Exact Massive Solutions of Classical Massless Field Theories

Abstract

We give the exact solution of classical equation of motion of a quartic scalar massless field theory showing that this is massive and is represented by a superposition of free particle solutions with a discrete spectrum. Then we show that this is also a solution of the classical Yang-Mills field theory that is so proved acquiring mass by dynamical evolution with a corresponding discrete mass spectrum. Finally we develop quantum field theory starting with this solution.

5 pages, no figure. Major corrections into the solution of Yang-Mills equations and quantum field theory