Journal Article

FZJ-2026-04485

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Critical coupling in $\phi^4_2$ theory

Dürr, S. (Corresponding author)FZJ* ; Kiel, T. S. H.

2026
American Physical Society Ridge, NY

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Please use a persistent id in citations: doi:10.1103/jx2b-kxwc  doi:10.34734/FZJ-2026-04485

Abstract: We consider $ϕ^4$ theory with $ϕ(x)\in\mathbb{R}$ in two Euclidean dimensions. We determine for a variety of self-couplings $\hatλ$ the (negative) critical bare mass $\hatμ_{0\mathrm{c}}^2(\hatλ)$ where the lattice-regularized system changes from the symmetric to the broken phase. Based on these data, the transition to infinite volume and a universal scheme with the renormalized parameter $\hatμ_\mathrm{c}^2(\hatλ)$ is made. Finally, $f_\mathrm{c}=\lim_{\hatλ\to0}\hatλ/\hatμ_\mathrm{c}^2(\hatλ)$ is determined, with a judicious choice of the parameterizations considered. Our final result reads $f_\mathrm{c}=11.1097(20)_\mathrm{stat}(09)_\mathrm{sys}=11.1097(22)_\mathrm{tot}$.

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Contributing Institute(s):

1. Jülich Supercomputing Center (JSC)

Research Program(s):

1. 5111 - Domain-Specific Simulation & Data Life Cycle Labs (SDLs) and Research Groups (POF4-511) (POF4-511)

Appears in the scientific report 2026

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Database coverage:
; ; ; ; Clarivate Analytics Master Journal List ; Current Contents - Electronics and Telecommunications Collection ; Current Contents - Physical, Chemical and Earth Sciences ; Ebsco Academic Search ; Essential Science Indicators ; IF >= 5 ; JCR ; SCOAP3 sponsored Journal ; SCOPUS ; Science Citation Index Expanded ; Web of Science Core Collection

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