Symmetric energymomentum tensor in Maxwell, YangMills, and Proca theories obtained using only Noether's theorem
Abstract
The symmetric and gaugeinvariant energymomentum tensors for sourcefree Maxwell and YangMills theories are obtained by means of translations in spacetime via a systematic implementation of Noether's theorem. For the sourcefree neutral Proca field, the same procedure yields also the symmetric energymomentum tensor. In all cases, the key point to get the right expressions for the energymomentum 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.
 Publication:

Revista Mexicana de Fisica
 Pub Date:
 February 2006
 DOI:
 10.48550/arXiv.hepth/0602190
 arXiv:
 arXiv:hepth/0602190
 Bibcode:
 2006RMxF...52...29M
 Keywords:

 High Energy Physics  Theory;
 General Relativity and Quantum Cosmology;
 Mathematical Physics;
 Physics  Classical Physics
 EPrint:
 LaTeX file, 7 pages, no figures