Hartree quantum fluctuations in 3+1D simulations of the Friedberg-Lee-Sirlin model produce a regime where fluctuations carry significant Noether charge, periodic charge exchange occurs, and some classically stable Q-balls become unstable.
Hydrodynamic scaling from the dynamics of relativistic quantum field theory
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abstract
Hydrodynamic behavior is a general feature of interacting systems with many degrees of freedom constrained by conservation laws. To date hydrodynamic scaling in relativistic quantum systems has been observed in many high energy settings, from cosmic ray detections to accelerators, with large particle multiplicity final states. Here we show first evidence for the emergence of hydrodynamic scaling in the dynamics of a relativistic quantum field theory. We consider a simple scalar $\lambda \phi^4$ model in 1+1 dimensions in the Hartree approximation and study the dynamics of two colliding kinks at relativistic speeds as well as the decay of a localized high energy density region. The evolution of the energy-momentum tensor determines the dynamical local equation of state and allows the measurement of the speed of sound. Hydrodynamic scaling emerges at high local energy densities.
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hep-th 1years
2026 1verdicts
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Quantum-Corrected Q-balls in the Friedberg-Lee-Sirlin Model
Hartree quantum fluctuations in 3+1D simulations of the Friedberg-Lee-Sirlin model produce a regime where fluctuations carry significant Noether charge, periodic charge exchange occurs, and some classically stable Q-balls become unstable.