2019
DOI: 10.1201/9780203755396
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Functional Methods in Quantum Field Theory and Statistical Physics

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Cited by 51 publications
(129 citation statements)
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“…From this equation of motion, eq. (6.136) in [5] is derived, similar to our (32) with the difference that Vasiliev expands in terms of unperturbed cumulants and not full vertices. Probably, both equations are suitable starting points to rederive our results in Section 2.4.…”
Section: Discussionsupporting
confidence: 79%
See 1 more Smart Citation
“…From this equation of motion, eq. (6.136) in [5] is derived, similar to our (32) with the difference that Vasiliev expands in terms of unperturbed cumulants and not full vertices. Probably, both equations are suitable starting points to rederive our results in Section 2.4.…”
Section: Discussionsupporting
confidence: 79%
“…The equation of motion can be derived from the invariance of the integral measure with respect to translations [5, sec. 1.8.3], but also extends to problems on discrete state spaces, such as the Ising model [5,21,22,32]. From this equation of motion, eq.…”
Section: Discussionmentioning
confidence: 99%
“…These are features specific to the MSRDJ formalism that deserve some comments. Second, to illustrate that the Feynman diagrams (sometimes referred to as Mayer graphs [77,90]) in the one-loop approximation are essentially the same as those that appear in the less standard functional renormalization group method. Third, the loop expansion gives us the leading order fluctuation corrections beyond tree level, Γ = −S.…”
Section: H Loop Expansionmentioning
confidence: 99%
“…F is formally given by a fourth functional derivative of the effective action, which can in turn be obtained as the Legendre-transform of the logarithm of the partition function. 6,8 It is possible to show, that diagrams contributing to F can be uniquely classified according to the parquet equation (PE) 7,9,42…”
Section: A Recapitulation Of the Parquet Methodsmentioning
confidence: 99%