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The 4D SU(3) gauge theory with an imaginary theta term

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arxiv 1109.6815 v1 pith:WLXU3TU6 submitted 2011-09-30 hep-lat hep-th

classification hep-lathep-th
keywords thetaimaginaryfirstgaugescalingtermtheoryaccurate
verification ladder T0 review T1 audit T2 compute T3 formal

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We study the scaling behavior of the 4D SU(3) lattice gauge theory in the presence of a theta term, by Monte Carlo simulations computing the topological properties at imaginary theta. The numerical results provide a good evidence of scaling in the continuum limit. The imaginary theta dependence of the ground-state energy turns out to be well described by the first few terms of related expansions around theta=0, providing accurate estimates of the first few coefficients, up to O(theta^6).

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Cited by 5 Pith papers

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

  1. Evidence of a CP broken deconfined phase in 4D SU(2) Yang-Mills theory at $\theta =\pi$ from imaginary $\theta$ simulations

    hep-th 2024-12 conditional novelty 7.0 of 10

    Lattice simulations with analytic continuation suggest that SU(2) Yang-Mills has a deconfined phase with spontaneously broken CP symmetry at theta=pi.

  2. 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.

  3. Scaling flow-based approaches for topology sampling in $\mathrm{SU}(3)$ gauge theory

    hep-lat 2025-10 unverdicted novelty 6.0 of 10

    Out-of-equilibrium simulations with open-to-periodic boundary switching plus a tailored stochastic normalizing flow enable efficient topology sampling in the continuum limit of four-dimensional SU(3) Yang-Mills theory.

  4. Numerical evidence for a CP broken deconfined phase at $\theta =\pi$ in 4D SU(2) Yang-Mills theory through simulations at imaginary $\theta$

    hep-lat 2025-02 conditional novelty 4.0 of 10

    Lattice simulations at imaginary theta give evidence for a CP-broken deconfined phase at theta=pi in 4D SU(2) Yang-Mills, with T_CP close to T_dec(0) and T_dec(pi) below T_dec(0).

  5. The imaginary-$\theta$ dependence of the SU($N$) spectrum

    hep-lat 2024-11 conditional novelty 4.0 of 10

    The theta-squared curvature of the SU(3) glueball mass and string tension is measured in the continuum, and the N=3 and N=6 data support the expected large-N 1/N^2 scaling.

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