A heat kernel plus background field method computes gauge-invariant beta functions and anomalous dimensions without diagrams by treating open and closed derivatives consistently.
DeWitt,Quantum Theory of Gravity
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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.
- Quantum Liouville Cosmology