arXiv subjects
Publications and source records attributed to Luiz. C. L. Botelho.
Trough the systematic use of the Minlos theorem on the support of cylindrical measures on R infinity, we produce several mathematically rigorous path integrals in interacting euclidean quantum fields with Gaussian free measures defined by generalizeds powers of the laplacean operator on finite volume space-times
By means of the Minlos Theorem on support of cylindrical measures on vectorial topological spaces, we present several results on the rigorous definitions of Euclidean path integrals and applications to some problems on non-linear diffusion, nonlinear wave propagations and covariant Polyakov"s path Integrals yielding news results on the subject as well.
We consider the problem of infrared divergences in string theory in embeddings manifolds by means of the Nash theorem of Riemann metrics pametrized by immersions