Prog. Theor. Phys. Vol. 46 No. 1 (1971) pp. 256-281
A New Method of Quantization for Various Fields. I
— General Formulation
Department of Physics, Tokyo Unviersity of Education, Tokyo
(Received October 29, 1970)
A method of quantization which is applicable to finite and infinite component fields with arbitrary mass spectra, is proposed. It is based on analyticity of the propagators, and has no recourse to the canonical formalism. Causality and the relativistic covariance are manifest from the outset. It appears that, according to our method, a local field theory is possible by starting not with Lagrangians but with analytic propagators. Various properties related to complex poles of the propagators are briefly discussed.
DOI : 10.1143/PTP.46.256
- Y. Nambu, Prog. Theor. Phys. Suppl. Nos. 37 & 38 (1966), 368[PTP];
Phys. Rev. 160 (1967), 1171[APS].
A. O. Barut and H. Kleinert, Phys. Rev. 156 (1967), 1546[APS];
ibid. 157 (1967), 1180[APS];
ibid. 160 (1967), 1149[APS];
ibid. 161 (1967), 1464[APS].
H. Kleinert, Forts. Phys. 16 (1968), 1.
- R. Casalbuoni, R. Gatto and G. Longhi, Lett. Nuovo Cim. 2 (1969), 159; ibid. 2 (1969), 166.
A. Pais and G. E. Uhlenbeck, Phys. Rev. 79 (1950), 145[APS].
- H. Umezawa, Quantum Field Theory (North-Holland Publising Company, 1956).
Y. Takahashi, An Introduction to Field Quantization (Pergamon Press, 1969).
- S. Tanaka, Prog. Theor. Phys. 24 (1960), 171[PTP]; ibid. 29 (1963), 104[PTP].
G. Feinberg, Phys. Rev. 159 (1967), 1089[APS].
M. E. Arons and E. C. G. Sudarshan, Phys. Rev. 173 (1968), 1622[APS].
J. Dhar and E. C. G. Sudarshan, Phys. Rev. 174 (1968), 1808[APS].
K. Kamoi and S. Kamefuchi, Prog. Theor. Phys. 45 (1971), 1646[PTP].
Citing Article(s) :
Progress of Theoretical Physics Vol. 46 No. 6 (1971) pp. 1849-1863
Physical States, Spurious States and Projection Operator in the Dual Resonance Model
Masakatsu Kenmoku and Mitsuru Yamada