Volume 245, Number 2 (1996): P. Zhuang and U. Heinz, “Relativistic Quantum Transport Theory for Electrodynamics,” pp. 311–338
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 77 KB
- Volume
- 249
- Category
- Article
- ISSN
- 0003-4916
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✦ Synopsis
Volume 245, Number 2 (1996)
, in the article ``Relativistic Quantum Transport Theory for Electrodynamics,'' by P. Zhuang and U. Heinz, pages 311 338: The quantum constraints to the spinor components of the equal-time Wigner function given in Eqs. ( 95) are incorrect. The combination of Eqs. ( 78), (79), and (93) made in Section 3.4 unfortunately contained a mathematical error which led to the existence of Eqs. (95). A careful calculation [1] shows that Eqs. ( 93) are not independent of Eqs. ( 78) and ( 79), and that the l.h.s. of Eqs. ( 95) should vanish identically. Therefore no further quantum constraints to the equal-time Wigner function arise. The equal-time spinor components are controlled by the BGR [2] transport equations ( 78), and the first-order energy moments are determined by the constraint equations ( 79). The authors are grateful to A. Abada and M. Birse for discovering and pointing out this error.
The remaining principal results in the paper the idea of obtaining the equaltime transport theory from the energy average of the corresponding covariant theory and its applications to scalar QED and spinor QED before Section 3.4 are unaffected by the error mentioned above.
The claim that the BGR transport equations [2] are not complete also remains true. A complete equal-time theory which contains the same amount of information as the covariant theory should involve the description of all the higher-order energy moments. This will be discussed in a forthcoming publication [3].
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