- #1
zetafunction
- 391
- 0
my question is the following
let be the Fourier transform [tex] \int_{-\infty}^{\infty}d^{4}p \frac{exp( ip*k)}{p^{2}+a^{2}} [/tex]
here [tex] p^{2}= p_{0}^{2}+p_{1}^{2}+p_{2}^{2}+p_{3}^{2} [/tex]
is the modulus of vector 'p' , here * means scalar product
for the scalar product i can use the definition [tex] p*k= |p|.|k|.cos(u) [/tex]
so ony the modulus appear, my question is if there is a way to set cos(u) =1 to get rid of the integration about angular variables, thanks
let be the Fourier transform [tex] \int_{-\infty}^{\infty}d^{4}p \frac{exp( ip*k)}{p^{2}+a^{2}} [/tex]
here [tex] p^{2}= p_{0}^{2}+p_{1}^{2}+p_{2}^{2}+p_{3}^{2} [/tex]
is the modulus of vector 'p' , here * means scalar product
for the scalar product i can use the definition [tex] p*k= |p|.|k|.cos(u) [/tex]
so ony the modulus appear, my question is if there is a way to set cos(u) =1 to get rid of the integration about angular variables, thanks