Stability of Yang Mills Vacuum State
arXiv:2203.14656 · doi:10.1016/j.nuclphysb.2023.116187
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.
arXiv comment32 pages, the consideration was extended to include the nonlinear interaction of the zero and negative/unstable modes, improved version, to be published in Nucl.Phys.B
References in corpus (18)
- M Theory As A Matrix Model: A Conjecture
- Fracton Topological Order, Generalized Lattice Gauge Theory and Duality
- Aspects of Electric and Magnetic Variables in SU(2) Yang-Mills Theory
- Quantum mechanical and information theoretic view on classical glass transitions
- Geometrical String and Spin Systems
- Self-Avoiding Gonihedric Srting and Spin Systems
- Interaction Hierarchy
- Slow dynamics of Ising models with energy barriers
- Phase Transition in Lattice Surface Systems with Gonihedric Action
- GEOMETRICAL STRING and DUAL SPIN SYSTEMS
- Low temperature expansion of the gonihedric Ising model
- Mini-BFSS in Silico
- From Heisenberg-Euler Lagrangian to the discovery of chromomagnetic gluon condensation
- Vacua on the Brink of Decay
- On microscopic structure of the QCD vacuum
- Inherent color symmetry of quantum Yang-Mills theory
- Quantum stability of non-linear wave type solutions with intrinsic mass parameter in QCD
- Gauge Field Theory Vacuum and Cosmological Inflation without Scalar Field