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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 · 0 citations
Preprint Sep 2026

Renormalization of One-Dimensional Semirelativistic Bosons with Contact Interactions

We study one-dimensional spinless bosons with semirelativistic spinless-Salpeter dispersion and attractive pairwise contact interactions. Because the dispersion becomes linear at large momentum, the contact interaction is marginal by power counting and produces a logarithmic ultraviolet divergence. We construct the ren...

Fatih Erman, O. Turgut · 0 citations

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