Geodesic
Gauge and scale transformations in the theory of a Fermi liquid
Teoretičeskaâ i matematičeskaâ fizika, Tome 42 (1980) no. 1, pp. 71-78 
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/
@article{TMF_1980_42_1_a7,
     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},
     year = {1980},
     volume = {42},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1980_42_1_a7/}
}
TY  - JOUR
AU  - A. M. Dyugaev
TI  - Gauge and scale transformations in the theory of a Fermi liquid
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1980
SP  - 71
EP  - 78
VL  - 42
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_1980_42_1_a7/
LA  - ru
ID  - TMF_1980_42_1_a7
ER  - 
%0 Journal Article
%A A. M. Dyugaev
%T Gauge and scale transformations in the theory of a Fermi liquid
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1980
%P 71-78
%V 42
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1980_42_1_a7/
%G ru
%F TMF_1980_42_1_a7

Voir la notice de l'article provenant de la source Math-Net.Ru

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.

[1] L. P. Pitaevskii, ZhETF, 37 (1959), 1794 | Zbl

[2] A. B. Migdal, ZhETF, 63 (1972), 1993

[3] A. M. Dyugaev, ZhETF, 70 (1976), 2390

[4] A. B. Migdal, Teoriya konechnykh fermi-sistem i svoistva atomnykh yader, «Nauka», 1965

[5] L. D. Landau, ZhETF, 35 (1958), 97

[6] V. A. Khodel, YaF, 14 (1971), 961

[7] I. M. Luttinger, I. C. Ward, Phys. Rev., 118 (1960), 1417 | DOI | MR | Zbl