Summary
We consider a Lee model with only one boson field oscillator. The Heisenberg equations turn out to be linear, and the problem is soluble in all sectors. The spectrum is entirely and essentially discrete, and the physically interesting questions relate not to scattering but to straightforward energy measurements. In particular all the consequences of introducing an indefinite metric can be traced out explicitly; it appears that no consistent physical interpretation can be given.
Riassunto
Consideriamo un modello di Lee con un solo oscillatore del campo bosonico. Le equazioni di Heisenberg risultano lineari e il problema è solubile in tutti i settori. Lo spettro è interamente ed essenzialmente discreto, e le questioni di interesse fisico non si riferiscono allo scattering ma alle misure dirette dell’energia. In particolare si possono esplicitamente individuare tutte le conseguenze della introduzione di una metrica indefinita; risulta che non si può dare nessuna coerente interpretazione fisica.
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References
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We relegate to Appendix B the special case in which one sector is actually degenerate,i.e., n c is an integer. This would be analogous to the dipole ghost problem (3).
L. K. Pandit:Suppl. Nuovo Cimento,11, 157 (1959).
W. Pauli: inProceedings of the 1958 Annual International Conference on High-Energy Physics at CERN (CERN, Geneva, 1958).
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Barton, G. Lee model with single boson oscillator. Nuovo Cim 17, 864–875 (1960). https://doi.org/10.1007/BF02732129
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DOI: https://doi.org/10.1007/BF02732129