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The effect of memory on relaxation in a scalar field theory
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The effect of memory on relaxation in a scalar field theory
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We derive a kinetic equation with a non-Markovian collision term which includes a memory effect, from Kadanoff-Baym equations in $\phi^4$ theory within the three-loop level for the two-particle irreducible (2PI) effective action. The memory effect is incorporated into the kinetic equation by a generalized Kadanoff-Baym ansatz.Based on the kinetic equations with and without the memory effect, we investigate an influence of this effect on decay of a single particle excitation with zero momentum in 3+1 dimensions and the spatially homogeneous case. Numerical results show that, while the time evolution of the zero mode is completely unaffected by the memory effect due to a separation of scales in the weak coupling regime, this effect leads first to faster relaxation than the case without it and then to slower relaxation as the coupling constant increases.
Forward citations
Cited by 1 Pith paper
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Nonequilibrium approach to heavy-quark transport
Heavy-quark transport in quark-gluon plasma is derived from the Kadanoff-Baym equation; off-shell and memory effects reduce scattering rates and slow relaxation.
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