Geodesic
On the description of quasiparticles by Green's functions
Teoretičeskaâ i matematičeskaâ fizika, Tome 17 (1973) no. 3, pp. 422-428

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A description of statistical systems based on one-particle Green's functions is proposed. A propagator formalism is constructed without the use of field operators on the basis of some axioms for the Green's functions. These axioms are used to derive a Principle of minimality for the mean energy. The mass operator, which takes into account all manyparticle interactions, is given by a closed system of equations, in which the effective unrenormalized interaction plays a fundamental role. The unrenormalized interaction is determined either experimentally or from the variational principle. 
@article{TMF_1973_17_3_a9,
     author = {V. I. Yukalov},
     title = {On the description of quasiparticles by {Green's} functions},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {422--428},
     publisher = {mathdoc},
     volume = {17},
     number = {3},
     year = {1973},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1973_17_3_a9/}
}
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V. I. Yukalov. On the description of quasiparticles by Green's functions. Teoretičeskaâ i matematičeskaâ fizika, Tome 17 (1973) no. 3, pp. 422-428. http://geodesic.mathdoc.fr/item/TMF_1973_17_3_a9/