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Prog. Theor. Phys. Vol. 44 No. 5 (1970) pp. 1376-1382

Propagators of High-Spin Particles with Self-Energy Parts

Yōichi Iwasaki

Research Institute for Fundamental Physics, Kyoto University, Kyoto

(Received June 5, 1970)

Abstract:

We have shown that a kind of unitarity imposes a condition on the propagators of high-spin particles. The usual propagators do not satisfy this condition, while those which have been introduced in connection with the O(4) symmetry satisfy it. The dressed propagators have poles even at lower partial waves. This fact means that a high-spin particle cannot exist by itself, but it must be accompanied by lower-spin particles. The existence of the latter may correspond to the abnormal solutions of the B-S equation. Also a difficulty of the scalar-tensor theory of the graviton is pointed out.

URL : http://ptp.ipap.jp/link?PTP/44/1376/
DOI : 10.1143/PTP.44.1376

[ Full Text PDF : FREE ACCESS (395K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

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References:

1. Y. Iwasaki, Phys. Rev. 173 (1968), 1608[APS].
2. Y. Iwasaki, “Consistency Condition for Propagators”, to be published in Phys. Rev.
3. See, e.g. H. Umezawa, Quantum Field Theory (North-Holland Publishing Co., Amsterdam, 1956).
   Y. Takahashi, An Introduction to Field Quantization (Pergamon Press Ltd., 1969).
4. K. Johnson and E. C. G. Sudarshan, Ann. of Phys. 13 (1961), 126[CrossRef].
   L. M. Nath, Nucl. Phys. 68 (1965), 660[CrossRef].
5. See footnote 9) of reference 1).
6. D. Z. Freedman and J. M. Wang, Phys. Rev. 160 (1967), 1560[APS].
7. See, e.g. N. Nakanishi, Prog. Theor. Phys. Suppl. No. 43 (1969).
8. C. Brands and R. H. Dicke, Phys. Rev. 124 (1961), 925[APS].
   W. Thirring, Acta Phys. Austrarica, Suppl. 5 (1968), 391.
   R. H. Sexl, Forts. Phys. 15 (1967), 269.

Citing Article(s) :

1. Progress of Theoretical Physics Vol. 46 No. 5 (1971) pp. 1587-1609 :

   Quantum Theory of Gravitation vs. Classical Theory

   Yoichi Iwasaki

2. Progress of Theoretical Physics Vol. 52 No. 1 (1974) pp. 275-289 :

   An Analytic Continuation of Propagators in a Particle-Exchange Model

   Masanori Kobayashi and Yukio Mori

3. Progress of Theoretical Physics Vol. 55 No. 3 (1976) pp. 937-938 :

   Comments on the Symmetric and Traceless Tensor Fields in the Singh-Hagen Lagrangian

   Masanori Kobayashi and Yukio Mori

4. Progress of Theoretical Physics Vol. 55 No. 4 (1976) pp. 1259-1275 :

   Canonical Quantization of Massless Tensor Field in General Covariant Gauge

   Toshiei Kimura

5. Progress of Theoretical Physics Vol. 60 No. 3 (1978) pp. 857-867 :

   A Unified Lagrangian Formulation for Massive and Massless Tensor Fields

   R. Laura and O. Zandron

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