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Heat Kernel Approach in Quantum Field Theory
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We give a short overview of the effective action approach in quantum field theory and quantum gravity and describe various methods for calculation of the asymptotic expansion of the heat kernel for second-order elliptic partial differential operators acting on sections of vector bundles over a compact Riemannian manifold. We consider both Laplace type operators and non-Laplace type operators on manifolds without boundary as well as Laplace type operators on manifolds with boundary with oblique and non-smooth boundary conditions.
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Cited by 2 Pith papers
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Higher-dimensional operators and Polyakov loop in hot Scalar QED from the heat kernel
Computes dimension-six operators in finite-temperature massive scalar QED via heat kernel methods and evaluates their combined effect with the Polyakov loop on first-order phase transition thermodynamics.
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Gauge Choices, Infrared Pitfalls, and Thermal Effects in Effective Potentials
Including a multiplicative anomaly or using the Heat Kernel method makes the one-loop effective potential in the Fermi gauge independent of the gauge parameter and improves its infrared behaviour, also at finite temperature.
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