Geodesic
Analytic continuation of temperature-dependent diagrams and unitarity conditions at finite temperatures
Teoretičeskaâ i matematičeskaâ fizika, Tome 4 (1970) no. 1, pp. 86-100

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

A study is made of the analytic properties of the quantities defined in the temperature-dependent diagram technique and their analytic continuation from the region of discrete imaginary frequencies to the real axis. Two examples – the kinetic equation for a Fermi system and the equation for the self-energy part of the Green's function – are used to illustrate the analytic continuation of equations. The unitarity conditions for various verbs parts at finite temperatures are then discussed. It is shown that these conditions differ from the unitarity conditions at $T=0$ only by the form of the statistical weight of the intermediate states; this weight has the form of standard combinations of Fermi or Bose distribution function. 
@article{TMF_1970_4_1_a10,
     author = {S. V. Maleev},
     title = {Analytic continuation of temperature-dependent diagrams and unitarity conditions at finite temperatures},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {86--100},
     publisher = {mathdoc},
     volume = {4},
     number = {1},
     year = {1970},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1970_4_1_a10/}
}
TY  - JOUR
AU  - S. V. Maleev
TI  - Analytic continuation of temperature-dependent diagrams and unitarity conditions at finite temperatures
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1970
SP  - 86
EP  - 100
VL  - 4
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_1970_4_1_a10/
LA  - ru
ID  - TMF_1970_4_1_a10
ER  - 
%0 Journal Article
%A S. V. Maleev
%T Analytic continuation of temperature-dependent diagrams and unitarity conditions at finite temperatures
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1970
%P 86-100
%V 4
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_1970_4_1_a10/
%G ru
%F TMF_1970_4_1_a10
S. V. Maleev. Analytic continuation of temperature-dependent diagrams and unitarity conditions at finite temperatures. Teoretičeskaâ i matematičeskaâ fizika, Tome 4 (1970) no. 1, pp. 86-100. http://geodesic.mathdoc.fr/item/TMF_1970_4_1_a10/