Diagram technique for the heat kernel of the covariant Laplace operator

DOI10.1134/S0040577919010070zbMath1419.81033arXiv1905.05455MaRDI QIDQ2313822

A. V. Ivanov

Publication date: 23 July 2019

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

Full work available at URL: https://arxiv.org/abs/1905.05455

zbMATH Keywords

operator determinantYang-Mills theoryheat kernelgauge connectiondiagram techniquecovariant Laplace operatorSeeley-Dewitt coefficient

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Yang-Mills and other gauge theories in quantum field theory (81T13) Feynman diagrams (81T18) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20) Heat kernel (35K08)

Related Items (8)

Ordered exponential and its features in Yang–Mills effective action ⋮ Zero modes of the Laplace operator in two-loop calculations in the Yang-Mills theory ⋮ Heat kernel: proper-time method, Fock-Schwinger gauge, path integral, and Wilson line ⋮ Quantum equation of motion and two-loop cutoff renormalization for \(\varphi^3\) model ⋮ Hadamard renormalization for a charged scalar field ⋮ On the application of the matrix formalism for the heat kernel to number theory ⋮ Atiyah–Patodi–Singer index theorem for domain walls ⋮ Explicit Cutoff Regularization in Coordinate Representation

Cites Work

• Spectral action beyond the weak-field approximation
• Heat kernel on homogeneous bundles over symmetric spaces
• The spectral geometry of a Riemannian manifold
• Heat kernel expansion: user's manual
• Renormalization scenario for the quantum Yang-Mills theory in four-dimensional space-time
• Three-loop Yang-Mills \(\beta\)-function via the covariant background field method
• Curvature and the eigenvalues of the Laplacian
• b ₈ 'Hamidew' coefficient for a scalar field
• Index-free heat kernel coefficients
• Quantum Theory of Gravity. I. The Canonical Theory
• Quantum Theory of Gravity. II. The Manifestly Covariant Theory
• On Gauge Invariance and Vacuum Polarization

This page was built for publication: Diagram technique for the heat kernel of the covariant Laplace operator