Perturbative Quantum Consistency of the Axis Model Effective Field Theory: BRST Structure, Gauge Interfaces, and Renormalization Benchmarks
Andrew Morton · Public preprint · Perturbative EFT consistency
Tests perturbative quantum consistency of an explicitly declared effective theory, including its gauge fixing, anomalies and photon.
Abstract
We formulate a conditional perturbative quantum-consistency interface for an explicitly specified Axis Model effective field theory (EFT). On a clock-admissible coherent branch the complex coherence scalar is neutral under the screened U(1)_G, its compact phase defines the temporal coframe, and an independent Stückelberg field supplies the gauge-invariant screened-vector combination. Introducing a Nakanishi–Lautrup auxiliary field gives an exactly off-shell nilpotent BRST differential and a BRST-exact gauge-fixing action. Anomaly cancellation is tested directly for declared chiral representations, with the required weak and color spectator multiplicities; scalar-bundle triviality does not determine the fermion determinant-line anomaly. A conditional projector/frame connection has the correct inhomogeneous gauge transformation, but its physical coupling requires an independently normalized complete action-level source-Gram operator. The imported electroweak sector contains exactly one photon null pole, while an assumed collective doublet and stiffness reproduce the usual mass matrix only conditionally. Five ultraviolet boundaries are distinguished, and neither a numerical control scale nor the value of the Parent-matching scale is selected. A separate, holdout-free numerical notebook checks standard one-loop running for manifestly synthetic initial data on a dimensionless fixed-content integration interval. The resulting theorem surface consists of conditional off-shell BRST consistency, correctly typed gauge interfaces, and a finite-interval renormalization benchmark. Microscopic matter quantization, ultraviolet completion, electroweak-sector derivation, and predictions of measured observables remain independent interfaces.
Scope
The results establish conditional BRST consistency and renormalization benchmarks for the specified fields and representations. They leave microscopic matter quantization, physical electroweak source selection and ultraviolet completion to separate work.
Paper and supporting files
The Zenodo deposit includes the manuscript and notebooks. The running calculation uses synthetic inputs on a dimensionless interval with fixed field content.
Read the current paper and supporting files on Zenodo
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Effective field theory and renormalization