range correlations and Hausdorff dimension two. For lower couplings e and monopole fugacities z, a phase transition takes place, beyond which the smooth string picture is lost. On the critical line intrinsic distances on the surface diverge and correlators vanish, indicating that world-sheets become fractal.

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