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SU(N) Gauge Theories with C-Periodic Boundary Conditions: II. Small Volume Dynamics

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arxiv hep-lat/9210008 v1 pith:IZ6PR5WR submitted 1992-10-07 hep-lat hep-th

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

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The dynamics of SU(N) gauge theories, especially for N=3, in a small C-periodic box are investigated. We identify the fields that mimimize the energy---the torons---and determine which of these ``classical'' vacua are stable quantum mechanically. The stable torons break cubic symmetry, which has interesting consequences on the spectrum. At any of the stable torons there are also quartic modes. Since all C-periodic boundary conditions are gauge-equivalent, we choose a convenient version, for which the quartic modes are constant modes, and compute the effective Hamiltonian to one loop in perturbation theory.

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Cited by 2 Pith papers

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  1. Comparing QCD+QED via full simulation versus the RM123 method: U-spin window contribution to $a_\mu^{\mathrm{HVP}}$

    hep-lat 2025-06 accept novelty 6.0 of 10

    At fixed lattice spacing and volume with unphysical quark masses, direct QCD+QED simulation and the RM123 perturbative expansion give consistent U-spin window contributions to a_mu^HVP, with the direct simulation abou...

  2. openQ*D code: a versatile tool for QCD+QED simulations

    hep-lat 2019-08 conditional novelty 6.0 of 10

    openQ*D is an open-source lattice code that simulates QCD plus QED with C* boundary conditions and Wilson fermions, extending openQCD and NSPT with new algorithmic features.

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