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arXiv:2509.11375·v3·High Energy Physics — Theory

QCD Effective Lagrangian and Condensation of Chromomagnetic Flux Tubes

George Savvidy🇬🇷

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Abstract

We compute the effective action for covariantly constant gauge fields that are solutions of the sourceless Yang-Mills equation and have the form of magnetic flux tubes. They represent a superposition of infinite many alternating monopole/ani-monopole pairs situated at infinity, with each pair having a structure similar to the Nielsen-Olesen magnetic flux tube. The chromomagnetic flux tubes condensation is stable and indicates that the Yang-Mills vacuum state is highly degenerate.

Comments: 51 pages, 3 figures, references and appendix added, improved presentation

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