- #1

binbagsss

- 1,266

- 11

- Homework Statement
- see below

- Relevant Equations
- see below

Apologies it's been a little while since I've done this, but I believe the rule is, that if the object is not a tensor you can not rename the dummy index?

For example, i have the action

##\int d^3 x \epsilon^{uvp} A_u \partial v A_p ## and I want to write this in terms of the ##i## and ##0## components (so that I can take ##\frac{\delta S}{\delta A_0}## and so later on, I imagine, once I've intergreated by parts etc, it will become handy to rename the dummy indicies, but this can not be done for the levi-civita symbol...is this correct?

many thanks

For example, i have the action

##\int d^3 x \epsilon^{uvp} A_u \partial v A_p ## and I want to write this in terms of the ##i## and ##0## components (so that I can take ##\frac{\delta S}{\delta A_0}## and so later on, I imagine, once I've intergreated by parts etc, it will become handy to rename the dummy indicies, but this can not be done for the levi-civita symbol...is this correct?

many thanks