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We investigate the non-equilibrium properties of an N-component scalar field theory. The time evolution of the correlation functions for an arbitrary ensemble of initial conditions is described by an exact functional differential equation.…

高能物理 - 唯象学 · 物理学 2016-09-06 Luis M. A. Bettencourt , Christof Wetterich

We study the time evolution of correlation functions in closed quantum systems for nonequilibrium ensembles of initial conditions. For a scalar quantum field theory we show that generic time-reversal invariant evolutions approach…

高能物理 - 唯象学 · 物理学 2010-02-04 J. Berges , J. Cox

The real- and imaginary-time-formalisms of thermal field theory and their extension to gauge theories is reviewed. Questions of gauge (in-)dependence are discussed in detail, in particular the possible gauge dependences of the singularities…

高能物理 - 唯象学 · 物理学 2007-05-23 Anton Rebhan

Calculations of high-energy processes involving the production of a large number of particles in weakly-coupled quantum field theories have previously signaled the need for novel non-perturbative behavior or even new physical phenomena. In…

高能物理 - 唯象学 · 物理学 2022-04-13 Sebastian Schenk

We use a combination of perturbation theory and numerical techniques to study the equilibration of two interacting fields which are initially at thermal equilibrium at different temperatures. Using standard rules of quantum field theory, we…

高能物理 - 唯象学 · 物理学 2009-11-07 E. Vaz , M. E. Carrington , R. Kobes , G. Kunstatter

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…

高能物理 - 唯象学 · 物理学 2017-08-23 Gert Aarts

Conventional finite-temperature perturbation theory in which propagators have poles at $k^{2}=m^{2}$ is shown to break down at the two-loop level for self-interacting scalar fields. The breakdown is avoided by using free thermal propagators…

高能物理 - 唯象学 · 物理学 2007-05-23 H. Arthur Weldon

We establish from first principles a perturbative framework that allows us to compute reaction rates for processes taking place in nonequilibrium $O (N)$ linear-sigma systems in broken phase. The system of our concern is quasiuniform system…

高能物理 - 唯象学 · 物理学 2016-08-15 A. Niégawa

The Riemann-Hilbert problem associated with the integrable PDE is used as a nonlinear transformation of the nearly integrable PDE to the spectral space. The temporal evolution of the spectral data is derived with account for arbitrary…

可精确求解与可积系统 · 物理学 2015-06-26 V. S. Shchesnovich

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…

高能物理 - 唯象学 · 物理学 2009-10-22 D. Boyanovsky , H. J. de Vega , R. Holman

Conventional transport theory is not really applicable to non-equilibrium systems which exhibit strong quantum effects. We present two different approaches to overcome this problem. Firstly we point out how transport equations may be…

高能物理 - 唯象学 · 物理学 2015-06-25 P. A. Henning , K. Nakamura , Y. Yamanaka

A complete set of Feynman rules is derived, which permits a perturbative description of the nonequilibrium dynamics of a symmetry-breaking phase transition in $\lambda\phi^4$ theory in an expanding universe. In contrast to a naive expansion…

高能物理 - 理论 · 物理学 2009-10-31 Ian D. Lawrie

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…

高能物理 - 理论 · 物理学 2010-02-04 J. Berges , Sz. Borsanyi

It has long been understood that the inclusion of temperature in the perturbative treatment of quantum field theories leads to complications that are not present at zero temperature. In these proceedings we report on the non-perturbative…

高能物理 - 唯象学 · 物理学 2025-02-21 Peter Lowdon , Owe Philipsen

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…

高能物理 - 唯象学 · 物理学 2008-11-26 Gert Aarts , Gian Franco Bonini , Christof Wetterich

For a wide class of nonlinear equations a perturbative solution is constructed. This class includes equations of motion of field theories. The solution possesses a graphical representation in terms of diagrams. To illustrate the formalism…

高能物理 - 理论 · 物理学 2009-10-24 A. V. Bratchikov

A field theory approach for the nonequilibrium relaxation dynamics in open systems at late times is developed. In the absence of conservation laws, all excitations are subject to dissipation. Nevertheless, ordered stationary states satisfy…

统计力学 · 物理学 2024-04-04 Johannes Lang , Michael Buchhold , Sebastian Diehl

We use the non-perturbative renormalization group to clarify some features of perturbation theory in thermal field theory. For the specific case of the scalar field theory with O(N) symmetry, we solve the flow equations within the local…

高能物理 - 唯象学 · 物理学 2008-11-26 Jean-Paul Blaizot , Andreas Ipp , Ramon Mendez-Galain , Nicolas Wschebor

A quantum scalar field theory with spacetime-dependent coupling is studied. Surprisingly, while translation invariance is explicitly broken in the classical theory, momentum conservation is recovered at the quantum level for some specific…

高能物理 - 理论 · 物理学 2014-01-29 Gianluca Calcagni , Giuseppe Nardelli

Field theory at nonvanishing temperature beyond perturbation theory is discussed for the $N$-component $O(N)$-symmetric scalar theory. We compute the effective potential directly in three dimensions using an exact evolution equation for an…

高能物理 - 唯象学 · 物理学 2007-05-23 J. Berges