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.
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/
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[1] J. Matzubara, Progr. Theor. Phys., 9 (1953), 550 | DOI

[2] E. S. Fradkin, DAN SSSR, 98 (1954), 47 ; 100 (1955), 897 | MR | Zbl | MR | Zbl

[3] E. S. Fradkin, Tr. FIAN, 29, 1965, 3

[4] J. I. Kapusta, Finite Temperature Field Theory, Cambridge Univ. Press, Cambridge, 1989 | MR | Zbl

[5] M. Le Bellac, Thermal Field Theory, Cambridge Univ. Press, Cambridge, 2000 | MR

[6] R. Casana, V. Ya. Fainberg, B. M. Pimentel, J. S. Valverde, Phys. Lett. A, 316 (2003), 33 | DOI | MR | Zbl

[7] C. W. Bernard, Phys. Rev. D, 9 (1974), 3312 | DOI

[8] B. M. Pimentel, V. Ya. Fainberg, TMF, 124 (2000), 445 | DOI | MR | Zbl

[9] V. Ya. Fainberg, B. M. Pimentel, Braz. J. Phys., 30 (2000), 275 | DOI

[10] V. Ya. Fainberg, B. M. Pimentel, Phys. Lett. A, 271 (2000), 16 | DOI | MR | Zbl

[11] V. Ya. Fainberg, B. M. Pimentel, J. S. Valverde, “Dispersion method in DKP theory”, Quantization, Gauge Theories and Strings, Proc. of the Intern. Meeting, dedicated to the memory of E. S. Fradkin. V. II (Moscow, June 5–10, 2000), eds. A. Semikhatov, M. Vasiliev, V. Zaikin, Scientific World, Singapore, 2001, 79 | MR

[12] H. J. Rothe, Lattice Gauge Theories: An Introduction, World Scientific, Singapure, 1996 | MR