Problem of the identical vanishing of Euler-Lagrange derivatives in field theory
Journal Article
·
· Phys. Rev. D; (United States)
I prove that the necessary and sufficient condition for two Lagrangian densities L/sub 1/(psi/sup A/;psi/sup A//sub ,alpha/) and L/sub 2/(psi/sup A/;psi/sup A//sub ,alpha/) to have exactly the same Euler-Lagrange derivatives is that their difference ..delta..(psi/sup A/;psi/sup A//sub ,alpha/) be the divergence of ..omega../sup ..mu../(psi/sup A/;psi/sup A//sub ,alpha/;x/sup ..mu../) with a given dependence on psi/sup A//sub ,alpha/. The main point is that ..omega../sup ..mu../ depends on psi/sup A//sub ,alpha/ but ..delta.. does not depend on second derivatives of the field psi/sup A/. Therefore, the function ..delta.. need not be linear in psi/sup A//sub ,alpha/.
- Research Organization:
- Centro de Estudios Nucleares, Universidad Nacional Autonoma de Mexico, Circuito Exterior, C.U., 04510 Mexico, D.F., Mexico
- OSTI ID:
- 6209751
- Journal Information:
- Phys. Rev. D; (United States), Vol. 27:2
- Country of Publication:
- United States
- Language:
- English
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