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Topological susceptibility of SU(N) gauge theories at finite temperature

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arxiv hep-th/0407068 v2 pith:GUYIJOFT submitted 2004-07-09 hep-th hep-lat

classification hep-thhep-lat
keywords topologicalsusceptibilitygaugelarge-ntheoriesfinitelimitphase
verification ladder T0 review T1 audit T2 compute T3 formal

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We investigate the large-N behavior of the topological susceptibility in four-dimensional SU(N) gauge theories at finite temperature, and in particular across the finite-temperature transition at Tc. For this purpose, we consider the lattice formulation of the SU(N) gauge theories and perform Monte Carlo simulations for N=4,6. The results indicate that the topological susceptibility has a nonvanishing large-N limit for T<Tc, as at T=0, and that the topological properties remain substantially unchanged in the low-temperature phase. On the other hand, above the deconfinement phase transition, the topological susceptibility shows a large suppression. The comparison between the data for N=4 and N=6 hints at a vanishing large-N limit for T>Tc.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Topological properties around the Roberge-Weiss transition in $N_f = 2 + 1 + 1$ QCD

    hep-lat 2026-08 conditional novelty 6.0 of 10

    Along the Roberge-Weiss line in 2+1+1 flavor QCD, the topological charge cumulant b2 becomes compatible with the dilute instanton gas value as soon as T exceeds T_RW, like in pure gauge theory.

  2. Confinement in Holographic Theories at Finite Theta

    hep-th 2026-03 unverdicted novelty 6.0 of 10

    Holographic 5D model shows confinement critical temperature falls quadratically with vacuum angle, matches lattice QCD, and allows time-dependent theta to trigger supercooling and altered gravitational-wave spectra.

  3. Anomalies, Topology, and Hadron Structure in QCD

    hep-ph 2026-06 conditional novelty 3.0 of 10

    A review unifying the QCD axial and trace anomalies with vacuum topology, arguing that the proton spin puzzle and the U(1)_A problem are both controlled by topological screening encoded in the susceptibility slope χ′(0).

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