ABSTRACT

A long-standing problem in particle physics is solved by deriving the Deep Inelastic structure functions of the proton from the fundamental theory of strong interactions, Quantum ChromoDynamics (QCD). In the Bjorken limit, the momenta of the constituents of the proton can be assumed to be in a two-dimensional plane in Minkowski space: a dimensional reduction of QCD to two space-time dimensions. Two dimensional QCD is then shown to be equivalent for all energies and values of number of colors N to a new theory of hadrons, Quantum HadronDynamics. The Grassmannian is a union of connected components labelled by an integer which has the physical meaning of baryon number. The proton is the topological soliton: the minimum of the energy in the sector with baryon number one gives the structure functions of the proton. The proton is the topological soliton: the minimum of the energy in the sector with baryon number one gives the structure functions of the proton.