Integrating Gauge Fields in the ζ-Formulation of Feynman’s Path Integral
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Publication:3295290
DOI10.1007/978-3-030-36138-9_15zbMath1442.81052arXiv1902.09926OpenAlexW2916007530MaRDI QIDQ3295290
Publication date: 8 July 2020
Published in: Applied and Numerical Harmonic Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1902.09926
Yang-Mills and other gauge theories in quantum field theory (81T13) Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Path integrals in quantum mechanics (81S40) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Fourier integral operators applied to PDEs (35S30)
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- Ten physical applications of spectral zeta functions.
- Semigroups of linear operators and applications to partial differential equations
- Zeta function regularization of path integrals in curved spacetime
- Zeta-function regularization, the multiplicative anomaly and the Wodzicki residue
- Micro-local approach to the Hadamard condition in quantum field theory on curved space-time
- Reidemeister torsion and the Laplacian on lens spaces
- R-torsion and the Laplacian on Riemannian manifolds
- Zeta-function regularization of quantum field theory
- Effective action for QED4 through ζ function regularization
- Local Zeta Regularization and the Casimir Effect
- Local ζ -functions, stress-energy tensor, field fluctuations, and all that, in curved static spacetime
- On the stress–energy tensor of quantum fields in curved spacetimes—comparison of different regularization schemes and symmetry of the Hadamard/Seeley–DeWitt coefficients
- One-loop stress-tensor renormalization in curved background: The relation between ζ-function and point-splitting approaches, and an improved point-splitting procedure
- Explicit zeta functions for bosonic and fermionic fields on a non-commutative toroidal spacetime†
- Regularizing Feynman path integrals using the generalized Kontsevich-Vishik trace
- Zeta-regularized vacuum expectation values
- Heat kernel coefficients of the Laplace operator on the D-dimensional ball
- Space-Time Approach to Non-Relativistic Quantum Mechanics
