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Denominator Regularization in Quantum Field Theory

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arxiv 2209.02820 v1 pith:ZTXM2UYF submitted 2022-09-06 hep-th cond-mat.stat-mechhep-phnucl-th

classification hep-thcond-mat.stat-mechhep-phnucl-th
keywords regularizationfieldmaintainsspacetimestheorydenominatorinvariancequantum
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We propose a novel regularization scheme in quantum field theory, denominator regularization (den reg). As simple to apply as dimensional regularization, and similarly compatible with a minimal subtraction renormalization scheme, den reg manifestly 1) maintains Lorentz invariance, 2) maintains gauge invariance, 3) maintains supersymmetry, 4) correctly predicts the axial anomaly, and 5) yields Green functions that satisfy the Callan-Symanzik equation. Den reg also naturally enables regularization in asymmetric spacetimes, finite spacetimes, curved spacetimes, and in thermal field theory.

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  1. Gauge invariance and generalised $\eta$ regularisation

    hep-th 2024-12 conditional novelty 6.0 of 10

    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 t...

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