Noether formalism for conserved quantities in classical gauge field theories.

Details Noether formalism for conserved quantities in classical gauge field theories. Noether formalism for conserved quantities in classical gauge field theories.

Apr 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994jmp....35.1644f&link_type=abstract

Journal of Mathematical Physics, Vol. 35, No. 4, p. 1644 - 1657

Mathematics

Mathematical Physics

12

Field Theories: Gravitation Theory

Scientific paper

Gauge theories coupled with the gravitational field and external matter fields are considered and Noetherian techniques are used to build the canonical conserved quantities. Their superpotentials are found and the relation between the canonical stress tensor and the Hilbert tensor is determined. The case of Yang-Mills theories coupled with gravity and scalar matter fields is considered in detail and it is shown that in this case the canonical stress tensor and the Hilbert tensor coincide.

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