Loop along a line in tikz-feynman

Question

In tikz-feynman, I want to draw a curved arc between two points, and then attach a loop to this. Here is an extremely hack version I did as a stopgap:

\documentclass{article}
\usepackage{tikz} 
\usepackage[compat=1.1.0]{tikz-feynman}
\begin{document}

\begin{tikzpicture}
\begin{feynman}

    \vertex (t) at (0,2);
    \vertex (b) at (0,-2);
    \vertex (lt) at (-0.5,1);
    \vertex (lm) at (-1,0);
    \vertex (lb) at (-0.5,-1);
    \vertex (rt) at (0.5,1);
    \vertex (rm) at (1,0);
    \vertex (rb) at (0.5,-1);
    \diagram*{
    (t) -- (lt) -- (lm) -- (lb) -- (b),
    (t) -- (rt) -- (rm) -- (rb) -- (b),
    (lt) -- [gluon] (lb),
    };  
\end{feynman}
\end{tikzpicture}
\end{document}

which produces

I hope the idea is clear enough. This would be adequate for my purposes except that I want the lines to be curved, i.e. this should be two arcs between (t) and (b), not this ugly diamond-shaped thing. I think what I want to do is just draw the two arcs from (t) to (b) and then define some vertices "along the arcs" with which I can make the gluon line, but have struggled to figure out how to do this.

Because this diagram is part of a larger equation of diagrams, I would prefer to use absolute vertex positions for at least (t) and (b).

Answer 1

UPDATE: Flexible answer. You can change the position at will by adjusting .3 and .7 to your needs.

\documentclass{article}
\usepackage{tikz} 
\usetikzlibrary{decorations.markings}
\usepackage[compat=1.1.0]{tikz-feynman}
\begin{document}

\begin{tikzpicture}
\draw[postaction={decorate,
decoration={markings,mark=at position .3 with {\coordinate (lt);},
mark=at position .7 with {\coordinate (lb);}}}] (0,0) circle (2); 
\begin{feynman}
    \diagram*{
    (lt) -- [gluon] (lb),
    };  
\end{feynman}
\end{tikzpicture}
\end{document}

ORIGINAL ANSWER: (Just in case someone wants to do this within a diagram of tikz-feynman. You can work with quarter right. Then some of your vertices become unnecessary.

\documentclass{article}
\usepackage{tikz} 
\usepackage[compat=1.1.0]{tikz-feynman}
\begin{document}

\begin{tikzpicture}
\begin{feynman}

    \vertex (lt) at (-0.5,1);
    \vertex (lb) at (-0.5,-1);
    \vertex (rt) at (0.5,1);
    \vertex (rb) at (0.5,-1);
    \diagram*{
    (lt) --[quarter right]  (lb) --[quarter right] (rb)
    -- [quarter right] (rt) -- [quarter right] (lt),
    (lt) -- [gluon] (lb),
    };  
\end{feynman}
\end{tikzpicture}
\end{document}