Literature Cited
C. De Dominicis, J. Math. Phys.,3, 983 (1962).
C. De Dominicis and P. C. Martin, J. Math. Phys.,5, 16, 31 (1964).
G. Jona-Lasinio, Nuovo Cim., 34, 1790 (1964).
H. D. Dahmen and G. Jona-Lasinio, Nuovo Cim.,52A, 807 (1967).
J. Schwinger, Proc. Nat. Acad. Sci.,37, 452 (1951).
R. Johnson, J. Math. Phys.,12, 311 (1970).
K. Symanzik, Commun. Math. Phys.,16, 48 (1970).
J. Luttinger and J. Ward, Phys. Rev.,118, 1417 (1960).
N. N. Bogolyubov and D. V. Shirkov, Introduction to the Theory of Quantized Fields, Interscience (1959).
R. P. Feynman, Rev. Mod. Phys.,20, 376 (1947).
Additional information
A. A. Zhdanov Leningrad State University. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 12, No. 3, pp. 352–369, September, 1972.
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Vasil'ev, A.N., Kazanskii, A.K. Legendre transforms of the generating functionals in quantum field theory. Theor Math Phys 12, 875–887 (1972). https://doi.org/10.1007/BF01035606
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DOI: https://doi.org/10.1007/BF01035606