In the framework of higher-order field theory we establish a remarkable identity for the Lagrangian, which enables us to prove, to any order, that the necessary and sufficient condition for obtaining identically vanishing field equations is that the Lagrangian is a divergence. Furthermore, it enables us to remove from field theory the ambiguities related to the noninvariance of the energy-momentum tensor under the addition of a divergence to the Lagrangian.
Identically vanishing field equations and D-invariance in field theory
FERRARIS, Marco;FRANCAVIGLIA, Mauro
1989-01-01
Abstract
In the framework of higher-order field theory we establish a remarkable identity for the Lagrangian, which enables us to prove, to any order, that the necessary and sufficient condition for obtaining identically vanishing field equations is that the Lagrangian is a divergence. Furthermore, it enables us to remove from field theory the ambiguities related to the noninvariance of the energy-momentum tensor under the addition of a divergence to the Lagrangian.File in questo prodotto:
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