Preprint
Sep 2026
BCS Gap Equation on Riemannian Manifolds: A Heat Kernel Analysis
In this paper, we investigate the Bardeen-Cooper-Schrieffer (BCS) theory of superconductivity formulated on a three dimensional Riemannian manifold. We derive the gap equation in the path integral picture by employing a Hubbard-Stratonovich transformation followed by a saddle point approximation. Under the assumption t...
L. Akant, Emine Ertuğrul, O. Turgut
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