Controlled nonperturbative dynamics of quantum fields out of equilibrium
✍ Scribed by Jürgen Berges
- Book ID
- 104335079
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 446 KB
- Volume
- 699
- Category
- Article
- ISSN
- 0375-9474
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✦ Synopsis
We compute the nonequilibrium real-time evolution of an O(N)-symmetric scalar quantum field theory from a systematic 1/N expansion of the 2PI effective action to next-to-leading order, which includes scattering and memory effects. In contrast to the standard 1/N expansion of the 1PI effective action, the next-to-leading-order expansion in presence of a possible expectation value for the composite operator leads to a bounded-time evolution where the truncation error may be controlled by higher powers in 1/N. We present a detailed comparison with the leading-order results and determine the range of validity of standard mean-field-type approximations.
We investigate "quench" and "tsunami" initial conditions frequently used to mimic idealized farfrom-equilibrium pion dynamics in the context of heavy-ion collisions. For spatially homogeneous initial conditions, we find three generic regimes, characterized by an early-time exponential damping, a parametrically slow (power-law) behavior at intermediate times, and a late-time exponential approach to thermal equilibrium. The different time scales are obtained from a numerical solution of the time-reversal invariant equations in 1 + 1 dimensions without further approximations. We discuss in detail the out-of-equilibrium behavior of the nontrivial n-point correlation functions as well as the evolution of a particle number distribution and inverse slope parameter.
📜 SIMILAR VOLUMES
We consider the initial value problem and its renormalisation in the framework of the twoparticle-irreducible (2PI) effective action. We argue that in the case of appropriately chosen selfconsistent initial conditions, the counterterms needed to renormalise the system in equilibrium are also suffici