Invariance groups and conservation laws in linear field theories

1965 ◽  
Vol 63 (1) ◽  
pp. 395-397
Author(s):  
H. Steudel
Keyword(s):  
Conservation Laws ◽  
Field Theories ◽  
Invariance Groups ◽  
Linear Field

scholarly journals TheSMatrix in Non-Linear Field Theories

1971 ◽  
Vol 45 (3) ◽  
pp. 949-960
Author(s):  
Kazuhiko Nishijima ◽  
Tadashi Watanabe
Keyword(s):  
Field Theories ◽  
Non Linear ◽  
Linear Field

Perturbations of conservation laws in field theories

1986 ◽  
Vol 167 (2) ◽  
pp. 354-389 ◽  
Author(s):  
Judith M Arms ◽  
Ian M Anderson
Keyword(s):  
Conservation Laws ◽  
Field Theories

A symplectic framework of linear field theories

1982 ◽  
Vol 130 (1) ◽  
pp. 177-195 ◽  
Author(s):  
Wlodzimierz M. Tulczyjew
Keyword(s):  
Field Theories ◽  
Linear Field

scholarly journals USING CONSERVATION LAWS TO SOLVE TODA FIELD THEORIES

1996 ◽  
Vol 11 (10) ◽  
pp. 1831-1853 ◽  
Author(s):  
ERLING G.B. HOHLER ◽  
KÅRE OLAUSSEN
Keyword(s):  
Field Theory ◽  
Differential Equations ◽  
Conservation Laws ◽  
Closed System ◽  
Transformation Group ◽  
Field Theories ◽  
Real Form ◽  
Local Conservation ◽  
Considerable Detail ◽  
Toda Field Theory

We investigate the question of how the knowledge of sufficiently many local conservation laws for a model can be used to solve it. We show that for models where the conservation laws can be written in one-sided forms, [Formula: see text] like the problem can always be reduced to solving a closed system of ordinary differential equations. We investigate the A1, A2 and B2 Toda field theories in considerable detail from this viewpoint. One of our findings is that there is in each case a transformation group intrinsic to the model. This group is built on a specific real form of the Lie algebra used to label the Toda field theory. It is the group of field transformations which leaves the conserved densities invariant.

Sign in / Sign up

Export Citation Format

Share Document