Geodesic
Equivalence of Many-Photon Green's Functions in the Duffin--Kemmer--Petiau and Klein--Gordon--Fock Statistical Quantum Field Theories
Teoretičeskaâ i matematičeskaâ fizika, Tome 140 (2004) no. 1, pp. 44-52

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Using the functional integral formalism for the statistical generating functional in the statistical (finite temperature) quantum field theory, we prove the equivalence of many-photon Green's functions in the Duffin–Kemmer–Petiau and Klein–Gordon–Fock statistical quantum field theories. As an illustration, we calculate the one-loop polarization operators in both theories and demonstrate their coincidence.
Keywords: statistical field theory, photon Green's functions, path integral, renormalization, equivalency. 
@article{TMF_2004_140_1_a3,
     author = {J. S. Valverde and B. M. Pimentel and V. Ya. Fainberg},
     title = {Equivalence of {Many-Photon} {Green's} {Functions} in the {Duffin--Kemmer--Petiau} and {Klein--Gordon--Fock} {Statistical} {Quantum} {Field} {Theories}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {44--52},
     publisher = {mathdoc},
     volume = {140},
     number = {1},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2004_140_1_a3/}
}
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J. S. Valverde; B. M. Pimentel; V. Ya. Fainberg. Equivalence of Many-Photon Green's Functions in the Duffin--Kemmer--Petiau and Klein--Gordon--Fock Statistical Quantum Field Theories. Teoretičeskaâ i matematičeskaâ fizika, Tome 140 (2004) no. 1, pp. 44-52. http://geodesic.mathdoc.fr/item/TMF_2004_140_1_a3/