Quantum heat traces

DOI10.1016/j.geomphys.2016.11.020zbMath1354.58021arXiv1611.03760OpenAlexW2558160512WikidataQ62399348 ScholiaQ62399348MaRDI QIDQ502056

Ivan G. Avramidi

Publication date: 29 December 2016

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.03760

zbMATH Keywords

zeta functionheat kernelspectral asymptoticselliptic operatorsspectral invariantsheat trace

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Determinants and determinant bundles, analytic torsion (58J52) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Perturbations of PDEs on manifolds; asymptotics (58J37)

Related Items (5)

Virial coefficients expressed by heat kernel coefficients ⋮ Relative spectral invariants of elliptic operators on manifolds ⋮ Bogolyubov invariant via relative spectral invariants on manifolds ⋮ Heat semigroups on Weyl algebra ⋮ Hearing the shape of inequivalent spin structures and exotic Dirac operators

Cites Work

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• Mathematical Tools for Calculation of the Effective Action in Quantum Gravity
• Heat Kernel Method and its Applications
• Green functions of higher-order differential operators
• HEAT KERNEL ASYMPTOTICS FOR ROOTS OF GENERALIZED LAPLACIANS
• A New Explicit Expression for the Korteweg - De Vries Hierarchy
• Heat kernel coefficients for the matrix Schrödinger operator
• A new algebraic approach for calculating the heat kernel in quantum gravity

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