On functional determinants of matrix differential operators with multiple zero modes

DOI10.1088/1751-8121/aa9205zbMath1380.81119arXiv1703.07329OpenAlexW3099363385MaRDI QIDQ4600916

G. M. Falco, Ilya A. Gruzberg, Andrei A. Fedorenko

Publication date: 18 January 2018

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.07329

zbMATH Keywords

instantonsfunctional determinantsmatrix differential operators

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Linear ordinary differential equations and systems (34A30) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (7)

On precision holography for the circular Wilson loop in \(AdS_5 \times S^5\) ⋮ Effective computation of traces, determinants, and \(\zeta\)-functions for Sturm-Liouville operators ⋮ Symmetries and zero modes in sample path large deviations ⋮ Deconstructing the Gel'fand-Yaglom method and vacuum energy from a theory space ⋮ Gelfand–Yaglom formula for functional determinants in higher dimensions ⋮ Exact results for the finite time thermodynamic uncertainty relation ⋮ Spectral \(\zeta\)-functions and \(\zeta\)-regularized functional determinants for regular Sturm-Liouville operators

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