Finite temperature quantum field theory on noncompact domains and application to delta interactions

DOI10.1016/S0034-4877(09)00011-1zbMath1171.81007OpenAlexW2089704599MaRDI QIDQ2270485

Sergio Zerbini, Mauro Spreafico

Publication date: 28 July 2009

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(09)00011-1

zbMATH Keywords

spectral analysis in noncompact domainszeta-regularized functional determinants

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Exactly and quasi-solvable systems arising in quantum theory (81U15) (2)-body potential quantum scattering theory (81U05) Determinants and determinant bundles, analytic torsion (58J52) Statistical thermodynamics (82B30) Neighborhoods of submanifolds (57N40)

Related Items (6)

Local Casimir effect for a scalar field in presence of a point impurity ⋮ On the Casimir effect with \(\delta \)-like potentials, and a recent paper by K. Ziemian (Ann. Henri Poincaré, 2021) ⋮ The zeta-regularized product of odious numbers ⋮ Algebraic approach to Casimir force between two \(\delta\)-like potentials ⋮ The Casimir energy anomaly for a point interaction ⋮ Singular perturbations with boundary conditions and the Casimir effect in the half space

Cites Work

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• The resolvent expansion for second order regular singular operators
• Zeta function regularization of path integrals in curved spacetime
• Zeta-function regularization, the multiplicative anomaly and the Wodzicki residue
• Relative zeta functions, relative determinants and scattering theory
• Heat trace asymptotics defined by transfer boundary conditions
• R-torsion and the Laplacian on Riemannian manifolds
• Derivation of the time-dependent propagator for the three-dimensional Schrodinger equation with one point interaction
• Zeta invariants for sequences of spectral type, special functions and the Lerch formula
• Zeta function regularization for a scalar field in a compact domain
• Green’s-function approach to two- and three-dimensional delta-function potentials and application to the spin-1/2 Aharonov–Bohm problem
• Heat kernel expansion for semitransparent boundaries
• Functional determinants for radial operators
• Spectral analysis of a flat plasma sheet model

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