Field theory of a superconductor with repulsion

Superconductivity, the state of zero resistance in metals, involves electrons forming a quantum liquid of pairs. However, here lies a conundrum; electrons repel each other due to the electric force, so why should they bind? The answer to this question was provided a long time ago by Pierre Morel and Phillip Anderson. However, to date, there is no existing generalization of Morel-Anderson theory that gives a comprehensive understanding of the properties of real superconductors. This paper bridges the gap by outlining a path to generalize their theory into a ``quantum field theory''. Surprisingly, this theory is controlled by a unique point in configuration space (``saddle point''). Utilizing mathematical techniques, the authors can exploit this saddle point to reveal insights into superconductor properties, such as the break point in a magnetic field.