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Prog. Theor. Phys. Vol. 46 No. 4 (1971) pp. 1278-1289
Quantum Field Theory of Complex Mass. II
Hiroshi Yamamoto and
Kiyoshi Kudo
Department of Applied Physics, Fukui University, Fukui
(Received March 3, 1971)
Abstract:
The main purpose of this paper is to further clarify some unsatisfactory points in our previous paper. First a new conjugation is introduced. The conjugation exists in the case of complex mass and is similar to the hermitian conjugation. Connections between these two conjugations are clarified. The transformation properties of some operators under these conjugations are studied. It is seen that the Hamiltonian is not hermitian in the whole Hilbert space. Our S-matrix is proved to be probabilistically interpretable. Lastly the present theory is compared with that of Lee and Wick.
URL :
http://ptp.ipap.jp/link?PTP/46/1278/
DOI : 10.1143/PTP.46.1278
References:
- H. Yamamoto, Prog. Theor. Phys. 44 (1970), 272[PTP].
- P. A. M. Dirac, The Principles of Quantum Mechanics, third edition (Oxford at the Clarendon Press, 1947).
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T. D. Lee and G. C. Wick, Phys. Rev. D 2 (1970), 1033[APS].
- N. Nakanishi, private communication.
K. L. Nagy, ITP-Budapest Rep. No. 261 (1969); ibid. No. 267 (1969).
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T. D. Lee and G. C. Wick, Nucl. Phys. B 9 (1969), 209[CrossRef];
ibid. 10 (1969), 1[CrossRef].
- H. Yamamoto, Prog. Theor. Phys. 42 (1969), 707[PTP]; ibid. 43 (1970), 520[PTP].
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R. E. Cutkosky, P. V. Landshoff, D. I. Olive and J. C. Polkinghorne, Nucl. Phys. B 12 (1969), 281[CrossRef].
Citing Article(s) :
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Progress of Theoretical Physics Vol. 53 No. 1 (1975) pp. 275-282
:
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A Vacuum with Double Structure
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Hiroshi Yamamoto and Kiyoshi Kudo
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Progress of Theoretical Physics Vol. 55 No. 6 (1976) pp. 1998-2006
:
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Observability of Complex Ghosts and Tachyons
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Hiroshi Yamamoto
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Progress of Theoretical Physics Supplement No.51 (1972) pp. 1-95
:
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Indefinite-Metric Quantum Field Theory
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Noboru Nakanishi
