Scalar field configuration eigenstate (source code)

= Scalar field configuration eigenstate
{title2=$\widehat\phi(\mathbf x)|\varphi\rangle=\varphi(\mathbf x)|\varphi\rangle$}

= Field configuration eigenstate
{synonym}

A <scalar field configuration eigenstate> assigns eigenvalues of the equal-time field operator at every spatial point. These generalized states play the role of position eigenstates for a system of infinitely many coordinates. Inserting their regulated completeness relations on time slices constructs the <scalar field path integral>.