TL;DR
This paper investigates the stability of the Yang-Mills vacuum, showing that nonlinear interactions stabilize chromomagnetic and self-dual vacuum fields, indicating a highly degenerate quantum vacuum state.
Contribution
It demonstrates that nonlinear interactions restore stability to vacuum fields previously considered unstable, revealing the degeneracy of the Yang-Mills vacuum.
Findings
Chromomagnetic vacuum fields are stabilized by nonlinear interactions.
Self-dual covariantly-constant vacuum fields are stable due to zero mode interactions.
Yang-Mills vacuum is a highly degenerate quantum state.
Abstract
We examine the phenomena of the chromomagnetic gluon condensation in the Yang-Mills theory and the problem of stability of the chromomagnetic vacuum fields. The apparent instability of the chromomagnetic vacuum fields is a result of quadratic approximation. The stability is restored when the nonlinear interaction of negative/unstable modes is taken into account in the case of chromomagnetic vacuum fields and the interaction of the zero modes in the case of (anti)self-dual covariantly-constant vacuum fields. All these vacuum fields are stable and indicate that the Yang-Mills vacuum is highly degenerate quantum state.
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Taxonomy
TopicsQuantum Chromodynamics and Particle Interactions · Black Holes and Theoretical Physics · High-Energy Particle Collisions Research