Interacting Quantum Fields in Curved Space: Renormalizability of φ⁴

1997/01/21 by Romeo Brunetti, Klaus Fredenhagen, Brunetti, R. +1
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Mathematics #FOS: Physical sciences #Functional Analysis (math.FA) #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.gr-qc/9701048

openalex publication_date 1997/01/21 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28

Abstract

We present a perturbative construction of the φ⁴ model on a smooth globally hyperbolic space-time. Our method relies on a adaptation of the Epstein and Glaser method of renormalization to curved space-times using techniques from microlocal analysis.

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