Summary
It has recently been claimed by Rechenberg and Sudarshan that theories with shadow states are consistent with macroscopic causality, even though they lack the normal physical-region analytic structure. This claim is based on a number of incorrect statements, which are here pointed out. These errors invalidate the claim.
Riassunto
Si è recentemente asserito da parte di Rechenberg e Sudarshan che le teorie con stati ombra sono compatibili con la causalità macroscopica, benchè manchino della normale struttura analitica della regione fisica. Questa asserzione è fondata su una quantità di affermazioni incorrette, che qui si puntualizzano. Questi errori inficiano la validità dell’asserzione.
Реэюме
Недавно Реченберг и Сударщан выскаэали утверждение, что теории с теневыми состояниями не согласуются с макроскопической причинностью, даже если они не имеют нормальной аналитической структуры в фиэической области. Это утверждение основывается на ряде некорректных формулировок, которые отмечаются в настояшей работе. Эти некорректные формулировки делают недействительным укаэанное утверждение.
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References
E. C. G. Sudarshan:Fields and Quanta 2, 175 (1971);C. A. Nelson andE. C. G. Sudarshan:Phys. Rev. D,6, 3658, 3678 (1972);A. M. Gleeson, R. J. Moore, H. Rechenberg andE. C. G. Sudarshan:Phys. Rev. D,4, 2242 (1971).
A detailed discussion of this point is given inH. P. Stapp:Macrocausality and its role in physical theories, Lawrence Berkeley Laboratory Report LBL-2031, May 1973. Also in conference onCausality and Physical Theories held at Wayne State University, Detroit, Mich., in May 1973. To be published inAmerican Institute of Physics Conference Proceedings.
H. Rechenberg andE. C. G. Sudarshan:Nuovo Cimento,14 A, 299 (1973).
D. Iagolnitzer andH. P. Stapp:Comm. Math. Phys.,14, 15 (1969).
T. D. Lee: inQuanta—Essays in Theoretical Physics Dedicated to Gregor Wentzel, edited byP. G. O. Freund, C. J. Goebel andY. Nambu (Chicago, Ill., 1970), p. 290.
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This work was supported by the U.S. Atomic Energy Commission.
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Stapp, H.P. Causality in indefinite metric theories. Nuov Cim A 23, 357–361 (1974). https://doi.org/10.1007/BF02739490
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DOI: https://doi.org/10.1007/BF02739490