Hi everyone,(adsbygoogle = window.adsbygoogle || []).push({});

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

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Dimensional regularization vs momentum cutoff

**Physics Forums | Science Articles, Homework Help, Discussion**