Answer to Question #90679 in Field Theory for Vasiliy

Question

What is the energy dimension of Lagrangian?(c=1, h=1)

Answer 1

As plank constant is 1, action is also dimensionless.

As

$$S=\int{L dt}$$

$$[S]=[L][t]=1$$

$$[L]=[t]^{-1}=E$$

So, Lagrangian has dimension of energy