Combinatorial Quantum Field Theory and the Jacobian Conjecture

In this short review we first recall combinatorial or (0–dimensional) quantum field theory (QFT). We then give the main idea of a standard QFT method, called intermediate and how to apply method reformulation celebrated Jacobian Conjecture on invertibility polynomial systems. This approach establishes related theorem concerning partial elimination variables that implies reduction generic case quadratic one. Note does not imply solving Conjecture, because one needs introduce supplementary parameter for dimension certain linear subspace where system holds.