Geometric Aspects of Confining Strings

Abstract

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.

19 pages, 4 figures, harvmac

References in corpus (1)

• Surfaces with Long-Range Correlations from Non-Critical Strings

Cited by in corpus (11)

• Zero Point Energy of Renormalized Wilson Loops
• Quantum magnetic monopole condensate
• Strings with Negative Stiffness and Hyperfine Structure
• Do Quarks Obey D-Brane Dynamics? II
• QCD-Like Behaviour of High-Temperature Confining Strings
• Confining Strings at High Temperature
• Duality and Confinement in Massive Antisymmetric Tensor Gauge Theories
• A Confining String Theory Derivable from Yang-Mills Theory due to a Novel Vacuum Condensate
• Universality Class of Confining Strings
• Do Quarks Obey D-Brane Dynamics?
• Regge Trajectories by 0-Brane Matrix Dynamics