at the vacuum. We show two typical, asymptotic-free solutions which are different in their infrared behaviors. For both types of solutions, we could obtain quarkconfinement potential from the Wilson-loop. The stability of the tachyon and the ZigZag symmetry are also discussed for these solutions. 1

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I construct 1/16, 1/8 and 1/4 BPS Wilson loops in N = 4 supersymmetric Yang-Mills theory and argue that expectation values of 1/4 BPS loops do not receive quantum corrections. At strong coupling, non-renormalization of supersymmetric Wilson loops implies subtle cancellations in the partition

Wilson loops in N = 4 supersymmetric Yang-Mills theory correspond at strong coupling to extremal surfaces in AdS5. We study a class of extremal surfaces known as special Legendrian submanifolds. The ”hemisphere ” corresponding to the circular Wilson loop is an example of a special Legendrian

We present a relation which connects the propagator in the radial (Fock-Schwinger) gauge with a gauge invariant Wilson loop. It is closely related to the well-known field strength formula and can be used to calculate the radial gauge propagator. The result is shown to diverge in four

The matrix model of ABJM theory can be formulated in terms of an ideal Fermi gas with a non-trivial one-particle Hamiltonian. We show that, in this formalism, vevs of Wilson loops correspond to averages of operators in the statistical-mechanical problem. This makes it possible to calculate

We show that all half-BPS Wilson loop operators in N = 4 SYM – which are labeled by Young tableaus – have a gravitational dual description in terms of D5-branes or alternatively in terms of D3-branes in AdS5×S5. We prove that the insertion of a half-BPS Wilson loop operator in the N = 4 SYM path

We give the formula for a simple Wilson loop on a sphere which is valid for an arbitrary QCD2 saddle-point ρ(x): W(A1, A2) = ∮ dx 2πi exp( ∫ dy ρ(y) + A2x). y−x QCD2 has recently drawn much attention because of the new insights brought about by the Gross-Taylor reinterpretation of its partition

the minimal-area prescription for the calculation of Wilson loops considering different possibilities. 1

We test numerically the effective string description of the infrared limit of lattice gauge theories in the confining regime. We consider the 3d ZZ2 lattice gauge theory, and we define ratios of Wilson loops such that the predictions of the effective string theory do not contain any adjustable