Combinatorial quantum field theory and gluing formula for determinants

DOI10.1007/s11005-015-0744-3zbMath1312.58011arXiv1403.6170OpenAlexW2047319018MaRDI QIDQ2017866

Boris Vertman, Nicolai Reshetikhin

Publication date: 23 March 2015

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.6170

zbMATH Keywords

asymptotic determinantgluing formulazeta-determinantGaussian quantum field theory

Mathematics Subject Classification ID

Continuum limits in quantum field theory (81T27) Determinants and determinant bundles, analytic torsion (58J52)

Related Items (8)

Regularized limit of determinants for discrete tori ⋮ Asymptotics of the determinant of discrete Laplacians on triangulated and quadrangulated surfaces ⋮ Laplace and Dirac operators on graphs ⋮ Determinantal probability measures on Grassmannians ⋮ Spectral zeta functions of graphs and the Riemann zeta function in the critical strip ⋮ The bundle Laplacian on discrete tori ⋮ Spectral zeta function on discrete tori and Epstein-Riemann hypothesis ⋮ Asymptotics for the determinant of the combinatorial Laplacian on hypercubic lattices

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• Burghelea-Friedlander-Kappeler’s gluing formula for the zeta-determinant and its applications to the adiabatic decompositions of the zeta-determinant and the analytic torsion
• The asymptotic determinant of the discrete Laplacian

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