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- W2964239197 abstract "The real time evolution of field condensates is solved for small and large field amplitudes in scalar theories. For small amplitudes, the quantum equations of motion for the conden- sate can be linearized and solved by Laplace transform. The late time evolution turns to be determined by the singularities in the complex plane (one-particle poles, two- and multi- par- ticle cuts, Landau cuts for non-zero initial temperature). In hot scalar electrodynamics, we solve the real time evolution of field condensates with soft length scalesk 1 > (eT) 1 . We rederive the HTL effective action using the techniques of non-equilibrium field theory for small amplitude condensates. We find that transverse gauge invariant condensates relax as 1/t 2 and longitudinal condensates associated with plasmon (charge density) excitations relax with 1/(t log 2 t) behavior to asymptotic amplitudes that are determined by the quasi- particle poles. In the nonlinear regime (for large initial energy densi- ties) we analyze the dynamics of dissipation and relaxation in the unbroken symmetry phase of scalar theory after linear unstabilities (parametric) are shut-off by the quantum back- reaction. A new time scale emerges that separates the linear from the non-linear regimes. This scale is non-perturbative in the coupling and initial amplitude. The non-perturbative evolution is studied within the context of the O(N) vector model in the large N limit. A combination of numerical anal- ysis and the implementation of a dynamical renormalization group resummation via multi-time scale analysis reveals the presence of unstable bands in the nonlinear regime. These are associated with power law growth of quantum fluctuations, that result in power law relaxation and dissipation with non- universal and non-perturbative dynamical anomalous exponents." @default.
- W2964239197 created "2019-07-30" @default.
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- W2964239197 date "1998-01-01" @default.
- W2964239197 modified "2023-10-16" @default.
- W2964239197 title "NON-EQUILIBRIUM REAL-TIME DYNAMICS OF QUANTUM FIELDS: LINEAR AND NON-LINEAR RELAXATION IN SCALAR AND GAUGE THEORIES" @default.
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- W2964239197 hasPublicationYear "1998" @default.
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