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Results tagged with dimensional-regularization
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user 244199
Dimensional regularization is a method of isolating divergencies in scattering amplitudes.
2
votes
Dimensional regularization of a divergent integral
The method of dimensional regularization in QFT comes with a few definitions which are crucial to evaluating integrals of this type. Following Zinn-Justin, they are the properties of these integrals u …
- 2,159
2
votes
Accepted
When can I set $d=4$ in dimensional regularization?
The important quantities in dimensional regularization are precisely the poles you will obtain in the limit $\omega \rightarrow 2$ and their associated residues. In other words, your bare correlation …
- 2,159
2
votes
A question on dimensional regularization in 4+1D
The fact that the dimensionally-regularized integral does not have a divergent part in 4+1 dimensions is not a problem. In general, one expects that if you use an arbitrary UV regulator $\Lambda$, tha …
- 2,159
5
votes
Dimensional regularization integral
As pointed out in the comments, the two integrals are really the same. Also, just by redefining $k \rightarrow v k$ in the integral, we can easily scale out the $v$-dependence:
$$
\int_0^{ \infty } dk …
- 2,159