Noether's theorem in classical field theory

1972 ◽  
Vol 69 (2) ◽  
pp. 349-363 ◽  
Author(s):  
Joe Rosen
Keyword(s):  
Field Theory ◽  
Classical Field Theory ◽  
Classical Field ◽  
Noether’S Theorem ◽  
Noether's Theorem

scholarly journals Lie groupoids in classical field theory I: Noether’s theorem

2018 ◽  
Vol 131 ◽  
pp. 220-245 ◽  
Author(s):  
Bruno T. Costa ◽  
Michael Forger ◽  
Luiz Henrique P. Pêgas
Keyword(s):  
Field Theory ◽  
Classical Field Theory ◽  
Classical Field ◽  
Lie Groupoids ◽  
Noether’S Theorem ◽  
Noether's Theorem

scholarly journals SYMMETRIES AND CONSERVATION LAWS IN THE GÜNTHER k-SYMPLECTIC FORMALISM OF FIELD THEORY

2007 ◽  
Vol 19 (10) ◽  
pp. 1117-1147 ◽  
Author(s):  
NARCISO ROMÁN-ROY ◽  
MODESTO SALGADO ◽  
SILVIA VILARIÑO
Keyword(s):  
Field Theory ◽  
Conservation Laws ◽  
Classical Field ◽  
Field Theories ◽  
Noether’S Theorem ◽  
Noether's Theorem ◽  
First Order ◽  
Gauge Symmetries ◽  
Classical Field Theories

This paper is devoted to studying symmetries of k-symplectic Hamiltonian and Lagrangian first-order classical field theories. In particular, we define symmetries and Cartan symmetries and study the problem of associating conservation laws to these symmetries, stating and proving Noether's theorem in different situations for the Hamiltonian and Lagrangian cases. We also characterize equivalent Lagrangians, which lead to an introduction of Lagrangian gauge symmetries, as well as analyzing their relation with Cartan symmetries.

scholarly journals Asymptotic Conservation Laws in Classical Field Theory

1996 ◽  
Vol 77 (20) ◽  
pp. 4109-4113 ◽  
Author(s):  
Ian M. Anderson ◽  
Charles G. Torre
Keyword(s):  
Field Theory ◽  
Conservation Laws ◽  
Classical Field Theory ◽  
Classical Field
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