Deconfinement of classical Yang-Mills color fields in a disorder potential

Abstract

We study numerically and analytically the behavior of classical Yang-Mills color fields in a random one-dimensional potential described by the Anderson model with disorder. Above a certain threshold the nonlinear interactions of Yang-Mills fields lead to chaos and deconfinement of color wavepackets with their subdiffusive spreading in space. The algebraic exponent of the second moment growth in time is found to be in a range of 0.3 to 0.4. Below the threshold color wavepackets remain confined even if a very slow spreading at very long times is not excluded due to subtle nonlinear effects and the Arnold diffusion for the case when initially color packets are located in a close vicinity. In a case of large initial separation of color wavepackets they remain well confined and localized in space. We also present comparison with the behavior of the one-component field model of discrete Anderson nonlinear Schrödinger equation with disorder.

arXiv comment9 pages, 9 figures

References in corpus (21)

• Anderson Transitions
• Random matrix theory and spectral sum rules for the Dirac operator in QCD
• Destruction of Anderson localization by a weak nonlinearity
• A Bose-Einstein condensate in a random potential
• Delocalization of wave packets in disordered nonlinear chains
• Observation of subdiffusion of a disordered interacting system
• Delocalization induced by nonlinearity in systems with disorder
• Spreading of wave packets in disordered systems with tunable nonlinearity
• Deconfinement transition in SU(2) Yang-Mills theory: A two-loop study
• Universal Nonlinear Disordered Wave Packet Subdiffusion: 12 Decades
• Strong and weak chaos in weakly nonintegrable many-body Hamiltonian systems
• Out-of-time-order correlator in coupled harmonic oscillators
• Energy Spreading in Strongly Nonlinear Disordered Lattices
• Forced Tunneling and Turning State Explosion in Pure Yang-Mills Theory
• Kinetic theory of nonlinear diffusion in a weakly disordered nonlinear Schrödinger chain in the regime of homogeneous chaos
• Chaos and localization in the Discrete Nonlinear Schrödinger Equation
• Destruction of Anderson localization by nonlinearity in kicked rotator at different effective dimensions
• Eigenfunction structure and scaling of two interacting particles in the one-dimensional Anderson model
• Quasi-integrable systems are slow to thermalize but may be good scramblers
• Diffusion and localization for the Chirikov typical map
• The smallest matrix black hole model in the classical limit