A numerical study of confinement in compact QED

Compact U(1) lattice gauge theory in four dimensions is studied by means of an efficient algorithm which exploits the duality transformation properties of the model. We focus our attention onto the confining regime, considering the interquark potential and force, and the electric field induced by two infinitely heavy sources. We consider both the zero and finite temperature setting, and compare the theoretical predictions derived from the effective string model and the dual superconductor scenario to the numerical results.Comment: 31 pages, 16 eps figures; v2: references added; v3: footnote added, summation ranges in section 4 made explicit, version published in JHE

Supersymmetric null-surfaces

Single trace operators with the large R-charge in supersymmetric Yang-Mills theory correspond to the null-surfaces in $AdS_5\times S^5$. We argue that the moduli space of the null-surfaces is the space of contours in the super-Grassmanian parametrizing the complex $(2|2)$-dimensional subspaces of the complex $(4|4)$-dimensional space. The odd coordinates on this super-Grassmanian correspond to the fermionic degrees of freedom of the superstring.Comment: v4: added a reference to the earlier work; corrected the formula for the stabilizer of the BMN vacuum; added the discussion of the complex structure of the odd coordinates in Section 3.

GAUGE GROUP AND PHASES OF SUPERFLUID 3He

On propose une classification des phases A et B qui ne fait appel ni à la contrainte d'unitarité , ni à des restrictions sur l'aimantation nucléaire et la susceptibilité.The p-wave phases of superfluid 3He are classified without the unitary constraint or the constraints on the net nuclear magnetization and the magnetic susceptibility

CHIRAL FIELDS AND 3He

Le paramètre d'ordre de 3He superfluide est étudié dans la limite de Ginzburg-Landau, à l'aide du groupe de symétrie SO(3) x SO(3) x U(1). Nous introduisons des courants hydrodynamiques définis sur une algèbre de Lie, et nous discutons la chiralité. Un exemple de structure en domaines dans la phase B est donné.In the G-L region we study the spaces of the order parameter for superfluid 3He with the help of the [MATH] = SO(3) x SO(3) x U(1) - symmetry. Within this framework we introduce a form of hydrodynamic currents, which take the values in the Lie algebra [MATH], and discuss the problem of chiral theory with several vacuums. An example of domain structure in the B-phase of 3He is indicated