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.
Trace anomalies in chiral theories revisited
2 Pith papers cite this work. Polarity classification is still indexing.
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abstract
Motivated by the search for possible CP violating terms in the trace of the energy-momentum tensor in theories coupled to gravity we revisit the problem of trace anomalies in chiral theories. We recalculate the latter and ascertain that in the trace of the energy-momentum tensor of theories with chiral fermions at one-loop the Pontryagin density appears with an imaginary coefficient. We argue that this may break unitarity, in which case the trace anomaly has to be used as a selective criterion for theories, analogous to the chiral anomalies in gauge theories. We analyze some remarkable consequences of this fact, that seem to have been overlooked in the literature.
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.
citing papers explorer
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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.