Dynamics of Fermions and Inhomogeneous Bose Fields on a Real-Time Lattice

TL;DR

This paper investigates the real-time dynamics of fermions and inhomogeneous Bose fields in a 1+1 abelian Higgs model using lattice simulations, revealing insights into nonequilibrium behavior, renormalization, and quantum effects.

Contribution

It introduces a large N_f approximation approach to simulate fermion-boson dynamics on a lattice with fermion back reaction included.

Findings

Demonstrates renormalizability in the model

Shows nonequilibrium evolution of fields

Analyzes anomalous charge and Pauli blocking effects

Abstract

The dynamics of the 1+1 abelian Higgs model with fermions is studied in the large N_f approximation, on a real-time lattice. The Bose fields obey effective classical equations of motion which include the fermion back reaction. The dynamics of the quantized fermion field is treated with a mode function expansion. Numerical results are shown for renormalizability, nonequilibrium dynamics and the anomalous charge, and Pauli blocking.