Spontaneous violation of CP symmetry in the strong interactions

Michael Creutz

Spontaneous violation of CP symmetry in the strong interactions

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arxiv hep-lat/0312018 v2 pith:P5BKWQ2M submitted 2003-12-11 hep-lat hep-phhep-th

Michael Creutz This is my paper · ORCID

classification hep-lathep-phhep-th

keywords interactionssomespontaneousstrongviolationclosedashendomain

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Some time ago Dashen pointed out that spontaneous CP violation can occur in the strong interactions. I show how a simple effective Lagrangian exposes the remarkably large domain of quark mass parameters for which this occurs. I close with some warnings for lattice simulations.

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First-order CP phase transition in two-flavor QCD at $\theta = \pi$ under electromagnetic scale anomaly via a Nambu-Jona-Lasinio description
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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