Particle theory

Abstract:

We consider methods of interpolating between the crystalline and dynamically triangulated random surface models. We argue that actions based on the deviation from six of the coordination number at a site are inadequate and propose an alternative based on Alexander moves. Two simplified models, one of which has a phase transition and the other of which does not, are discussed.

Abstract:

We investigate confinement in D = 3 SU(2) lattice gauge theory. We confirm the approximately linear character of confinement at large distances. The corresponding continuum string tension is found to be √σ/g2 = 0.3340 ± 0.0025. We also find that the flux is located within a tube and that the width of this flux tube is l0{reversed tilde equals} 1.22/Tc where Tc is the deconfining temperature. The dominant fluctuations of the confining flux tube appear to be simple wavelike oscillations. This is remarkably similar to the expected properties of confinement in four dimensions. © 1993.