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- W2015041385 abstract "We have investigated the higher loop diagrams of the fourth Legendre transformation which was proposed to obtain the 4PI effective action for the scalar field theory previously. For this purpose, we introduce a method which enables us to obtain the systematic loop expansion of the fourth Legendre transformation from the loop expansion of the second Legendre transformation which gives 2PI effective action. As a result, we have seen that at four-loop order, the 3PR diagrams of the 2PI effective action vanishes completely as expected but at five-loop order, the 4PR diagram of the 2PI effective action does not vanish completely." @default.
- W2015041385 created "2016-06-24" @default.
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- W2015041385 date "2005-10-10" @default.
- W2015041385 modified "2023-10-02" @default.
- W2015041385 title "Can we obtain the four-particle-irreducible effective action from the fourth Legendre transformation?" @default.
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- W2015041385 doi "https://doi.org/10.1103/physrevd.72.085007" @default.
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