- #1

robousy

- 334

- 1

Hey folks,

Sometimes I see the calculation of the vacuum energy written as:

[tex]\int\frac{d^3k}{(2\pi)^3}(k^2+m^2)[/tex]

and sometimes written:

[tex]\int\frac{d^4k}{(2\pi)^4}log(k^2+m^2)[/tex]

See for example http://arxiv.org/abs/hep-ph/0105021 equation9.

Does anyone know why you can increase the k integral power by one and why this introduces a log?

Thanks!

Sometimes I see the calculation of the vacuum energy written as:

[tex]\int\frac{d^3k}{(2\pi)^3}(k^2+m^2)[/tex]

and sometimes written:

[tex]\int\frac{d^4k}{(2\pi)^4}log(k^2+m^2)[/tex]

See for example http://arxiv.org/abs/hep-ph/0105021 equation9.

Does anyone know why you can increase the k integral power by one and why this introduces a log?

Thanks!

Last edited: