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Exact Schwinger Proper Time Renormalisation

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arxiv 2311.12102 v2 pith:ZPFRX4LJ submitted 2023-11-20 hep-th hep-ph

Exact Schwinger Proper Time Renormalisation

Steven Abel , Lucien Heurtier This is my paper
classification hep-th hep-ph
keywords equationflowexactrenormalisationgroupproperschwingertime
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We derive an exact version of the Schwinger Proper Time Renormalisation Group flow equation from first principles from the complete path integral, without using any perturbative expansion. We study the advantages of this flow equation as compared to the canonical Exact Renormalisation Group flow equation, which uses a regulator in momentum space. We use our flow equation to recover the convexity of the effective scalar potential in the IR limit and apply it to the study of false-vacuum decay.

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Cited by 4 Pith papers

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    A minimal proper time τ_min is introduced into QFT to suppress high-energy modes, achieve asymptotic safety via dimensional reduction, and allow a deterministic regime near the Planck scale.