Symmetric energy-momentum tensor in Maxwell, Yang-Mills, and Proca theories obtained using only Noether´s theorem
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| Format: | Artículo científico |
| Language: | en |
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Sociedad Mexicana de Física A.C.
2006
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| author | Merced Montesinos |
| author_facet | Merced Montesinos |
| contents | Symmetric energy-momentum tensor in Maxwell, Yang-Mills, and Proca theories obtained using only Noether´s theorem Merced Montesinos Ernesto Flores Física, Astronomía y Matemáticas Energy momentum tensor Noether's theorem gauge field theory The symmetric and gauge-invariant energy-momentum tensors for source-free Maxwell and Yang-Mills theories are obtained by means of translations in spacetime via a systematic implementation of Noether's theorem. For the source-free neutral Proca field, the same procedure yields also the symmetric energy-momentum tensor. In all cases, the key point to get the right expressions for the energy-momentum tensors is the appropriate handling of their equations of motion and the Bianchi identities. It must be stressed that these results are obtained without using Belinfante's symmetrization techniques which are usually employed to this end. 2006 artículo científico 0035-001X https://www.redalyc.org/articulo.oa?id=57021679005 en http://www.redalyc.org/revista.oa?id=570 Revista Mexicana de Física application/pdf Sociedad Mexicana de Física A.C. Revista Mexicana de Física (México) Num.1 Vol.52 |
| format | Artículo científico |
| id | redalyc_57021679005 |
| institution | Redalyc |
| language | en |
| publishDate | 2006 |
| publisher | Sociedad Mexicana de Física A.C. |
| spellingShingle | Symmetric energy-momentum tensor in Maxwell, Yang-Mills, and Proca theories obtained using only Noether´s theorem Merced Montesinos Física, Astronomía y Matemáticas Energy momentum tensor Noether's theorem gauge field theory Symmetric energy-momentum tensor in Maxwell, Yang-Mills, and Proca theories obtained using only Noether´s theorem Merced Montesinos Ernesto Flores Física, Astronomía y Matemáticas Energy momentum tensor Noether's theorem gauge field theory The symmetric and gauge-invariant energy-momentum tensors for source-free Maxwell and Yang-Mills theories are obtained by means of translations in spacetime via a systematic implementation of Noether's theorem. For the source-free neutral Proca field, the same procedure yields also the symmetric energy-momentum tensor. In all cases, the key point to get the right expressions for the energy-momentum tensors is the appropriate handling of their equations of motion and the Bianchi identities. It must be stressed that these results are obtained without using Belinfante's symmetrization techniques which are usually employed to this end. 2006 artículo científico 0035-001X https://www.redalyc.org/articulo.oa?id=57021679005 en http://www.redalyc.org/revista.oa?id=570 Revista Mexicana de Física application/pdf Sociedad Mexicana de Física A.C. Revista Mexicana de Física (México) Num.1 Vol.52 |
| title | Symmetric energy-momentum tensor in Maxwell, Yang-Mills, and Proca theories obtained using only Noether´s theorem |
| topic | Física, Astronomía y Matemáticas Energy momentum tensor Noether's theorem gauge field theory |
| url | https://www.redalyc.org/articulo.oa?id=57021679005 |