Timeline for Examples of non-linear field symmetries?
Current License: CC BY-SA 3.0
6 events
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| Oct 22, 2015 at 15:38 | comment | added | Andrew | @WeatherReport Hm I'm not sure I agree with that, if the actions are the same before and after the transformation then the EOMs derived from those actions will be the same too. A subtlety that may or may not be relevant is that when you have linearly realized symmetries involving multiple fields (such as an internal $SO(2)$ symmetry), the EOMs are technically covariant, not invariant, under the transformation. | |
| Oct 22, 2015 at 14:48 | comment | added | Steven Mathey | @WeatherReport Could you check this with my example? I expect that KPZ equation is invariant under the non-linear symmetry, but I never checked. | |
| Oct 22, 2015 at 13:59 | comment | added | Weather Report | It seems to me, that invariance of Lagrangian is equivalent to invariance of EOM only if this condition ('linearity' as stated in the appendix to the OP) is satisfied. I wish to check this at some particular examples. Maybe I'll make up a separate question on this. | |
| Oct 22, 2015 at 13:18 | comment | added | Andrew | What application do you have in mind, out of curiosity? | |
| Oct 22, 2015 at 13:08 | comment | added | Weather Report | An interesting example, however not the one I had I mind. Depends on the conventions of course, but I would call this one linear inhomogeneous or something like that. Does not really suit for an application I've been thinking on. | |
| Oct 22, 2015 at 12:53 | history | answered | Andrew | CC BY-SA 3.0 |