Fermion production from real-time lattice gauge theory in the classical-statistical regime
arXiv:1403.4849 · doi:10.1103/PhysRevD.90.025016
Abstract
We investigate the real-time dynamics of U(1) and SU(N) gauge theories coupled to fermions on a lattice. While real-time lattice gauge theory is not amenable to standard importance sampling techniques, for a large class of time-dependent problems the quantum dynamics can be accurately mapped onto a classical-statistical ensemble. We illustrate the genuine quantum contributions included in this description by giving a diagrammatic representation in a series expansion. The non-perturbative simulation method is then applied to electron-positron production in quantum electrodynamics in three spatial dimensions. We compare to analytic results for constant background field and demonstrate the importance of back-reaction of the produced fermion pairs on the gauge fields.
17 pages, 10 figures, Revised version: minor corrections, PRD Version
References in corpus (10)
- The Color Glass Condensate
- Non-thermal fixed points: effective weak-coupling for strongly correlated systems far from equilibrium
- Schwinger pair production in space- and time-dependent electric fields: Relating the Wigner formalism to quantum kinetic theory
- On the equivalence between the Boltzmann equation and classical field theory at large occupation numbers
- Quantum corrections to the dynamics of interacting bosons: beyond the truncated Wigner approximation
- Bottom-up isotropization in classical-statistical lattice gauge theory
- Quantum versus classical statistical dynamics of an ultracold Bose gas
- UV Cascade in Classical Yang-Mills via Kinetic Theory
- Low-cost fermions in classical field simulations
- The Boltzmann Equation in Classical Yang-Mills Theory
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- The inverse problem for Schwinger pair production
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- Simulating chiral magnetic effect and anomalous transport phenomena in the pre-equilibrium stages of heavy-ion collisions
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