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On the Nearest Real Singularities of a Single Loop Feynman Diagram

M. Barmawi,

Data & Software Engineering Research Group
STEI-ITB, Jl. Ganeca No.10, Bandung 40132, Indonesia
 


Abstract.

The nearest singularities of production amplitude corresponding to a single loop Feynman diagram is discussed. It is shown that Landau condition and the positiveness of the Feynman parameter is not sufficient for the part of Landau curve to be the nearest real singularity. The additional condition is the generalized Karplus, Sommerfield and Wichmann condition, originally found in the 3-point function.

The consequences of this additional condition is discussed and related to Blanken-beckler-Nambu conjecture. The discussion is also applicable to an arbitrary Feynman diagram.



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