Non-Abelian chiral instabilities at high temperature on the lattice

Abstract

We report on an exploratory lattice study on the phenomenon of chiral instabilities in non-Abelian gauge theories at high temperature. It is based on a recently constructed anomalous Langevin-type effective theory of classical soft gauge fields in the presence of a chiral number density $n_5=n_{\mathrm{R}}-n_{\mathrm{L}}$. Evaluated in thermal equilibrium using classical lattice techniques it reveals that the fluctuating soft fields indeed exhibit a rapid energy increase at early times and we observe a clear dependence of the diffusion rate of topological charge (sphaleron rate) on the the initial $n_5$, relevant in both early universe baryogenesis and relativistic heavy-ion collisions. The topological charge furthermore shows a drift among distinct vacuum sectors, roughly proportional to the initial $n_5$ and in turn the chiral imbalance is monotonously reduced as required by helicity conservation.

35 pages, 13 figures

References in corpus (8)

• The Color Glass Condensate
• Chiral Magnetic and Vortical Effects in High-Energy Nuclear Collisions --- A Status Report
• Some Features of the Glasma
• The Sphaleron Rate in the Minimal Standard Model
• Beam-energy dependence of charge separation along the magnetic field in Au+Au collisions at RHIC
• The Sphaleron Rate in SU(N) Gauge Theory
• Magnetic field production during preheating at the electroweak scale
• Chemical composition of the decaying glasma

Cited by in corpus (10)

• The art of simulating the early Universe -- Part I
• Off-equilibrium sphaleron transitions in the Glasma
• The chiral anomaly, Berry's phase and chiral kinetic theory, from world-lines in quantum field theory
• World-line construction of a covariant chiral kinetic theory
• Chiral effects in astrophysics and cosmology
• Chiral magnetic effect and anomalous transport from real-time lattice simulations
• Quantum chaos, thermalization and entanglement generation in real-time simulations of the BFSS matrix model
• Fluctuation and Dissipation of Axial Charge from Massive Quarks
• Axial Charge Fluctuation and Chiral Magnetic Effect from Stochastic Hydrodynamics
• Proper static potential in classical lattice gauge theory at finite T