Leon A. Takhtajan is a mathematical physicist at SUNY Stony Brook.
Quantum mechanics for mathematicians, Graduate Studies in Mathematics 95, Amer. Math. Soc. 2008.
The following 2 articles make parallel between some notions of quantum field theory 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: