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Exact Schwinger Proper Time Renormalisation

2023/11/20 by Steven Abel, Abel, Steven, Lucien Heurtier +1 · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Exact solutions in general relativity #FOS: Physical sciences #Flow (mathematics) #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Momentum (technical analysis) #Particle physics theoretical and experimental studies #Path integral formulation #Physics #Quantum #Quantum mechanics #Scalar (mathematics)

paper · pdf · doi:10.48550/arxiv.2311.12102

openalex publication_date 2023/11/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

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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