General Theory of Broken Local Symmetries

نویسنده

  • Steven Weinberg
چکیده

(Interscience, New York, 1962), Vol. IV, p. 324. See, for example, R. P. Feynman and M. Gell-Mann, Phys. Rev, 109, 193 (1958). 4L. C. Biedenharn and M. Y. Han, Phys. Letters 36B, 475 (1971);L. C. Biedenharn, M. Y. Han, and H. van Dam, Phys. Rev. Letters 27, 1167 (1971);Lett. Nuovo Cimento 2, 730 (1971). 5L. C. Biedenharn, M. Y. Han, and H. van Dam, Phys. Rev. D 6, 500 (1972). E. Wigner, Ann. Math. 40, 39 (1939). 'Iu. M. Shirokov, Zh. Eksp. Teor. Fiz. 33, 861 (1957) [Sov. Phys. JETP 6, 664 (1958)];33, 1196 (1957) [6, 919 (1958)];33, 1208 (1957) [6, 929 (1958)]. See, for example, S. Weinberg, Phys, Rev. 134, B882 (1964). ~S. Sakata and M. Taketani, Proc. Phys. Soc. (Japan) 22, 757 (1940). H. Feshbach and F. Villars, Rev. Mod. Phys. 30, 24 (1958). See also A. S. Davydov, Quantum Mechanics, translated by D. Ter Haar (Addison-Wesley, Reading, Mass. , 1965), Chap. VIII. ~~E. Guth, Ann. Phys. (N. Y.) 20, 309 (1962). Several other authors have also pointed out that the two-component BHV equations are not Poincare-invariant: H. Grotch and E. Kazes, Phys. Rev. D 5, 3277 (1972); M. Flato, G. Lindblad, and B. Nagel, Physica Scripta 5, 153 (1972); R. Acharya and R. Madan, report, 1972 (unpublished). '3L. L. Foldy, Phys. Rev. 102, 568 (1956). P. A. M. Dirac, Proc. Roy. Soc. (London) A328, 1 (1972). E. Schrodinger, Sitzber. Preuss. Akad. Wiss. Physik Math. 24, 418 (1930). Iu. M. Shirokov, Zh. Eksp. Teor. Fiz. 34, 717 (1958) [Sov. Phys. JETP 7, 493 (1958)]. ~'Reference 5, p. 512. 8Reference 5, Eq. (93). ~~This has been emphasized by R. H. Good, Phys. Rev. D 5, 1538 (1972). 2+Reference 5, p. 517. 2~Reference 5, p. 510, p. 511, and remarks following Eq. (136). Reference 5, Eq. (123). 3L. L. Foldy and S. A. Wouthuysen, Phys. Rev. 78, 29 (1950); S. Tani, Progr. Theoret. Phys. (Japan) 6, 267 (1951);R. Becker, Nachr. Akad. Wiss. G'ottingen, Math. Physik, Kl. 1, 20 (1945). 24In the terminology of Good (Ref. 19) and also BHV (Refs. 4 and 5), the potentials Ag(x, t) are such that one has an "even environment" with respect to 6'e„& . Compare our Eqs. (5.9) and (5.11) to Eq. (54') of Ref. 5. 26Again we adopt the terminology of Good and BHV, as in Ref. 24. In this particular case, the potentials

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تاریخ انتشار 2011