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New proposal for numerical simulations of theta-vacuum like systems

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arxiv hep-lat/0203017 v2 pith:6RUAY7D2 submitted 2002-03-15 hep-lat cond-mathep-th

classification hep-latcond-mathep-th
keywords approachlikenumericalsimulationssystemstheta-vacuumanalyticalanalytically
verification ladder T0 review T1 audit T2 compute T3 formal
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We propose a new approach to perform numerical simulations of theta-vacuum like systems, test it in two analytically solvable models, and apply it to CP^3. The main new ingredient in our approach is the method used to compute the probability distribution function of the topological charge at theta=0. We do not get unphysical phase transitions (flattening behavior of the free energy density) and reproduce the exact analytical results for the order parameter in the whole theta-range within a few percent.

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Cited by 2 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. 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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