In 1D lattice Schwinger and NJL models, single-particle momentum distributions dominate two-particle correlations once thermal kinetic energy becomes comparable to the interaction strength, supporting applicability of kinetic theory.
Momentum Lattice Simulation on a Small Lattice Using Stochastic Quantization
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abstract
We have studied the scalar $\phi^4$-model in the symmetric phase and the non--compact $U(1)$ gauge theory on a momentum lattice using the Langevin equation for generating configurations. In the $\phi^4$-model we have analyzed the renormalized mass and in the $U(1)$-model we have analyzed the Wilson loop operator. We used a second order algorithm for solving the Langevin equation, and we looked for the convergence rate of the method. We studied the stochastic time needed to generate equilibrium configurations and compared first and second order schemes for both models.
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Applicability of kinetic theory in strongly coupled thermal quantum systems
In 1D lattice Schwinger and NJL models, single-particle momentum distributions dominate two-particle correlations once thermal kinetic energy becomes comparable to the interaction strength, supporting applicability of kinetic theory.