SQED 4 and QED 4 on the Null-Plane
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| Natura: | Artículo científico |
| Lingua: | en |
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Sociedade Brasileira de Física
2014
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| _version_ | 1876431880973189120 |
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| author | R. Casana |
| author_facet | R. Casana |
| contents | SQED 4 and QED 4 on the Null-Plane R. Casana B. M. Pimentel G. E. R. Zambrano Física, Astronomía y Matemáticas Null plane gauge Dirac brackets plane coordinates Constraint analysis We study the scalar electrodynamics ( SQED 4 ) and the spinor electrodynamics ( QED 4 ) in the null-plane formalism. We follow Dirac’s technique for constrained systems to analyze the constraint structure in both theories in detail. We impose the appropriate boundary conditions on the fields to fix the hidden subset first class constraints that generate improper gauge transformations and obtain a unique inverse of the second-class constraint matrix. Finally, choosing the null-plane gauge condition, we deter- mine the generalized Dirac brackets of the independent dynamical variables, which via the correspondence princi- ple give the (anti)-commutators for posterior quantization. 2014 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46431147013 en http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.4 Vol.44 |
| format | Artículo científico |
| id | redalyc_46431147013 |
| institution | Redalyc |
| language | en |
| publishDate | 2014 |
| publisher | Sociedade Brasileira de Física |
| spellingShingle | SQED 4 and QED 4 on the Null-Plane R. Casana Física, Astronomía y Matemáticas Null plane gauge Dirac brackets plane coordinates Constraint analysis SQED 4 and QED 4 on the Null-Plane R. Casana B. M. Pimentel G. E. R. Zambrano Física, Astronomía y Matemáticas Null plane gauge Dirac brackets plane coordinates Constraint analysis We study the scalar electrodynamics ( SQED 4 ) and the spinor electrodynamics ( QED 4 ) in the null-plane formalism. We follow Dirac’s technique for constrained systems to analyze the constraint structure in both theories in detail. We impose the appropriate boundary conditions on the fields to fix the hidden subset first class constraints that generate improper gauge transformations and obtain a unique inverse of the second-class constraint matrix. Finally, choosing the null-plane gauge condition, we deter- mine the generalized Dirac brackets of the independent dynamical variables, which via the correspondence princi- ple give the (anti)-commutators for posterior quantization. 2014 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46431147013 en http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.4 Vol.44 |
| title | SQED 4 and QED 4 on the Null-Plane |
| topic | Física, Astronomía y Matemáticas Null plane gauge Dirac brackets plane coordinates Constraint analysis |
| url | https://www.redalyc.org/articulo.oa?id=46431147013 |