= Scalar field path integral
{title2=$Z[J]=\int\mathcal D\phi\,e^{i(S[\phi]+\int J\phi)}$}
= Scalar field functional integral
{synonym}
The <scalar field path integral> generalizes the <configuration-space path integral> by replacing finitely many coordinates with field values. Its regulated measure integrates one field variable at every spacetime lattice point. Fixed boundary fields give transition kernels; vacuum boundary conditions and sources give the <normalized vacuum generating functional>.
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