Weave: val/examples (22/09/26 11:31:15)

\zeta(z)=-\int\wp(z)d z=\frac{1}{z}+\sum_{\omega\neq0}\{\frac{1}{(z-\omega)}+\frac{1}{\omega}+\frac{z}{\omega^{2}}\},

\zeta(z)=-\int\wp(z)d z=\frac{1}{z}+\sum_{\omega\neq0}\{\frac{1}{(z-\omega)}+\frac{1}{\omega}+\frac{z}{\omega^{2}}\},

K=i\int_{0}^{\infty}d T\;e^{-i T(\gamma^{\mu}P_{\mu}^{\prime}-m)}\delta^{4}(P^{\prime\prime}-P^{\prime})={\frac{\delta^{4}(P^{\prime\prime}-P^{\prime})}{\gamma^{\mu}P_{\mu}^{\prime}-m-i0_{+}}}\,.

K=i\int_{0}^{\infty}d T\;e^{-i T(\gamma^{\mu}P_{\mu}^{\prime}-m)}\delta^{4}(P^{\prime\prime}-P^{\prime})=\frac{\delta^{4}(P^{\prime\prime}-P^{\prime})}{\gamma^{\mu}P_{\mu}^{\prime}-m-i0_{+}}\,.

X(p_{0})=\frac{i\Gamma}{2\pi}\,\left[\left(p_{0}^{2}-\frac{3m^{2}}{2}+\frac{m^{4}}{2p_{0}^{2}}\right)\,\log\left|\frac{p_{0}^{2}-m^{2}}{m^{2}}\right|+\frac{m^{2}}{2}-\frac{5p_{0}^{2}}{4}\right]\,.

X(p_{0})=\frac{i\Gamma}{2\pi}\left[\left(p_{0}^{2}-\frac{3m^{2}}{2}+\frac{m^{4}}{2p_{0}^{2}}\right)\log\left|\frac{p_{0}^{2}-m^{2}}{m^{2}}\right|+\frac{m^{2}}{2}-\frac{5p_{0}^{2}}{4}\right].