Recently we have proposed a set of variables for describing the physical parameters of SU(N) Yang-Mills field. Were we derive an off-shell generalization of this Ansatz, For this we envoke the Darboux theorem to decompose arbitrary one-form with respect t
We propose a reformulation of SU(2) Yang-Mills theory in terms of new variables, appropriate for describing the theory in its infrared limit. These variables suggest a dual picture of the Yang-Mills theory where the short distance limit describes asymptot
In 1867, Lord Kelvin proposed that atoms-then considered to be elementary particles-could be described as knotted vortex tubes in ether(1). For almost two decades, this idea motivated an extensive study of the mathematical properties of knots, and the res