nLab
Weil reciprocity law

Weil reciprocity is a theorem of André Weil about the quotient field $K(C)$ of an algebraic curve $C$ over an algebraically closed field $K$.

• Askold Khovanskii, Logarithmic functional and the Weil reciprocity law, pdf
• enclyclo.co.uk Weil reciprocity law

The following 2 articles make parallel between some notions of QFT and of number theory and in particular about the analogy between the Weil reciprocity law for function fields and the Takahashi-Ward identities of quantum field theory:

• Leon Takhtajan, Quantum field theories on algebraic curves and A. Weil reciprocity law, arxiv/0812.0169; Quantum field theories on an algebraic curve, pdf, 2000