On-shell three-point bootstrap recovers Weyl, chiral, diffeomorphism and Lorentz anomalies up to constant prefactors and reproduces gauge-anomaly cancellation while excluding Pontryagin densities from the Weyl anomaly.
On the trace anomaly of a Weyl fermion
2 Pith papers cite this work. Polarity classification is still indexing.
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abstract
We calculate the trace anomaly of a Weyl fermion coupled to gravity by using Fujikawa's method supplemented by the choice of a consistent regulator. The latter is constructed out of Pauli-Villars regulating fields. The motivation for presenting such a calculation stems from recent studies that suggest that the trace anomaly of chiral fermions in four dimensions might contain an imaginary part proportional to the Pontryagin density. We find that the trace anomaly of a Weyl fermion is given by half the trace anomaly of a Dirac fermion, so that no imaginary part proportional to the Pontryagin density is seen to arise.
fields
hep-th 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Up to order four in graviton fields the effective action for a massless chiral fermion is parity-even and equals half the corresponding action for a non-chiral Dirac fermion, with the Weyl anomaly likewise parity-even and halved.
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Quantum anomalies from three-point on-shell bootstrap
On-shell three-point bootstrap recovers Weyl, chiral, diffeomorphism and Lorentz anomalies up to constant prefactors and reproduces gauge-anomaly cancellation while excluding Pontryagin densities from the Weyl anomaly.
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The effective gravitational action of a massless chiral fermion and the absence of parity-odd contributions
Up to order four in graviton fields the effective action for a massless chiral fermion is parity-even and equals half the corresponding action for a non-chiral Dirac fermion, with the Weyl anomaly likewise parity-even and halved.