Summary
The transformation properties of Green’s functions in quantum electrodynamics are derived by functional analysis. Also, the generalized Ward identities and branching equations are obtained from differential equations for the generating functional.
Riassunto
Si derivano con l’analisi funzionale le proprietà di trasformazione delle funzioni di Green nell’elettrodinamica quantistica. Anche le identità generalizzate di Ward e le equazioni di branching vengono ottenute dalle equazioni differenziali per il funzionale generatore.
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References
S. Okubo:Nuovo Cimento,15, 949 (1960).
E. R. Caianiello:Nuovo Cimento,13, 640 (1959).
The functional analysis was also used byB. Zumino «Journ. Math. Phys.,1, 1 (1960) » to study the problems of gauge invariance. However, his approach is different from ours.
N. N. Bogoljubov andD. V. Shirkov:Introduction to the Theory of Quantized Fields (New York, 1959), p. 421.
Y. Takahashi:Nuovo Cimento,6, 371 (1957).
Eqs. (20)–(25) of the reference (2).
K. Symanzik:Zeits. f. Naturf.,9 a, 809 (1954).
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Bialynicki-Birula, I. On the gauge properties of Green’s functions. Nuovo Cim 17, 951–955 (1960). https://doi.org/10.1007/BF02732140
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DOI: https://doi.org/10.1007/BF02732140