Common integrals in quantum field theory: Difference between revisions

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:<math>\int_0^{\infty} {k\; dk \over k^2 +m^2} J_0 \left( kr \right)=K_0 (mr). </math>

See Abramowitz and Stegun.<ref>{{cite book | author=M. Abramowitz and I. Stegun| title=Handbook of Mathematical Functions| publisher= Dover| year=1965 | isbn=0486-61272-4| url-access=registration| url=https://archive.org/details/handbookofmathe000abra}} Section 11.4.44</ref>

For <math> mr << 1 </math>, we have<ref>Jackson, p. 116</ref>