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

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Exact relation between canonical and metric energy-momentum tensors for higher derivative tensor field theories. / Ilin, R. V.; Paston, S. A.

в: European Physical Journal Plus, Том 134, № 1, 21, 01.01.2019.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

BibTeX

@article{7dbefa7e81f5491099c77eedbb146646,

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

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.",

keywords = "ANGULAR-MOMENTUM, FORMULATION, GRAVITY",

author = "Ilin, {R. V.} and Paston, {S. A.}",

note = "Ilin, R.V., Paston, S.A. Exact relation between canonical and metric energy-momentum tensors for higher derivative tensor field theories. Eur. Phys. J. Plus 134, 21 (2019). https://doi.org/10.1140/epjp/i2019-12359-x",

year = "2019",

month = jan,

day = "1",

doi = "10.1140/epjp/i2019-12359-x",

language = "English",

volume = "134",

journal = "European Physical Journal Plus",

issn = "2190-5444",

publisher = "Springer Nature",

number = "1",

}

RIS

TY - JOUR

T1 - Exact relation between canonical and metric energy-momentum tensors for higher derivative tensor field theories

AU - Ilin, R. V.

AU - Paston, S. A.

N1 - Ilin, R.V., Paston, S.A. Exact relation between canonical and metric energy-momentum tensors for higher derivative tensor field theories. Eur. Phys. J. Plus 134, 21 (2019). https://doi.org/10.1140/epjp/i2019-12359-x

PY - 2019/1/1

Y1 - 2019/1/1

N2 - 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.

AB - 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.

KW - ANGULAR-MOMENTUM

KW - FORMULATION

KW - GRAVITY

UR - http://www.scopus.com/inward/record.url?scp=85059917908&partnerID=8YFLogxK

U2 - 10.1140/epjp/i2019-12359-x

DO - 10.1140/epjp/i2019-12359-x

M3 - Article

AN - SCOPUS:85059917908

VL - 134

JO - European Physical Journal Plus

JF - European Physical Journal Plus

SN - 2190-5444

IS - 1

M1 - 21

ER -

ID: 37625000