Hi,
Can anyone point me to a reference where the complete amplitude for a sunrise diagram in 2D with generally different masses is written down. That is, I want the value of the following integral
$$ \int d^2k d^2l \frac{1}{(k^2-m_1^2)(l^2-m_2^2)((p-k-l)^2-m_3^2)}
$$
where p is the...
Hi Chris,
Thanks for your answer. Indeed, the terms I find correspond to mass renormalization. However, I would expect ##\delta m^2 ## to be zero since its a susy model. What is more, the ##\delta m^2## in hard cutoff is different for boson and fermions implying that susy is broken which should...
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...
Hi everyone,
Say I have a 2D one loop integral of the form
$$ I^s_n(\Delta)=\int d^2 l \frac{(l^2)^s}{(l^2-\Delta)^n} $$
Using that ##1 = \frac{1}{2} \partial_\mu l^\mu##, I can relate say
$$I^1_2(\Delta)=I^0_1(\Delta)$$
+ total derivative term.
In dimensional regularization one usually...
Hi All,
My first post here.
As far as I've understood there are problems with massless states in two dimensions.
In the problem I am working on I have a 2D (non linear) sigma model with a lot of symmetries. The worldsheet fields come as heavy and massless. My main interest is to...