 #1
 257
 2
Main Question or Discussion Point
Suppose you have a λφ^{4} theory. Books only seem to calculate counterterms for 2pt and 4pt functions.
But what about 3 particles scattering into 3 particles? Do the counterterms determined by renormalizing the 2pt and 4pt functions cancel divergences in 3x3 scattering?
For example, take the graph below:
Is it obvious that the counterterms from 2x2 and scattering, along with counterterms from the 2pt function, can cancel this graph?
But what about 3 particles scattering into 3 particles? Do the counterterms determined by renormalizing the 2pt and 4pt functions cancel divergences in 3x3 scattering?
For example, take the graph below:
Is it obvious that the counterterms from 2x2 and scattering, along with counterterms from the 2pt function, can cancel this graph?
Attachments

7.8 KB Views: 292