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I have a basic question, how can I draw a tadpole using feynmp?enter image description here

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Here is one way. You need run latex on this twice to get the output. I obtained this by following the types of examples given at http://osksn2.hep.sci.osaka-u.ac.jp/~taku/osx/feynmp.html

Sample output

\documentclass{article}

\usepackage{feynmp-auto}

\begin{document}
\unitlength=1mm

\begin{fmffile}{example}
  \begin{fmfgraph}(40,25)
    \fmfleft{i}
    \fmfright{o}
    \fmf{photon}{i,v1}
    \fmf{plain,left}{v1,o,v1}
  \end{fmfgraph}
\end{fmffile}

\end{document}
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