Journal Article

FZJ-2026-04103

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Topological susceptibility and excess kurtosis in SU(3) Yang-Mills theory

Dürr, S. (Corresponding author)FZJ* ; Fuwa, G. (Corresponding author)

2026
American Physical Society Ridge, NY

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Please use a persistent id in citations: doi:10.1103/dw3m-vcdm  doi:10.34734/FZJ-2026-04103

Abstract: We present a high-precision study of the topological susceptibility in SU(3) pure gauge theory in four space-time dimensions. The result is based on ensembles at seven lattice spacings and in seven physical volumes to facilitate a controlled continuum and infinite-volume extrapolation. We use a gluonic topological charge measurement, with gradient flow smoothing in the operator. Two complementary smoothing strategies are used (one keeps the flow time fixed in lattice units, one in physical units). Our data support the idea that both strategies yield a universal continuum limit; we find $𝜒^{1/4}_{top}⁢𝑟_0=0.4775⁢(14)⁢(11)$ or $𝜒^{1/4}_{top} =198.1⁢(0.7)⁢(2.7)  MeV$. Our Appendix data suggest that the excess kurtosis $⟨𝑞^4⟩/⟨𝑞^2⟩^2 −3$ decreases $∝𝐿^{−2}$ for large box sizes $𝐿$.

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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:
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