2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/54246Pure Yang-Mills theories on the $S_1\times R$ cylinder are quantized in light-cone gauge $A_-=0$ by means of ${\bf equal-time}$ commutation relations. Positive and negative frequency components are excluded from the ``physical" Hilbert space by imposing Gauss' law in a weak sense. Zero modes, related to the winding on the cylinder, provide non trivial topological variables of the theory. A Wilson loop with light-like sides is studied: in the abelian case it can be exactly computed obtaining the expected area result, whereas difficulties are pointed out in non abelian cases.21 pages, revtex, one figure includedHigh Energy Physics - TheoryYang-Mills theories on the space-time $S_1 \times R$ cylinder: equal-time quantization in light-cone gauge and Wilson loopstext