Prog. Theor. Phys. Vol. 46 No. 4 (1971) pp. 1278-1289
Quantum Field Theory of Complex Mass. II
Department of Applied Physics, Fukui University, Fukui
(Received March 3, 1971)
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.
DOI : 10.1143/PTP.46.1278
- 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).
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).
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].
R. E. Cutkosky, P. V. Landshoff, D. I. Olive and J. C. Polkinghorne, Nucl. Phys. B 12 (1969), 281[CrossRef].
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