- #1
nidnus
- 6
- 0
Hi everyone,
I have a 2D sigma model with supersymmetry on the worldsheet. It has both cubic and quartic interactions and I'm interested in the one loop correction to the worldsheet masses. When I calculate this with dimensional regularization I find that everything is zero as expected. In momentum cutoff ##\Lambda## however I find terms corresponding to infinite mass renormalization. That is
Dim reg:
$$ \delta m^2 = 0 $$
while in
momentum cutoff:
$$ \delta m^2 = \alpha \Lambda^2 + \beta $$
where ##\alpha,\beta## are constants like ##1/\pi## etc.
My question is, what is the meaning of the terms popping up in the momentum cutoff? They shouldn't be physical but I feel I lack a proper argument for that statement.
Thanks a lot
I have a 2D sigma model with supersymmetry on the worldsheet. It has both cubic and quartic interactions and I'm interested in the one loop correction to the worldsheet masses. When I calculate this with dimensional regularization I find that everything is zero as expected. In momentum cutoff ##\Lambda## however I find terms corresponding to infinite mass renormalization. That is
Dim reg:
$$ \delta m^2 = 0 $$
while in
momentum cutoff:
$$ \delta m^2 = \alpha \Lambda^2 + \beta $$
where ##\alpha,\beta## are constants like ##1/\pi## etc.
My question is, what is the meaning of the terms popping up in the momentum cutoff? They shouldn't be physical but I feel I lack a proper argument for that statement.
Thanks a lot