Symmetrical electromagnetic energy-momentum tensor from Noether’s theorem

1982 ◽  
Vol 33 (15) ◽  
pp. 502-504
Author(s):  
E. Corinaldesi
Keyword(s):  
Energy Momentum Tensor ◽  
Momentum Tensor ◽  
Electromagnetic Energy ◽  
Noether’S Theorem ◽  
Noether's Theorem

scholarly journals Covariant Canonical Method for Yang-Mills Theory Expressed as a Constrained BF-Like Theory

2012 ◽  
Vol 2012 ◽  
pp. 1-13 ◽  
Author(s):  
Alberto Escalante ◽  
Irving García
Keyword(s):  
Energy Momentum Tensor ◽  
Momentum Tensor ◽  
Canonical Analysis ◽  
Noether’S Theorem ◽  
Yang Mills ◽  
Noether's Theorem ◽  
Canonical Approach

The covariant canonical analysis for Yang-Mills theory expressed as a BF-like action is performed. We study a BF-like action, that in spite of being the coupling of two topological terms, yield, on shell to Yang-Mills action. In addition, by using the results obtained in the covariant canonical approach we study the symmetries of the action, in particular we calculate its energy-momentum tensor obtaining the same tensor found for Yang-Mills theory; then we confirm those results by using Noether's theorem.

Der aus dem Noetherschen Theorem folgende Energie-Impulstensor für das elektromagnetische Feld in Materie

1969 ◽  
Vol 24 (9) ◽  
pp. 1356-1361 ◽  
Author(s):  
U.E. Schröder
Keyword(s):  
Electromagnetic Field ◽  
Mechanical System ◽  
Energy Momentum Tensor ◽  
Momentum Tensor ◽  
Noether’S Theorem ◽  
Electromagnetic System ◽  
Noether's Theorem ◽  
Scale Transformations ◽  
Asymmetric Expression

Abstract The often discussed question concerning the energy-momentum tensor of the electromagnetic field in matter can be answered using NOETHER'S theorem. The separation of the electromagnetic system from the mechanical system introduced here leads to the asymmetric expression for the energy momentum tensor. From covariance with respect to scale transformations one further concludes that the trace of the energy-momentum tensor vanishes.

Further comments on the equivalence of Abraham's, Minkowski's, and others' electrodynamics

1980 ◽  
Vol 58 (8) ◽  
pp. 1163-1170 ◽  
Author(s):  
Gérard A. Maugin
Keyword(s):  
Energy Density ◽  
Total Energy ◽  
Mechanical Behavior ◽  
Internal Energy ◽  
Closed System ◽  
Ad Hoc ◽  
Energy Momentum Tensor ◽  
Momentum Tensor ◽  
Electromagnetic Energy ◽  
Time Decomposition

Arguments recently proposed by Kranyš concerning the nondistinguishability between Abraham's and Minkowski's electromagnetic contributions to the total energy-momentum tensor of the same relativistic, thermodynamically closed system are extended to other electromagnetic energy-momentum tensors (as proposed by Grot and Eringen and de Groot and Suttorp). The adjustment of the corresponding "matter" contribution, which occurs in each element of the canonical space-time decomposition of the total energy-momentum tensor, is exhibited in those different cases. For dissipation-free systems this adjustment can be achieved for each case by means of an ad hoc Legendre transformation on the internal energy density. The arguments used do not presuppose any isotropy and linearity of the medium and can be readily extended to the cases of media with hysteresis and media endowed with intrinsic spins, be they of a fluid-like or solid-like type of mechanical behavior.

4/3 problem, Poynting theorem, and electromagnetic energy–momentum tensor

2015 ◽  
Vol 93 (6) ◽  
pp. 691-697 ◽  
Author(s):  
Alexander L. Kholmetskii ◽  
Oleg V. Missevitch ◽  
Tolga Yarman
Keyword(s):  
Energy Momentum Tensor ◽  
Momentum Tensor ◽  
Electromagnetic Energy ◽  
Poynting Theorem
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