Aguirre Téllez, Manuel A.; Bollini, C. G.; Rocca, M. C. On the product of distributions with coincident point singularities. (English) Zbl 0966.81047 J. Math. Chem. 25, No. 2-3, 171-180 (1999). Summary: We generalize the result obtained by A. González Domínguez and R. Scarfiello [Rev. Un. Mat. Argentina, Volumen de Homenaje a Beppo Levi, 53-67 (1956; Zbl 0072.31902)]; and B. Fisher, Proc. Camb. Philos. Soc. 72, 201-204 (1972; Zbl 0239.46031)]. This result can be used in quantum field theory for the evaluation of products of propagators of the fields. With this new result we obtain the product \((c^2+ P)^{-n}\cdot\delta^{m- 1}(c^2+ p)\). As a physical example, we evaluate the self-energy Green function of a massless scalar field. MSC: 81T15 Perturbative methods of renormalization applied to problems in quantum field theory 46F99 Distributions, generalized functions, distribution spaces 81T99 Quantum field theory; related classical field theories Keywords:self-energy Green function of a massless scalar field Citations:Zbl 0072.31902; Zbl 0239.46031 PDFBibTeX XMLCite \textit{M. A. Aguirre Téllez} et al., J. Math. Chem. 25, No. 2--3, 171--180 (1999; Zbl 0966.81047) Full Text: DOI