- #1
kassem84
- 13
- 0
Dear all,
Dimensional regularization is a very important technique to remove the divergence from momentum integrals.
Suppose that you have to calculate a quantity composed of three integrals over k_1, k_2 and k_3 (each one is three dimensional). the integral over k_3 gives ultra violet divergence. Whereas, the remained integrals give finite numbers.
I have some questions:
1) Can we play with these integrals (performing change of variables or calculating one or two of these integrals) before performing dimensional regularization?
2) Can we transform these 3 integrals into one dimensional integrals that is divergent and then do the dimensional regularization?
Thanks in advance.
Best regards.
Dimensional regularization is a very important technique to remove the divergence from momentum integrals.
Suppose that you have to calculate a quantity composed of three integrals over k_1, k_2 and k_3 (each one is three dimensional). the integral over k_3 gives ultra violet divergence. Whereas, the remained integrals give finite numbers.
I have some questions:
1) Can we play with these integrals (performing change of variables or calculating one or two of these integrals) before performing dimensional regularization?
2) Can we transform these 3 integrals into one dimensional integrals that is divergent and then do the dimensional regularization?
Thanks in advance.
Best regards.