Geodesic
Equivalence of Many-Gluon Green's Functions in the Duffin--Kemmer--Petieu and Klein--Gordon--Fock Statistical Quantum Field Theories
Teoretičeskaâ i matematičeskaâ fizika, Tome 143 (2005) no. 3, pp. 368-374

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We prove the equivalence of many-gluon Green's functions in the Duffin–Kemmer–Petieu and Klein–Gordon–Fock statistical quantum field theories. The proof is based on the functional integral formulation for the statistical generating functional in a finite-temperature quantum field theory. As an illustration, we calculate one-loop polarization operators in both theories and show that their expressions indeed coincide.
Keywords: statistical quantum field theory, gluon Green's functions, path integral, renormalization
Mots-clés : equivalence. 
@article{TMF_2005_143_3_a3,
     author = {B. M. Pimentel and V. Ya. Fainberg},
     title = {Equivalence of {Many-Gluon} {Green's} {Functions} in the {Duffin--Kemmer--Petieu} and {Klein--Gordon--Fock} {Statistical} {Quantum} {Field} {Theories}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {368--374},
     publisher = {mathdoc},
     volume = {143},
     number = {3},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2005_143_3_a3/}
}
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B. M. Pimentel; V. Ya. Fainberg. Equivalence of Many-Gluon Green's Functions in the Duffin--Kemmer--Petieu and Klein--Gordon--Fock Statistical Quantum Field Theories. Teoretičeskaâ i matematičeskaâ fizika, Tome 143 (2005) no. 3, pp. 368-374. http://geodesic.mathdoc.fr/item/TMF_2005_143_3_a3/