Alternative to perturbative renormalization in ( 3 + 1 )-dimensional field theories

Romatschke, Paul

doi:10.1103/PhysRevD.109.116020

Title: Alternative to perturbative renormalization in ( $3 + 1$ )-dimensional field theories

Journal Article · 20 June 2024 · Physical Review. D.

DOI: https://doi.org/10.1103/PhysRevD.109.116020 · OSTI ID:2375906

Romatschke, Paul

Perturbative renormalization provides the bedrock of understanding quantum field theories. In this work, I point out an alternative way of renormalizing quantum field theories, which is naturally encountered and well-known for the case of large $N$ scalar field theories. In terms of bare parameters, this nonperturbative alternative renormalization differs qualitatively from its perturbative cousin: in the continuum limit, the bare coupling constant goes to zero instead of infinity, and there is no wave-function counterterm. Despite these differences, the resulting $n$ -point functions of the theory are finite. I provide explicit results for alternative renormalization for the O(N) model and QCD with $N_{f} = 12$ flavors in $3 + 1$ dimensions. Published by the American Physical Society 2024

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Sponsoring Organization:: USDOE

Grant/Contract Number:: SC0017905

OSTI ID:: 2375906

Journal Information:: Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 11 Vol. 109; ISSN PRVDAQ; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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