Prog. Theor. Phys. Vol. 17 No. 1 (1957) pp. 7-18
The Functional Integrals in Quantum Theory
Department of Physics, Osaka University, Osaka
(Received August 17, 1956)
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.
DOI : 10.1143/PTP.17.7
- 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.
R. P. Feynman, Rev. Mod. Phys. 20 (1948), 367[APS];
Phys. Rev. 80 (1950), 440[APS].
M. Gell-Mann and F. Low, Phys. Rev. 84 (1951), 350[APS].
- B. Davison, Proc. R. Soc. A 225 (1954), 252.
Citing Article(s) :
Progress of Theoretical Physics Vol. 83 No. 2 (1990) pp. 305-317
The Large Time Limit of the Evolution Kernel
Hitoshi Higurashi and Reijiro Fukuda
Progress of Theoretical Physics Supplement No.121 (1995) pp. 1-428
Novel Use of Legendre Transformation in Field Theory and Many Particle Systems
Reijiro Fukuda, Masahiro Komachiya, Satoshi Yokojima, Yoko Suzuki, Ko Okumura and Takeshi Inagaki