how does dimensional regularization work ?(adsbygoogle = window.adsbygoogle || []).push({});

i see , how can you calculate integrals in d-dimensions of the form

[tex] \int d^{d} k F( \vec k ) [/tex] ??

and for other cases , let us suppose we have the integral

[tex] \lim_{\varepsilon\rightarrow 0^+}\int \frac{dp}{(2\pi)^{4-\varepsilon}} \frac{2\pi^{(4-\varepsilon)/2}}{\Gamma\left(\frac{4-\varepsilon}{2}\right)} \frac{p^{3-\varepsilon}}{\left(p^2+m^2\right)^1} [/tex]

there is no way this integral can be calculated

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# Dimensional regularization

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