# nLab Weil reciprocity law

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

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

Created on July 25, 2011 20:11:50 by Zoran Škoda (212.91.117.206)