- #1
alialice
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Consider the superfield phi in two dimensions
[itex] \phi\left( x,\theta \right) = A\left(x\right) + i \bar{\theta} \psi\left(x\right) + \frac{i}{2}\bar{\theta}\theta F\left(x\right) [/itex]
where the dimension of phi and A is zero (scalar field), the dimension of F is 1 (auxiliary field), the dimension of psi and theta is 1/2 (spinorial field).
The spinor theta has two real component (majorana condition): theta1 and theta2.
Which is the action for this superfield?
The mass term is [itex] \int d^2 x d\theta_1 d\theta_2 m \phi^{2}[/itex]
The cubic interaction term is [itex] \int d^2 x d\theta_1 d\theta_2 \lambda \phi^3[/itex]
And the kinetic term?
Please help me!
[itex] \phi\left( x,\theta \right) = A\left(x\right) + i \bar{\theta} \psi\left(x\right) + \frac{i}{2}\bar{\theta}\theta F\left(x\right) [/itex]
where the dimension of phi and A is zero (scalar field), the dimension of F is 1 (auxiliary field), the dimension of psi and theta is 1/2 (spinorial field).
The spinor theta has two real component (majorana condition): theta1 and theta2.
Which is the action for this superfield?
The mass term is [itex] \int d^2 x d\theta_1 d\theta_2 m \phi^{2}[/itex]
The cubic interaction term is [itex] \int d^2 x d\theta_1 d\theta_2 \lambda \phi^3[/itex]
And the kinetic term?
Please help me!