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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

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

We study the formation of topological defects in nonequilibrium phase transitions of both classical and quantum field theory. We examine three model systems. 1). The phase transition of a quantum scalar field in a FRW universe is analyzed…

High Energy Physics - Phenomenology · Physics 2007-05-23 G. J. Stephens

We study the nonequilibrium dynamics leading to the formation of topological defects in a symmetry-breaking phase transition of a quantum scalar field with \lambda\Phi^4 self-interaction in a spatially flat, radiation-dominated…

General Relativity and Quantum Cosmology · Physics 2009-10-31 G. J. Stephens , E. A. Calzetta , B. L. Hu , S. A. Ramsey

We derive the effective equations for the out of equilibrium time evolution of the order parameter and the fluctuations of a scalar field theory in spatially flat FRW cosmologies. After setting the problem in general we propose a…

High Energy Physics - Phenomenology · Physics 2007-05-23 H. J. de Vega

We derive the effective equations for the out of equilibrium time evolution of the order parameter and the fluctuations of a scalar field theory in spatially flat FRW cosmologies.The calculation is performed both to one-loop and in a…

High Energy Physics - Phenomenology · Physics 2009-10-22 D. Boyanovsky , H. J. de Vega , R. Holman

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 propose a quantum approach to nonequilibrium dynamics which combines the successful aspects of classical-statistical simulations on a lattice with the ability to take into account quantum corrections. It is based on the 2PI effective…

High Energy Physics - Phenomenology · Physics 2015-03-17 J. Berges , S. Roth

We study nonequilibrium dynamics of relativistic $N$-component scalar field theories in Minkowski space-time in a classical-statistical regime, where typical occupation numbers of modes are much larger than unity. In this strongly…

High Energy Physics - Phenomenology · Physics 2024-03-14 Viktoria Noel , Daniel Spitz

Our understanding of the mechanism by which topological defects are formed in symmetry breaking phase transitions has recently changed. We examine the non-equilibrium dynamics of defect formation for weakly-coupled global O(N) theories…

High Energy Physics - Theory · Physics 2010-11-01 A. J. Gill , R. J. Rivers

In this brief review we introduce the methods of quantum field theory out of equilibrium and study the non-equilibrium aspects of phase transitions. Specifically we critically study the picture of the ``slow-roll'' phase transition in the…

High Energy Physics - Theory · Physics 2009-09-25 D. Boyanovsky , H. J. de Vega , R. Holman

The formation of an equilibrium quantum state from an uncorrelated thermal one through the dynamical crossing of a phase transition is a central question of non-equilibrium many-body physics. During such crossing, the system breaks its…

Quantum Gases · Physics 2018-06-18 I. -K. Liu , S. Donadello , G. Lamporesi , G. Ferrari , S. -C. Gou , F. Dalfovo , N. P. Proukakis

We present a new perturbative formulation of non-equilibrium thermal field theory, based upon non-homogeneous free propagators and time-dependent vertices. Our approach to non-equilibrium dynamics yields time-dependent diagrammatic…

High Energy Physics - Phenomenology · Physics 2013-10-11 Peter Millington , Apostolos Pilaftsis

In the course of a non-equilibrium continuous phase transition, the dynamics ceases to be adiabatic in the vicinity of the critical point as a result of the critical slowing down (the divergence of the relaxation time in the neighborhood of…

Statistical Mechanics · Physics 2014-06-03 Adolfo del Campo , Wojciech H. Zurek

We review the current issues of nonequilibrium phase transitions, in particular, in the early universe. Phase transitions cannot maintain thermal equilibrium and become nonequilibrium when the thermal relaxation time scale is greater than…

High Energy Physics - Phenomenology · Physics 2009-11-10 Sang Pyo Kim

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

Scalar fields in the early Universe are mostly discussed in two limits: either in equilibrium or completely decoupled. In this work we discuss scenarios where there are scalar fields that are not in equilibrium, but for which the coupling…

High Energy Physics - Phenomenology · Physics 2025-07-30 V. Knapp-Perez , Gopolang Mohlabeng , Michael Ratz , Tim M. P. Tait

In this review, we study some aspects of the non-equilibrium dynamics of quantum systems. In particular, we consider the effect of varying a parameter in the Hamiltonian of a quantum system which takes it across a quantum critical point or…

Statistical Mechanics · Physics 2015-05-14 Shreyoshi Mondal , Diptiman Sen , K. Sengupta

We study the classical non-equilibrium statistical mechanics of scalar field theory on the lattice. Steady states are analyzed near and far from equilibrium. The bulk thermal conductivity is computed, including its temperature dependence.…

High Energy Physics - Phenomenology · Physics 2009-10-31 Kenichiro Aoki , Dimitri Kusnezov

Topological defects can have significant cosmological consequences, so their production must be examined carefully. It is usually assumed that topological defects are produced if the temperature becomes sufficiently high, but in reality…

High Energy Physics - Phenomenology · Physics 2026-01-19 Junseok Lee , Kai Murai , Kazunori Nakayama , Fuminobu Takahashi
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