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We derive the nonequilibrium real-time evolution of an O(N) - invariant scalar quantum field theory in the presence of a nonvanishing expectation value of the quantum field. Using a systematic 1/N expansion of the 2PI effective action to…

High Energy Physics - Phenomenology · Physics 2010-02-04 G. Aarts , D. Ahrensmeier , R. Baier , J. Berges , J. Serreau

Nonequilibrium dynamics in quantum field theory has been studied extensively using truncations of the 2PI effective action. Both 1/N and loop expansions beyond leading order show remarkable improvement when compared to mean-field…

High Energy Physics - Theory · Physics 2008-11-26 Gert Aarts , Anders Tranberg

We consider the time evolution of nonequilibrium quantum scalar fields in the O(N) model, using the next-to-leading order 1/N expansion of the 2PI effective action. A comparison with exact numerical simulations in 1+1 dimensions in the…

High Energy Physics - Phenomenology · Physics 2010-02-04 Gert Aarts , Jurgen Berges

We calculate the far-from-equilibrium dynamics and thermalization both for the quantum and the classical O(N)--model. The early and late-time behavior can be described from the 2PI--loop expansion for weak couplings or the nonperturbative…

High Energy Physics - Phenomenology · Physics 2009-11-07 J. Berges

The 1/N expansion of the two-particle irreducible effective action offers a powerful approach to study quantum field dynamics far from equilibrium. We investigate the effective convergence of the 1/N expansion in the O(N) model by comparing…

High Energy Physics - Phenomenology · Physics 2009-01-08 Gert Aarts , Nathan Laurie , Anders Tranberg

We consider the nonequilibrium evolution of an O(N)-symmetric scalar quantum field theory using a systematic two-particle irreducible 1/N-expansion to next-to-leading order, which includes scattering and memory effects. The corresponding…

High Energy Physics - Phenomenology · Physics 2017-08-23 J. Berges , M. M. Muller

We investigate the out-of-equilibrium evolution of a classical background field and its quantum fluctuations in the scalar O(N) model with spontaneous symmetry breaking. We consider the 2-loop 2PI effective action in the Hartree…

High Energy Physics - Phenomenology · Physics 2007-05-23 Stefan Michalski

We present kinetic equations that describe the evolution of O(N)-symmetric real scalar quantum fields out of thermal equilibrium in a systematic nonperturbative approximation scheme. This description starts from the 1/N-expansion of the 2PI…

High Energy Physics - Phenomenology · Physics 2007-05-23 Markus Michael Muller

Nonperturbative dynamics of quantum fields out of equilibrium is often described by the time evolution of a hierarchy of correlation functions, using approximation methods such as Hartree, large N, and nPI-effective action techniques. These…

High Energy Physics - Phenomenology · Physics 2008-11-26 Gert Aarts , Gian Franco Bonini , Christof Wetterich

The nonperturbative real-time evolution of quantum fields out of equilibrium is often solved using a mean-field or Hartree approximation or by applying effective action methods. In order to investigate the validity of these truncations, we…

High Energy Physics - Phenomenology · Physics 2017-08-23 Gert Aarts

We study the non-equilibrium dynamics of the O(N) model in classical and quantum field theory in 1+1 dimensions, for N > 1. We compare numerical results obtained using the Hartree approximation and two next to leading order approximations,…

High Energy Physics - Phenomenology · Physics 2009-11-10 Bogdan Mihaila

The time evolution of O(N) symmetric lambda Phi^4 scalar field theory is studied in the large N limit. In this limit the <Phi> mean field and two-point correlation function <Phi Phi> evolve together as a self-consistent closed Hamiltonian…

High Energy Physics - Phenomenology · Physics 2016-09-06 Fred Cooper , Salman Habib , Yuval Kluger , Emil Mottola

We study a quantum dynamical system of N, O(N) symmetric, nonlinear oscillators as a toy model to investigate the systematics of a 1/N expansion. The closed time path (CTP) formalism melded with an expansion in 1/N is used to derive time…

High Energy Physics - Phenomenology · Physics 2009-10-31 Bogdan Mihaila , Tara Athan , Fred Cooper , John Dawson , Salman Habib

We consider the out-of-equilibrium evolution of a classical condensate field and its quantum fluctuations for a scalar O(N) model with spontaneously broken symmetry. In contrast to previous studies we do not consider the large N limit, but…

High Energy Physics - Phenomenology · Physics 2014-11-17 J. Baacke , S. Michalski

Calculations of nonequilibrium processes become increasingly feasable in quantum field theory from first principles. There has been important progress in our analytical understanding based on 2PI generating functionals. In addition, for the…

High Energy Physics - Theory · Physics 2010-02-04 J. Berges , Sz. Borsanyi

I review the use of the 2PI effective action in nonequilibrium quantum field theory. The approach enables one to find approximation schemes which circumvent long-standing problems of non-thermal or secular (unbounded) late-time evolutions…

High Energy Physics - Phenomenology · Physics 2017-08-23 J. Berges

We propose to study the non-equilibrium features of heavy-ion collisions by following the evolution of an initial state with a large number of quanta with a distribution around a momentum |\vec k_0| corresponding to a thin spherical shell…

High Energy Physics - Phenomenology · Physics 2011-04-15 Daniel Boyanovsky , Hector J. de Vega , Richard Holman , S. Prem Kumar , Robert D. Pisarski

This work is devoted to the study of relaxation--dissipation processes in systems described by Quantum Field Theory. In the first part, I focus on the phi^4 scalar quantum field theory in finite volume in the large N limit. I find that the…

High Energy Physics - Phenomenology · Physics 2007-05-23 E. Manfredini

We study the out-of-equilibrium evolution of an O(2)-invariant scalar field in which a conserved charge is stored. We apply a loop expansion of the 2-particle irreducible effective action to 3-loop order. Equations of motion are derived…

High Energy Physics - Phenomenology · Physics 2009-11-10 D. J. Bedingham

Quantum systems in extreme conditions can exhibit universal behavior far from equilibrium associated to nonthermal fixed points with a wide range of topical applications from early-universe inflaton dynamics and heavy-ion collisions to…

High Energy Physics - Phenomenology · Physics 2025-01-27 Jürgen Berges , Benjamin Wallisch
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