In small lattice lambda phi^4 theory, a highly occupied coherent field produces particles and relaxes to the diagonal-ensemble values for a finite time before quantum recurrences appear, and the dynamics maps efficiently onto quantum circuits.
Gauge-fixing dependence of Phi-derivable approximations
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abstract
We examine the problem of gauge dependence of the 2PI effective action and its Phi-derivable approximations in gauge theories. The dependence on the gauge-fixing condition is obtained. The result shows that Phi-derivable approximations, defined as truncations of the 2PI effective action at a certain order, have a controlled gauge dependence, i.e. the gauge dependent terms appear at higher order than the truncation order. Furthermore, using the stationary point obtained for the approximation to evaluate the complete 2PI effective action boosts the order at which the gauge dependent terms appear to twice the order of truncation. We also comment on the significance of this controlled gauge dependence.
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Particle Production, Equilibration, and Quantum Recurrences from Classical Fields
In small lattice lambda phi^4 theory, a highly occupied coherent field produces particles and relaxes to the diagonal-ensemble values for a finite time before quantum recurrences appear, and the dynamics maps efficiently onto quantum circuits.