Numerical study of chiral plasma instability within the classical statistical field theory approach

Understand

We report on a numerical study of real-time dynamics of electromagnetically interacting chirally imbalanced lattice Dirac fermions within the classical statistical field theory approach.

• Namely, we perform exact simulations of the real-time quantum evolution of fermionic fields coupled to classical electromagnetic fields, which are in turn coupled to the vacuum expectation value of the fermionic electric current.
• We use Wilson-Dirac Hamiltonian for fermions, and non-compact action for the gauge field.
• In general, we observe that the backreaction of fermions on the electromagnetic field prevents the system from acquiring chirality imbalance.