- #1
alialice
- 51
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Which is the mass dimension of a scalar filed in 2 dimensions?
In 4 dim I know that a scalar field has mass dimension 1, by imposing that the action has dim 0:
[itex]S=\int d^4 x \partial_{\mu} A \partial^{\mu} A [/itex]
where
[itex]\left[S\right]=0[/itex]
[itex]\left[d^4 x \right] =-4[/itex]
[itex]\left[ \partial_{\mu} \right]=1[/itex]
[itex]\Rightarrow \left[A\right]=1[/itex]
Doing the same in 2 dim I found
[itex]\left[A\right]=0[/itex]
Is it right?
I need it for a model in supersymmetry.
In 4 dim I know that a scalar field has mass dimension 1, by imposing that the action has dim 0:
[itex]S=\int d^4 x \partial_{\mu} A \partial^{\mu} A [/itex]
where
[itex]\left[S\right]=0[/itex]
[itex]\left[d^4 x \right] =-4[/itex]
[itex]\left[ \partial_{\mu} \right]=1[/itex]
[itex]\Rightarrow \left[A\right]=1[/itex]
Doing the same in 2 dim I found
[itex]\left[A\right]=0[/itex]
Is it right?
I need it for a model in supersymmetry.