Quantum gravity contributions to the beta functions of gauge and Yukawa couplings are derived via the Schwinger proper-time flow equation; their dependence on gauge fixing and regulators is quantified at gravity's interactive fixed point and compared with other schemes.
Simplified functional flow equation
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Operator PIRGs complete the prior PIRG method by enabling computation of all correlation functions, demonstrated analytically in zero-dimensional phi^4 theory via vertex expansion to ten-point functions.
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Quantum gravity contributions to the gauge and Yukawa couplings in proper time flow
Quantum gravity contributions to the beta functions of gauge and Yukawa couplings are derived via the Schwinger proper-time flow equation; their dependence on gauge fixing and regulators is quantified at gravity's interactive fixed point and compared with other schemes.
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Physics-informed operator flows and observables
Operator PIRGs complete the prior PIRG method by enabling computation of all correlation functions, demonstrated analytically in zero-dimensional phi^4 theory via vertex expansion to ten-point functions.