A heat kernel plus background field method computes gauge-invariant beta functions and anomalous dimensions without diagrams by treating open and closed derivatives consistently.
Avramidi,Heat kernel approach in quantum field theory,Nucl
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
abstract
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.
citation-role summary
background 1
citation-polarity summary
years
2026 2verdicts
UNVERDICTED 2roles
background 1polarities
background 1representative citing papers
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.
citing papers explorer
-
Background Fields Meet the Heat Kernel: Gauge Invariance and RGEs without diagrams
A heat kernel plus background field method computes gauge-invariant beta functions and anomalous dimensions without diagrams by treating open and closed derivatives consistently.
-
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.