An investigation is made of the consequences of combining light-cone current algebra with the Melosh transformation as applied to nucleonic matrix elements of local currents and of the local limits of derivatives of bifocal currents. These lead to various sum-rule equalities and inequalities for the
Melosh transformation and light-cone current algebra: Anjan S. Joshipura and Probir Roy. Tata Institute of Fundamental Research, Bombay-5, India
- Publisher
- Elsevier Science
- Year
- 1977
- Tongue
- English
- Weight
- 50 KB
- Volume
- 104
- Category
- Article
- ISSN
- 0003-4916
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โฆ Synopsis
Sakata-Taketani spin-0 field. Six types of external field couplings are considered, two scalars, two vectors, an antisymmetric second-rank tensor, and a symmetric second-rank tensor, with the results specialized to electromagnetic interactions. For either of the two second-rank couplings, the equation is found to describe noncausal wave propagation, a property that is apparent from the dependence of the coefficients of the space derivatives on the external field; in contrast, the noncausality of the corresponding manifestly covariant Duffin-Kemmer-Petiau spin-0 equation is not so obvious. The possibilities for generalizing our results to higher spin theories involving only the essential 2(2J --I) components for a particle with a definite spin J and mass M are discussed in considerable detail.
Melosh
Transformation and Light-Cone Current Algebra.
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