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Prog. Theor. Phys. Vol. 17 No. 1 (1957) pp. 7-18
The Functional Integrals in Quantum Theory
Takeshi Kanki,
Koichi Murata and
Sigenobu Sunakawa
Department of Physics, Osaka University, Osaka
(Received August 17, 1956)
Abstract:
Matthews and Salam expressed the propagator of the interacting fields as a functional integral by using the Feynman principle of the “sum over histories”. However, when we are concerned with the boundary condition of the propagator and the definition of the functional integrals, their treatment seems to us somewhat unsatisfactory. In this paper, we discuss the reason why they got the correct results in spite of the existing defects.
URL :
http://ptp.ipap.jp/link?PTP/17/7/
DOI : 10.1143/PTP.17.7
References:
- S. F. Edwards and R. E. peierls, Proc. R. Soc. A 224 (1954), 24.
- J. Schwinger, Proc. N. A. S. 37 (1951), 452; ibid. 37 (1951), 455.
R. Utiyama, S. Sunakawa and T. Imamura, Prog. Theor. Phys. 8 (1952), 77[PTP].
- P. T. Matthews and A. Salam, Nuovo Cim. 2 (1955), 120.
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R. P. Feynman, Rev. Mod. Phys. 20 (1948), 367[APS];
Phys. Rev. 80 (1950), 440[APS].
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M. Gell-Mann and F. Low, Phys. Rev. 84 (1951), 350[APS].
- B. Davison, Proc. R. Soc. A 225 (1954), 252.
Citing Article(s) :
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Progress of Theoretical Physics Vol. 83 No. 2 (1990) pp. 305-317
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The Large Time Limit of the Evolution Kernel
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Hitoshi Higurashi and Reijiro Fukuda
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Progress of Theoretical Physics Supplement No.121 (1995) pp. 1-428
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Novel Use of Legendre Transformation in Field Theory and Many Particle Systems
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Reijiro Fukuda, Masahiro Komachiya, Satoshi Yokojima, Yoko Suzuki, Ko Okumura and Takeshi Inagaki
