Exact relation between canonical and metric energy-momentum tensors for higher derivative tensor field theories

Research output

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Abstract

We discuss the relation between canonical and metric energy-momentum tensors for field theories with actions that can depend on the higher derivatives of tensor fields in a flat spacetime. In order to obtain it we use a modification of Noether's procedure for curved spacetime. For the considered case the difference between these two tensors turns out to have a more general form than for theories with no more than first-order derivatives. Despite this fact we prove that the difference between corresponding integrals of motion still has the form of an integral over 2-dimensional surface that is infinitely remote in the spacelike directions.

Original languageEnglish
Article number21
Number of pages8
JournalEuropean Physical Journal Plus
Volume134
Issue number1
DOIs
Publication statusPublished - 1 Jan 2019

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