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Note on triangle anomaly with improved momentum cutoff

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abstract

A Lorentz and gauge symmetry preserving regularization method has been proposed recently in 4 dimension based on Euclidean momentum cutoff. It is shown that the triangle anomaly can be calculated unambiguously with this new improved cutoff. The anticommutator of \gamma^{5} and \gamma^{\mu} multiplied by five gamma is proportional to terms that do not vanish under a divergent loop-momentum integral, but cancel otherwise.

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2024 1

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Gauge invariance and generalised $\eta$ regularisation

hep-th · 2024-12-16 · conditional · novelty 6.0

An extended η-regularisation formalism unifies dimensional, denominator, and Schwinger-proper-time regularisation as solutions of gauge consistency conditions, and reproduces the chiral anomaly when implemented with the trace kept inside the integral.

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  • Gauge invariance and generalised $\eta$ regularisation hep-th · 2024-12-16 · conditional · none · ref 31 · internal anchor

    An extended η-regularisation formalism unifies dimensional, denominator, and Schwinger-proper-time regularisation as solutions of gauge consistency conditions, and reproduces the chiral anomaly when implemented with the trace kept inside the integral.