Equivalence and s-equivalence of vector-tensor Lagrangians
It will be proven that if a gauge-invariant Lagrangian density having the local form L = L(gij;Ai;Aij) is such that its Euler-Lagrange equations Ei(L) = 0 have the same set of solutions as Ei(L0) = 0, where L0 = g1/2F ijFij, then L and cL0 are equivalent for same constant c, i.e., Ei(L) = Ei(cL0). F...
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1991
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_00222488_v32_n8_p2063_Lopez https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_00222488_v32_n8_p2063_Lopez_oai |
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I28-R145-paper_00222488_v32_n8_p2063_Lopez_oai2024-08-16 López, M.C. Noriega, R.J. Schifini, C.G. 1991 It will be proven that if a gauge-invariant Lagrangian density having the local form L = L(gij;Ai;Aij) is such that its Euler-Lagrange equations Ei(L) = 0 have the same set of solutions as Ei(L0) = 0, where L0 = g1/2F ijFij, then L and cL0 are equivalent for same constant c, i.e., Ei(L) = Ei(cL0). From a previous result it follows that L = cL0 + D + eg1/2, where D is a divergence and e is a constant. © 1991 American Institute of Physics. Fil:Noriega, R.J. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Schifini, C.G. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. application/pdf http://hdl.handle.net/20.500.12110/paper_00222488_v32_n8_p2063_Lopez info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar Journal of Mathematical Physics 1991;32(8):2063-2064 Equivalence and s-equivalence of vector-tensor Lagrangians info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_00222488_v32_n8_p2063_Lopez_oai |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-145 |
| collection |
Repositorio Digital de la Universidad de Buenos Aires (UBA) |
| description |
It will be proven that if a gauge-invariant Lagrangian density having the local form L = L(gij;Ai;Aij) is such that its Euler-Lagrange equations Ei(L) = 0 have the same set of solutions as Ei(L0) = 0, where L0 = g1/2F ijFij, then L and cL0 are equivalent for same constant c, i.e., Ei(L) = Ei(cL0). From a previous result it follows that L = cL0 + D + eg1/2, where D is a divergence and e is a constant. © 1991 American Institute of Physics. |
| format |
Artículo Artículo publishedVersion |
| author |
López, M.C. Noriega, R.J. Schifini, C.G. |
| spellingShingle |
López, M.C. Noriega, R.J. Schifini, C.G. Equivalence and s-equivalence of vector-tensor Lagrangians |
| author_facet |
López, M.C. Noriega, R.J. Schifini, C.G. |
| author_sort |
López, M.C. |
| title |
Equivalence and s-equivalence of vector-tensor Lagrangians |
| title_short |
Equivalence and s-equivalence of vector-tensor Lagrangians |
| title_full |
Equivalence and s-equivalence of vector-tensor Lagrangians |
| title_fullStr |
Equivalence and s-equivalence of vector-tensor Lagrangians |
| title_full_unstemmed |
Equivalence and s-equivalence of vector-tensor Lagrangians |
| title_sort |
equivalence and s-equivalence of vector-tensor lagrangians |
| publishDate |
1991 |
| url |
http://hdl.handle.net/20.500.12110/paper_00222488_v32_n8_p2063_Lopez https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_00222488_v32_n8_p2063_Lopez_oai |
| work_keys_str_mv |
AT lopezmc equivalenceandsequivalenceofvectortensorlagrangians AT noriegarj equivalenceandsequivalenceofvectortensorlagrangians AT schifinicg equivalenceandsequivalenceofvectortensorlagrangians |
| _version_ |
1809357201436835840 |