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Theta Dependence In The Large N Limit Of Four-Dimensional Gauge Theories

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arxiv hep-th/9807109 v1 pith:AGVUJ5E3 submitted 1998-07-15 hep-th

classification hep-th
keywords thetagaugelargetheoriesdualitylimitvacuaadjacent
verification ladder T0 review T1 audit T2 compute T3 formal
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The theta dependent of pure gauge theories in four dimensions can be studied using a duality of large N gauge theories with string theory on a certain spacetime. Via this duality, one can argue that for every theta, there are infinitely many vacua that are stable in the large N limit. The true vacuum, found by minimizing the energy in this family, is a smooth function of theta except at theta equal to pi, where it jumps. This jump is associated with spontaneous breaking of CP symmetry. Domain walls separating adjacent vacua are described in terms of wrapped sixbranes.

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Forward citations

Cited by 11 Pith papers

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

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    hep-lat 2026-06 unverdicted novelty 6.0 of 10

    Lattice computation of Wilson-'t Hooft loops supplies numerical evidence for dyon condensation at theta=2pi in SU(2) Yang-Mills.

  5. 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.

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    In a Parity-symmetric extension of the Standard Model with doublet-pair WIMP dark matter, thermal relic abundance requires the Parity breaking scale to be below 25-60 TeV.

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    hep-ph 2025-02 conditional novelty 6.0 of 10

    In an NJL model, the electromagnetic scale anomaly creates a thermal potential barrier proportional to |eB|^3 |P|/(P^2 + m0^2), making the theta = pi CP transition first order.

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    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).

  11. To Break or Not to Break: A Review of a No-Go Theorem on Chiral Symmetry Breaking in QCD-like Theories

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