Noether and Belinfante stress-energy tensors for theories with arbitrary Lagrangians of tensor fields

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Noether and Belinfante stress-energy tensors for theories with arbitrary Lagrangians of tensor fields. / Ильин, Роман Викторович ; Пастон, Сергей Александрович.

In: Journal of Physics: Conference Series, Vol. 1135, No. 1, 012007, 20.12.2018.

Research output: Contribution to journal › Conference article › peer-review

BibTeX

@article{4297eb2bfae94ed3b66664fb576ba386,

title = "Noether and Belinfante stress-energy tensors for theories with arbitrary Lagrangians of tensor fields",

abstract = "We investigate the connection between stress-energy tensor (SET) arising from Noether's theorem and Belinfante SET which can be obtained as a right-hand side of the Einstein's equation in the flat metric limit. This question is studied in the wide class of Poincar{\`e}-invariant field theories with actions which depend on the tensor fields of arbitrary rank and their derivatives of arbitrary order. For this class we derive the relation between these SET and present the exact expression for the difference between them. We also show that the difference between corresponding integrals of motion can be expressed as a surface integral over 2-dimensinal infinitely remote surface.",

author = "Ильин, {Роман Викторович} and Пастон, {Сергей Александрович}",

note = "Funding Information: The work of one of the authors (R. V. Ilin) was supported by RFBR grant N 18-31-00169.; International Conference PhysicA.SPb 2018 ; Conference date: 23-10-2018 Through 25-10-2018",

year = "2018",

month = dec,

day = "20",

doi = "10.1088/1742-6596/1135/1/012007",

language = "English",

volume = "1135",

journal = "Journal of Physics: Conference Series",

issn = "1742-6588",

publisher = "IOP Publishing Ltd.",

number = "1",

}

RIS

TY - JOUR

T1 - Noether and Belinfante stress-energy tensors for theories with arbitrary Lagrangians of tensor fields

AU - Ильин, Роман Викторович

AU - Пастон, Сергей Александрович

N1 - Funding Information: The work of one of the authors (R. V. Ilin) was supported by RFBR grant N 18-31-00169.

PY - 2018/12/20

Y1 - 2018/12/20

N2 - We investigate the connection between stress-energy tensor (SET) arising from Noether's theorem and Belinfante SET which can be obtained as a right-hand side of the Einstein's equation in the flat metric limit. This question is studied in the wide class of Poincarè-invariant field theories with actions which depend on the tensor fields of arbitrary rank and their derivatives of arbitrary order. For this class we derive the relation between these SET and present the exact expression for the difference between them. We also show that the difference between corresponding integrals of motion can be expressed as a surface integral over 2-dimensinal infinitely remote surface.

AB - We investigate the connection between stress-energy tensor (SET) arising from Noether's theorem and Belinfante SET which can be obtained as a right-hand side of the Einstein's equation in the flat metric limit. This question is studied in the wide class of Poincarè-invariant field theories with actions which depend on the tensor fields of arbitrary rank and their derivatives of arbitrary order. For this class we derive the relation between these SET and present the exact expression for the difference between them. We also show that the difference between corresponding integrals of motion can be expressed as a surface integral over 2-dimensinal infinitely remote surface.

UR - http://www.scopus.com/inward/record.url?scp=85059387499&partnerID=8YFLogxK

UR - http://www.mendeley.com/research/noether-belinfante-stressenergy-tensors-theories-arbitrary-lagrangians-tensor-fields

U2 - 10.1088/1742-6596/1135/1/012007

DO - 10.1088/1742-6596/1135/1/012007

M3 - Conference article

VL - 1135

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

SN - 1742-6588

IS - 1

M1 - 012007

T2 - International Conference PhysicA.SPb 2018

Y2 - 23 October 2018 through 25 October 2018

ER -

ID: 36961979