Noether symmetries, energy-momentum tensors, and conformal invariance in classical field theory

Journal of Mathematical Physics

Volumn 52, Issue 1, 2011, Pages

  Pons, Josep M ^a  

^a UNIVERSITY OF BARCELONA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 79551519980     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3532941     Document Type: Article

References (52)

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46. μν must be taken antisymmetric in such indices. This is the reason of the factor 1/2.
47. μ)2 is considered
48. The assumptions made in Ref. 44 exclude our example.
49. It is a tensor density of weight 1 because the Lagrangian is a scalar density.
50. Since the background is fixed, there is no longer the gauge symmetry of diffeomorphism invariance. A residual, nongauge, subgroup of diffeomorphisms can still realize Noether symmetries, as we shall see.
51. Conserved or covariantly conserved is the same for a vector density, with the standard Riemmanian connection.
52. f depending on the derivatives of the fields, since these derivatives become covariant derivatives upon covariantization.