Gauge invariance of the Euler-Lagrange expressions
We prove, for a Lagrangian density L(gij;Aiαi;Aijα), that the gauge invariance of the Euler-Lagrange expressions Eαi(L) implies the existence of a gauge-invariant scalar density L1, such that Eαi(L) =Eαi(L1). We then prove the uniqueness of the Yang-Mills field equations. © 1992 Plenum Publishing Co...
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1992
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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00207748_v31_n1_p31_Noriega http://hdl.handle.net/20.500.12110/paper_00207748_v31_n1_p31_Noriega |
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| Sumario: | We prove, for a Lagrangian density L(gij;Aiαi;Aijα), that the gauge invariance of the Euler-Lagrange expressions Eαi(L) implies the existence of a gauge-invariant scalar density L1, such that Eαi(L) =Eαi(L1). We then prove the uniqueness of the Yang-Mills field equations. © 1992 Plenum Publishing Corporation. |
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