Geodesic
Gauge and scale transformations in~the theory of~a~Fermi liquid
Teoretičeskaâ i matematičeskaâ fizika, Tome 42 (1980) no. 1, pp. 71-78

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Differential relationships have been obtained connecting the one-particle Green function and its derivatives with respect to $\varepsilon$, $p^2$, $\mu$, $m$ and the coupling constant with the scattering amplitude. Unlike the Dyson equation these relationships do not involve bare interaction and are closed on the Fermi surface. The relation between the ground state energy and the scattering amplitude has been also determined. 
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     author = {A. M. Dyugaev},
     title = {Gauge and scale transformations in~the theory {of~a~Fermi} liquid},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {71--78},
     publisher = {mathdoc},
     volume = {42},
     number = {1},
     year = {1980},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1980_42_1_a7/}
}
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A. M. Dyugaev. Gauge and scale transformations in~the theory of~a~Fermi liquid. Teoretičeskaâ i matematičeskaâ fizika, Tome 42 (1980) no. 1, pp. 71-78. http://geodesic.mathdoc.fr/item/TMF_1980_42_1_a7/