Abstract
In this paper we generalize the result obtained by Gonzáles Domínguez, Scarfiello and Fisher (A. Gonzáles Domínguez and R. Scarfiello, Rev. Un. Mat. Argentina, Volumen de Homenaje a Beppo Levi (1956) 58–67; B. Fisher, Proc. Cambridge Philos. Soc. 72 (1972) 201–204). 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 \(\left( {c^2 + P} \right)^{ - n} \cdot \delta ^{m - 1} \left( {c^2 + P} \right)\). As a physical example, we evaluate the self‐energy Green function of a massless scalar field.
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Aguirre Tellez, M., Bollini, C. & Rocca, M. On the product of distributions with coincident point singularities. Journal of Mathematical Chemistry 25, 171–180 (1999). https://doi.org/10.1023/A:1019132400187
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DOI: https://doi.org/10.1023/A:1019132400187