Summary
The singularities on the complex plane ofλ’s of the distributions [(ξ 1 −ξ 2)2 −i0+)]λ 12· [(ξ 1 −ξ 3)2 −i0+]λ 13· … · [(ξ n−1 −ξ n )2 −i0+]λn − 1n are investigated in the framework of the method of analytic regularization in configuration space.
Riassunto
Nell’ambito del metodo di regolarizzazione analitica nello spazio delle configurazioni, si analizzano le singolarità, sul piano complesso delleλ, delle distribuzioni [(ξ 1 −ξ 2)2 −i0+]λ 12· [(ξ 1 −ξ 3)2 −i0+]λ 13· … · [(ξ n − 1 −ξ n)2 −i0+]λn − 1n.
Реэюме
В рамках метода аналитической регуляриэации в конфигурационном пространстве исследуются сингулярности распределений\(\left[ {\left( {\xi _1 - \xi _2 } \right)^2 - i0^ + } \right]^{\lambda _{12 \cdot } } \left[ {\left( {\xi _1 - \xi _3 } \right)^2 - i0^ + } \right]^{\lambda _{13 \cdot } } ._{...} .\left[ {\left( {\xi _{n - 1} - \xi _n } \right)^2 - i0^ + } \right]^{\lambda _{n - 1n} } \) на комплексной плоскостиλ.
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Guerra, F. On analytic regularization in quantum field theory. Nuov Cim A 1, 523–535 (1971). https://doi.org/10.1007/BF02723277
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DOI: https://doi.org/10.1007/BF02723277