Membranes

Color flux profiles in SU(2) lattice gauge theory

“…Without restrictions on δ 0 we find the limits δ 0 ≤ 2.2/(π √ K) and R −1 0 ≥ 3 √ K, respectively (dashed curve). In case of the simpler case of 3d Z 2 gauge theory, Gliozzi has observed a more pronounced logarithmic increase of δ(R) [5].…”

A numerical study of confinement in compact QED

“…Improvement may occur due to various reasons: the dual model may be defined in terms of variables which are "simpler" (or "simpler to handle" for a computer) than the original ones; the dynamics of the dual model itself may be "simpler" than in the original theory; some observables may be evaluated with a higher precision from direct measurements in the dual model. Indeed, the duality technique has been successfully used in many numerical studies of Z 2 lattice gauge theory [19,23,30,[56][57][58], and it was already tested for this model in [9], where the electric field, magnetic current, and flux tube width were investigated; on the other hand, in [59][60][61] it was applied to the Villain formulation of the theory.…”

“…In the dual formulation, instead, the problem is completely overcome, since a lattice estimate of the interquark force for the U(1) gauge model -which, in se, is finite even for very large interquark distances -can be obtained from direct measurements in the dual system. In this respect, this duality-inspired method can be considered as a possible alternative to other popular error-reduction numerical techniques, like the multi-level algorithm proposed by Lüscher and Weisz [62], which has been used to achieve exponential error reduction in several different gauge models [18,20,24,63,64], including compact U(1) lattice gauge theory in D = 4 [10,65].…”

Sweeny and Gliozzi dynamics for simulations of Potts models in the Fortuin-Kasteleyn representation

“…Cluster algorithms have played an interesting role in statistical physics, both for their importance in constructing efficient computational algorithms and their unusual dynamical properties. Very recently, Gliozzi has introduced a new cluster algorithm, which he claims to be free of critical slowing down [1] . Since an understanding of the dynamics at the critical temperature is central to both dynamic universality classes and computational efficiency, we have made a comparison of the four main cluster methods for Potts models due to Sweeny [2], Swendsen and Wang [3], Wolff [4], and Gliozzi [1].…”