Exotic nonlinear analysis, part 3: Yang-Mills quantum fields
Jean-Bernard Pécot · Dynamics of Partial Differential Equations · 2007
We generalize the inverse function theorem to show the existence of an infinity of smooth classical symmetric Yang-Mills gauge fields and of some particular kinds of super-symmetric Yang-Mills gauge fields in a smooth 3-dimensional compact manifold with boundary for any finite interval of time or in whole R 4 .